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Relevant bibliographies by topics / Iwasawa

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Academic literature on the topic 'Iwasawa'

Author: Grafiati

Published: 4 June 2021

Last updated: 11 February 2022

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Journal articles on the topic "Iwasawa"

1

Ueki, Jun. "On the Iwasawa invariants for links and Kida’s formula." International Journal of Mathematics 28, no. 06 (2017): 1750035. http://dx.doi.org/10.1142/s0129167x17500355.

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Analogues of Iwasawa invariants in the context of 3-dimensional topology have been studied by M. Morishita and others. In this paper, following the dictionary of arithmetic topology, we formulate an analogue of Kida’s formula on [Formula: see text]-invariants in a [Formula: see text]-extension of [Formula: see text]-fields for 3-manifolds. The proof is given in a parallel manner to Iwasawa’s second proof, with use of [Formula: see text]-adic representations of a finite group. In the course of our arguments, we introduce the notion of a branched [Formula: see text]-cover as an inverse system of

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2

Gold, Robert, and Manohar Madan. "Iwasawa invariants." Communications in Algebra 13, no. 7 (1985): 1559–78. http://dx.doi.org/10.1080/00927878508823239.

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Friedman, Eduardo. "Iwasawa invariants." Mathematische Annalen 271, no. 1 (1985): 13–30. http://dx.doi.org/10.1007/bf01455793.

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KADOKAMI, TERUHISA, and YASUSHI MIZUSAWA. "IWASAWA TYPE FORMULA FOR COVERS OF A LINK IN A RATIONAL HOMOLOGY SPHERE." Journal of Knot Theory and Its Ramifications 17, no. 10 (2008): 1199–221. http://dx.doi.org/10.1142/s0218216508006580.

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Based on the analogy between links and primes, we present an analogue of the Iwasawa's class number formula in a Zp-extension for the p-homology groups of pn-fold cyclic covers of a link in a rational homology 3-sphere. We also describe the associated Iwasawa invariants precisely for some examples and discuss analogies with the number field case.

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SCHETTLER, JORDAN. "GENERALIZATIONS OF IWASAWA'S "RIEMANN–HURWITZ" FORMULA FOR CYCLIC p-EXTENSIONS OF NUMBER FIELDS." International Journal of Number Theory 10, no. 01 (2014): 219–33. http://dx.doi.org/10.1142/s1793042113500905.

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We produce generalizations of Iwasawa's "Riemann–Hurwitz" formula for number fields. These generalizations apply to cyclic extensions of number fields of degree pn for any positive integer n. We first deduce some congruences and inequalities and then use these formulas to establish a vanishing criterion for Iwasawa λ-invariants which generalizes a result of Fukuda et al. for totally real number fields.

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Rogov, Vasily. "Complex Geometry of Iwasawa Manifolds." International Mathematics Research Notices 2020, no. 23 (2018): 9420–39. http://dx.doi.org/10.1093/imrn/rny230.

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Abstract An Iwasawa manifold is a compact complex homogeneous manifold isomorphic to a quotient $G/\Lambda $, where $G$ is the group of complex unipotent $3 \times 3$ matrices and $\Lambda \subset G$ is a cocompact lattice. In this work, we study holomorphic submanifolds in Iwasawa manifolds. We prove that any compact complex curve in an Iwasawa manifold is contained in a holomorphic subtorus. We also prove that any complex surface in an Iwasawa manifold is either an abelian surface or a Kähler non-projective isotrivial elliptic surface of Kodaira dimension one. In the Appendix, we show that a

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7

Büyükboduk, Kâzım. "Stark units and the main conjectures for totally real fields." Compositio Mathematica 145, no. 5 (2009): 1163–95. http://dx.doi.org/10.1112/s0010437x09004163.

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AbstractThe main theorem of the author’s thesis suggests that it should be possible to lift the Kolyvagin systems of Stark units, constructed by the author in an earlier paper, to a Kolyvagin system over the cyclotomic Iwasawa algebra. In this paper, we verify that this is indeed the case. This construction of Kolyvagin systems over the cyclotomic Iwasawa algebra from Stark units provides the first example towards a more systematic study of Kolyvagin system theory over an Iwasawa algebra when the core Selmer rank (in the sense of Mazur and Rubin) is greater than one. As a result of this constr

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8

Johnston, Henri, and Andreas Nickel. "Hybrid Iwasawa algebras and the equivariant Iwasawa main conjecture." American Journal of Mathematics 140, no. 1 (2018): 245–76. http://dx.doi.org/10.1353/ajm.2018.0005.

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9

HAJIR, FARSHID, and CHRISTIAN MAIRE. "Prime decomposition and the Iwasawa MU-invariant." Mathematical Proceedings of the Cambridge Philosophical Society 166, no. 3 (2018): 599–617. http://dx.doi.org/10.1017/s0305004118000191.

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AbstractFor Γ = ℤp, Iwasawa was the first to construct Γ-extensions over number fields with arbitrarily large μ-invariants. In this work, we investigate other uniform pro-p groups which are realisable as Galois groups of towers of number fields with arbitrarily large μ-invariant. For instance, we prove that this is the case if p is a regular prime and Γ is a uniform pro-p group admitting a fixed-point-free automorphism of odd order dividing p−1. Both in Iwasawa's work, and in the present one, the size of the μ-invariant appears to be intimately related to the existence of primes that split com

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10

Barnes, Donald W. "Ado-Iwasawa extras." Journal of the Australian Mathematical Society 78, no. 3 (2005): 407–21. http://dx.doi.org/10.1017/s1446788700008600.

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AbstractLet L be a finite-dimensional Lie algebra over the field F. The Ado-Iwasawa Theorem asserts the existence of a finite-dimensional L-module which gives a faithful representation ρ of L. Let S be a subnormal subalgebra of L, let be a saturated formation of soluble Lie algebras and suppose that S ∈ . I show that there exists a module V with the extra property that it is -hypercentral as S-module. Further, there exists a module V which has this extra property simultaneously for every such S and , along with the Hochschild extra that ρ(x) is nilpotent for every x ∈ L with ad(x) nilpotent. I

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Dissertations / Theses on the topic "Iwasawa"

1

Hahn, Rebekah D. "K(1)-local Iwasawa theory /." Thesis, Connect to this title online; UW restricted, 2003. http://hdl.handle.net/1773/5736.

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2

Ochi, Yoshihiro. "Iwasawa modules via homotopy theory." Thesis, University of Cambridge, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.624327.

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3

Tang, Shu-Leung. "Iwasawa invariants over quadratic fields /." The Ohio State University, 1993. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487844105976629.

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4

Buyukboduk, Kazim. "Kolyvagin Systems over an Iwasawa algebra /." May be available electronically:, 2007. http://proquest.umi.com/login?COPT=REJTPTU1MTUmSU5UPTAmVkVSPTI=&clientId=12498.

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5

Drinen, Michael Jeffrey. "Iwasawa mu-invariants of Selmer groups /." Thesis, Connect to this title online; UW restricted, 1999. http://hdl.handle.net/1773/5810.

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Oh, Jangheon. "On Zeta Functions and Iwasawa Modules /." The Ohio State University, 1995. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487930304689598.

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7

Venjakob, Otmar. "Iwasawa theory of p-adic Lie extensions." [S.l. : s.n.], 2001. http://www.bsz-bw.de/cgi-bin/xvms.cgi?SWB9590147.

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8

Venjakob, Otmar. "Iwasawa theory of r-adic [rho-adic] Lie extensions." [S.l.] : [s.n.], 2000. http://deposit.ddb.de/cgi-bin/dokserv?idn=961907630.

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Nichifor, Alexandra. "Iwasawa theory for elliptic curves with cyclic isogenies /." Thesis, Connect to this title online; UW restricted, 2004. http://hdl.handle.net/1773/5816.

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10

Lei, Antonio. "Iwasawa theory for modular forms at supersingular primes." Thesis, University of Cambridge, 2010. https://www.repository.cam.ac.uk/handle/1810/226747.

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Let f=\sum a_nq n be a normalised eigen-newform of weight k\ge2 and p an odd prime which does not divide the level of f. We study a reformulation of Kato's main conjecture for f over the Zp-cyclotomic extension of Q. In particular, we generalise Kobayashi's main conjecture on p-supersingular elliptic curves over Q with a_p=0, which asserts that Pollack's p-adic L-functions generate the characteristic ideals of some \pm-Selmer groups which are cotorsion over the Iwasawa algebra \Lambda=Zp[[Zp]]. We begin by studying the p-adic Hodge theory for the p-adic representation associated to f in the ca

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Books on the topic "Iwasawa"

1

Bouganis, Thanasis, and Otmar Venjakob, eds. Iwasawa Theory 2012. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-55245-8.

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2

1927-, Satake Ichirō, ed. Kenkichi Iwasawa collected papers. Springer, 2001.

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3

Iwasawa, Kenkichi. Kenkichi Iwasawa collected papers. Springer, 2001.

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4

Satake, Ichiro, Genjiro Fujisaki, Kazuya Kato, Masato Kurihara, and Shoichi Nakajima, eds. Kenkichi Iwasawa Collected Papers. Springer Japan, 2001. http://dx.doi.org/10.1007/978-4-431-67947-9.

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5

Hilbert modular forms and Iwasawa theory. Clarendon, 2006.

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6

Guwahati Workshop on Iwasawa Theory of Totally Real Fields (2008 Indian Institute of Technology, Guwahati). Guwahati Workshop on Iwasawa Theory of Totally Real Fields. Edited by Coates, J., editor of compilation and Ramanujan Mathematical Society. Ramanujan Mathematical Society, 2010.

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7

Iwasawa theory, projective modules, and modular representations. American Mathematical Society, 2010.

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8

Non-abelian fundamental groups in Iwasawa theory. Cambridge University Press, 2011.

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9

Loeffler, David, and Sarah Livia Zerbes, eds. Elliptic Curves, Modular Forms and Iwasawa Theory. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45032-2.

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10

Coates, John, Minhyong Kim, Florian Pop, Mohamed Saidi, and Peter Schneider, eds. Non-abelian Fundamental Groups and Iwasawa Theory. Cambridge University Press, 2009. http://dx.doi.org/10.1017/cbo9780511984440.

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Book chapters on the topic "Iwasawa"

1

Neukirch, Jürgen, Alexander Schmidt, and Kay Wingberg. "Iwasawa Modules." In Grundlehren der mathematischen Wissenschaften. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-37889-1_5.

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2

Fernández, Marisa, and Alfred Gray. "The Iwasawa manifold." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0076628.

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3

Bump, Daniel. "The Iwasawa Decomposition." In Lie Groups. Springer New York, 2004. http://dx.doi.org/10.1007/978-1-4757-4094-3_29.

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4

Jorgenson, Jay, and Serge Lang. "Iwasawa Decomposition and Positivity." In Springer Monographs in Mathematics. Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4684-9302-3_1.

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5

Lang, Serge. "Measures and Iwasawa Power Series." In Graduate Texts in Mathematics. Springer New York, 1990. http://dx.doi.org/10.1007/978-1-4612-0987-4_10.

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6

Lang, Serge. "Iwasawa Theory of Local Units." In Graduate Texts in Mathematics. Springer New York, 1990. http://dx.doi.org/10.1007/978-1-4612-0987-4_7.

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7

Greenberg, Ralph. "Iwasawa theory for elliptic curves." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/bfb0093453.

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8

Neukirch, Jürgen, Alexander Schmidt, and Kay Wingberg. "Iwasawa Theory of Number Fields." In Grundlehren der mathematischen Wissenschaften. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-37889-1_11.

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9

Wuthrich, Christian. "Overview of Some Iwasawa Theory." In Contributions in Mathematical and Computational Sciences. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-55245-8_1.

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10

Fukaya, Takako, Kazuya Kato, and Romyar Sharifi. "Modular Symbols in Iwasawa Theory." In Contributions in Mathematical and Computational Sciences. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-55245-8_5.

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Conference papers on the topic "Iwasawa"

1

Misra, Aalok. "Uplifting the Iwasawa." In PARTICLES, STRINGS, AND COSMOLOGY: 11th International Symposium on Particles, Strings, and Cosmology; PASCOS 2005. AIP, 2005. http://dx.doi.org/10.1063/1.2149733.

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2

Jian, Bing, and Baba C. Vemuri. "Metric Learning Using Iwasawa Decomposition." In 2007 IEEE 11th International Conference on Computer Vision. IEEE, 2007. http://dx.doi.org/10.1109/iccv.2007.4408846.

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3

Lenz, Reiner, Rika Mochizuki, and Jinhui Chao. "Iwasawa Decomposition and Computational Riemannian Geometry." In 2010 20th International Conference on Pattern Recognition (ICPR). IEEE, 2010. http://dx.doi.org/10.1109/icpr.2010.1086.

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4

Kissel, Glen J. "Analyzing light localization using Iwasawa-canonical transfer matrices." In Integrated Optoelectronic Devices 2008, edited by Ali Adibi, Shawn-Yu Lin, and Axel Scherer. SPIE, 2008. http://dx.doi.org/10.1117/12.763886.

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5

Lu, Shengnan, Xilun Ding, and Gregory S. Chirikjian. "Rotations in a Non-Orthogonal Frame." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85862.

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This paper is concerned with describing the space of matrices that describe rotations in non-orthogonal coordinates. In scenarios such as in crystallography, conformational analysis of polymers, and in the study of deployable mechanisms and rigid origami, non-orthogonal reference frames are natural. For example, non-orthogonal vectors in the direction of atomic bonds in a molecule, the lattice coordinates of a crystal, or the directions of links in a mechanism are intrinsic. In these cases it is awkward to impose an artificial orthonormal reference frame rather than choosing one that is define

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6

Hasegawa, Masayasu, Michele Brambilla, and Francesco Di Renzo. "Renormalization constants for Iwasaki action." In XXIX International Symposium on Lattice Field Theory. Sissa Medialab, 2012. http://dx.doi.org/10.22323/1.139.0228.

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Cohen, Saul. "B_K on 2+1 flavor Iwasaki DWF lattices." In XXIVth International Symposium on Lattice Field Theory. Sissa Medialab, 2006. http://dx.doi.org/10.22323/1.032.0080.

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Taniguchi, Yusuke. "Renormalization factor of four fermi operators with clover fermion and Iwasaki gauge action." In XXIX International Symposium on Lattice Field Theory. Sissa Medialab, 2012. http://dx.doi.org/10.22323/1.139.0331.

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9

Taniguchi, Yusuke. "Non-perturbative evaluation of c_SW for smeared link clover fermion with Iwasaki gauge action." In The 30th International Symposium on Lattice Field Theory. Sissa Medialab, 2012. http://dx.doi.org/10.22323/1.164.0236.

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Jackson, Jane, Cherry Chan Sin Yu, and Tongle Sun. "Language and (Inter)cultural Socialization in Study Abroad (SA) Contexts." In GLOCAL Conference on Asian Linguistic Anthropology 2019. The GLOCAL Unit, SOAS University of London, 2019. http://dx.doi.org/10.47298/cala2019.17-4.

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Students who participate in a study abroad (SA) program are naturally exposed to new ‘ways of being’ (e.g., unfamiliar linguistic and cultural practices) and as they adjust to the host environment, they may experience acculturative stress and identity confusion (Jackson 2018, 2020). To better understand the challenges facing second language (L2) SA participants, applied linguists in various parts of the world are conducting introspective studies that seek to identify and make sense of factors that can influence L2 socialization and sojourn outcomes (e.g., language proficiency gains, intercultu

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