Relevant bibliographies by topics / Theorie iwasawa

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  2. Dissertations / Theses
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Academic literature on the topic 'Theorie iwasawa'

Author: Grafiati
Published: 4 June 2021
Last updated: 4 February 2022

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Journal articles on the topic "Theorie iwasawa"

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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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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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Nickel, Andreas. "A Generalization of a Theorem of Swan with Applications to Iwasawa Theory." Canadian Journal of Mathematics 72, no. 3 (2018): 656–75. http://dx.doi.org/10.4153/s0008414x18000093.

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AbstractLet $p$ be a prime and let $G$ be a finite group. By a celebrated theorem of Swan, two finitely generated projective $\mathbb{Z}_{p}[G]$-modules $P$ and $P^{\prime }$ are isomorphic if and only if $\mathbb{Q}_{p}\otimes _{\mathbb{Z}_{p}}P$ and $\mathbb{Q}_{p}\otimes _{\mathbb{Z}_{p}}P^{\prime }$ are isomorphic as $\mathbb{Q}_{p}[G]$-modules. We prove an Iwasawa-theoretic analogue of this result and apply this to the Iwasawa theory of local and global fields. We thereby determine the structure of natural Iwasawa modules up to (pseudo-)isomorphism.
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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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Ji, Qingzhong, and Hourong Qin. "Iwasawa Theory for K2n." Journal of K-Theory 12, no. 1 (2013): 115–23. http://dx.doi.org/10.1017/is013004020jkt225.

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AbstractGiven a number field F and a prime number p; let Fn denote the cyclotomic extension with [Fn : F] = pn; and let $\mathematical script capital(O)_F_n\$ denote its ring of integers. We establish an analogue of the classical Iwasawa theorem for the orders of K2i ($\mathematical script capital(O)_F_n\$){p}.
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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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Burns, David, and Otmar Venjakob. "On descent theory and main conjectures in non-commutative Iwasawa theory." Journal of the Institute of Mathematics of Jussieu 10, no. 1 (2010): 59–118. http://dx.doi.org/10.1017/s147474800900022x.

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AbstractWe develop an explicit descent theory in the context of Whitehead groups of non-commutative Iwasawa algebras. We apply this theory to describe the precise connection between main conjectures of non-commutative Iwasawa theory (in the spirit of Coates, Fukaya, Kato, Sujatha and Venjakob) and the equivariant Tamagawa number conjecture. The latter result is both a converse to a theorem of Fukaya and Kato and also provides an important means of deriving explicit consequences of the main conjecture and proving special cases of the equivariant Tamagawa number conjecture.
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ITOH, TSUYOSHI, YASUSHI MIZUSAWA та MANABU OZAKI. "ON THE ℤp-RANKS OF TAMELY RAMIFIED IWASAWA MODULES". International Journal of Number Theory 09, № 06 (2013): 1491–503. http://dx.doi.org/10.1142/s1793042113500395.

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For a finite set S of prime numbers, we consider the S-ramified Iwasawa module which is the Galois group of the maximal abelian pro-p-extension unramified outside S over the cyclotomic ℤp-extension of a number field k. In the case where S does not contain p and k is the rational number field or an imaginary quadratic field, we give the explicit formulae of the ℤp-ranks of the S-ramified Iwasawa modules by using Brumer's p-adic version of Baker's theorem on the linear independence of logarithms of algebraic numbers.
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BARMAN, RUPAM. "ANOTHER LOOK AT IWASAWA λ-INVARIANTS OF p-ADIC MEASURES ON $\mathbb {Z}_{p}^n$ AND Γ-TRANSFORMS". International Journal of Number Theory 09, № 05 (2013): 1289–99. http://dx.doi.org/10.1142/s1793042113500279.

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In [Iwasawa λ-invariants of p-adic measures on [Formula: see text] and their Γ-transforms, J. Number Theory132(10) (2012) 2258–2266; Iwasawa λ-invariants and Γ-transforms of p-adic measure on [Formula: see text], Int. J. Number Theory6(8) (2010) 1819–1829], the author and Saikia defined Iwasawa λ-invariants for multi-variable power series and proved a relation between the Iwasawa λ-invariant of a p-adic measure on [Formula: see text] and its Γ-transform. In this paper, we give two new definitions of λ-invariants for multi-variable power series which generalize the λ-invariant of single variabl
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Vallières, Daniel. "A remark on a result of Iwasawa on Hecke characters of type A0." International Journal of Number Theory 10, no. 08 (2014): 1939–53. http://dx.doi.org/10.1142/s179304211450064x.

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Let K and L be two number fields. Previously, Iwasawa proved a theorem about Hecke characters of K with values in L under the assumptions that K is Galois over ℚ, K is a CM-field and K ⊆ L. In this paper, we remove these hypotheses.
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Dissertations / Theses on the topic "Theorie iwasawa"

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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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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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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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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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Saby, Nicolas. "Théorie d'Iwasawa géométrique : un théorème de comparaison." Grenoble 1, 1994. http://www.theses.fr/1994GRE10015.

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En 1983, mazur et wiles dont demontre un theoreme de comparaison reliant la fonction l-p adique de kubota-leopoldt a la serie caracteristique associee a la tour des courbes d'igusa de niveau p#n (p premier impair). Je generalise ce resultat au cas de la tour des courbes d'igusa de niveau np#n, ou n est un entier plus grand que 5 premier a p, avec des hypotheses peu restrictives sur le caractere de la fonction l-p adique et par une methode nouvelle. Pour cela, on definit un ideal d'eisenstein dans l'algebre de hecke ordinaire de hida qui est relie a la fonction l-p adique. L'essentiel du travai
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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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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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Howson, S. "Iwasawa theory of elliptic curves for p-adic Lie extensions." Thesis, University of Cambridge, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.604677.

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McConnell, Gary. "On the Iwasawa theory of elliptic curves over cyclotomic fields." Thesis, University of Cambridge, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.307064.

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Sydenham, Andrew Leslie. "Iwasawa theory for the symmetric square of an elliptic curve." Thesis, University of Cambridge, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.627342.

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Books on the topic "Theorie iwasawa"

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

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

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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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Hilbert modular forms and Iwasawa theory. Clarendon, 2006.

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

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

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Ritter, J. The lifted root number conjecture and Iwasawa theory. American Mathematical Society, 2002.

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Iwasawa theory of elliptic curves withcomplex multiplication: P-adic L functions. Academic Press, 1987.

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Shalit, Ehud De. Iwasawa theory of elliptic curves with complex multiplication: P-adic L functions. Academic Press, 1987.

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1958-, Childress Nancy, and Jones John W. 1961-, eds. Arithmetic geometry: Conference on Arithmetic Geometry with an Emphasis on Iwasawa Theory, March 15-18, 1993, Arizona State University. American Mathematical Society, 1994.

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Book chapters on the topic "Theorie iwasawa"

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Satake, Ichiro, Genjiro Fujisaki, Kazuya Kato, Masato Kurihara, and Shoichi Nakajima. "Zur Theorie der algebraischen Korrespondenzen I, Schnittpunktgruppen von Korrespondenzen." In Kenkichi Iwasawa Collected Papers. Springer Japan, 2001. http://dx.doi.org/10.1007/978-4-431-67947-9_14.

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Satake, Ichiro, Genjiro Fujisaki, Kazuya Kato, Masato Kurihara, and Shoichi Nakajima. "Zur Theorie der algebraischen Korrespondenzen II, Multiplikation der Korrespondenzen." In Kenkichi Iwasawa Collected Papers. Springer Japan, 2001. http://dx.doi.org/10.1007/978-4-431-67947-9_15.

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Kawahigashi, Y. "On normed rings and a theorem of Segal, II." In Kenkichi Iwasawa Collected Papers. Springer Japan, 2001. http://dx.doi.org/10.1007/978-4-431-67947-9_10.

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Kawahigashi, Y. "On normed rings and a theorem of Segal, I." In Kenkichi Iwasawa Collected Papers. Springer Japan, 2001. http://dx.doi.org/10.1007/978-4-431-67947-9_5.

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Mitchell, Stephen A. "K(1)-Local Homotopy, Iwasawa Theory and Algebraic K-Theory." In Handbook of K-Theory. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/978-3-540-27855-9_19.

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Itoh, Tsuyoshi. "On the Iwasawa μ-Invariant of the Cyclotomic ℤ p -Extension of Certain Quartic Fields." In Galois Theory and Modular Forms. Springer US, 2004. http://dx.doi.org/10.1007/978-1-4613-0249-0_16.

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Hida, Haruzo. "MODULAR IWASAWA THEORY." In Hilbert Modular Forms and Iwasawa Theory. Oxford University Press, 2006. http://dx.doi.org/10.1093/acprof:oso/9780198571025.003.0005.

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"An introduction to Iwasawa theory". У Introduction to 𝑝-adic Analytic Number Theory. American Mathematical Society, 2009. http://dx.doi.org/10.1090/amsip/027/10.

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Hida, Haruzo. "INTRODUCTION." In Hilbert Modular Forms and Iwasawa Theory. Oxford University Press, 2006. http://dx.doi.org/10.1093/acprof:oso/9780198571025.003.0001.

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Hida, Haruzo. "AUTOMORPHIC FORMS ON INNER FORMS OF GL(2)." In Hilbert Modular Forms and Iwasawa Theory. Oxford University Press, 2006. http://dx.doi.org/10.1093/acprof:oso/9780198571025.003.0002.

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Conference papers on the topic "Theorie iwasawa"

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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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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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Kelly, Christopher. "Continuum Results for Light Hadronic Quantities using Domain Wall Fermions with the Iwasaki and DSDR Gauge Actions." In XXIX International Symposium on Lattice Field Theory. Sissa Medialab, 2012. http://dx.doi.org/10.22323/1.139.0285.

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Namekawa, Yusuke. "Charm physics by $N_f=2+1$ Iwasaki gauge and the six stout smeared $O(a)$-improved Wilson quark actions on a $96^4$ lattice." In 34th annual International Symposium on Lattice Field Theory. Sissa Medialab, 2017. http://dx.doi.org/10.22323/1.256.0125.

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