Relevant bibliographies by topics / Holomorphic fiber spaces

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  1. Journal articles
  2. Dissertations / Theses
  3. Books

Academic literature on the topic 'Holomorphic fiber spaces'

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

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Journal articles on the topic "Holomorphic fiber spaces"

1

BHARALI, GAUTAM, and INDRANIL BISWAS. "RIGIDITY OF HOLOMORPHIC MAPS BETWEEN FIBER SPACES." International Journal of Mathematics 25, no. 01 (2014): 1450006. http://dx.doi.org/10.1142/s0129167x14500062.

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In the study of holomorphic maps, the term "rigidity" refers to certain types of results that give us very specific information about a general class of holomorphic maps owing to the geometry of their domains or target spaces. Under this theme, we begin by studying when, given two compact connected complex manifolds X and Y, a degree-one holomorphic map f : Y → X is a biholomorphism. Given that the real manifolds underlying X and Y are diffeomorphic, we provide a condition under which f is a biholomorphism. Using this result, we deduce a rigidity result for holomorphic self-maps of the total s
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Heinzner, Peter, and Andrea Iannuzzi. "Integration of local actions on holomorphic fiber spaces." Nagoya Mathematical Journal 146 (June 1997): 31–53. http://dx.doi.org/10.1017/s0027763000006206.

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Abstract.It is proved that every holomorphically convex complex space endowed with an action of a compact Lie group K can be realized as an open K-stable subspace of a holomorphically convex space endowed with a holomorphic action of the complexified group KC. Similar results are obtained for holomorphic if-bundles over such spaces.
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KAZAMA, Hideaki, and Takashi UMENO. "Dolbeault isomorphisms for holomorphic vector bundles over holomorphic fiber spaces and applications." Journal of the Mathematical Society of Japan 45, no. 1 (1993): 121–30. http://dx.doi.org/10.2969/jmsj/04510121.

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Vâjâitu, Viorel. "One dimensional fibering over q-complete spaces." Nagoya Mathematical Journal 151 (June 1998): 99–106. http://dx.doi.org/10.1017/s0027763000025198.

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Lee, Min Ho. "Theta functions on Hermitian symmetric domains and fock representations." Journal of the Australian Mathematical Society 74, no. 2 (2003): 201–34. http://dx.doi.org/10.1017/s1446788700003256.

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AbstractOne way of realizing representations of the Heisenberg group is by using Fock representations, whose representation spaces are Hilbert spaces of functions on complex vector space with inner products associated to points on a Siegel upper half space. We generalize such Fock representations using inner products associated to points on a Hermitian symmetric domain that is mapped into a Seigel upper half space by an equivariant holomorphic map. The representations of the Heisenberg group are then given by an automorphy factor associated to a Kuga fiber variety. We introduce theta functions
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Spong, Matthew. "A construction of complex analytic elliptic cohomology from double free loop spaces." Compositio Mathematica 157, no. 8 (2021): 1853–97. http://dx.doi.org/10.1112/s0010437x21007363.

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We construct a complex analytic version of an equivariant cohomology theory which appeared in a paper of Rezk, and which is roughly modelled on the Borel-equivariant cohomology of the double free loop space. The construction is defined on finite, torus-equivariant CW complexes and takes values in coherent holomorphic sheaves over the moduli stack of complex elliptic curves. Our methods involve an inverse limit construction over all finite-dimensional subcomplexes of the double free loop space, following an analogous construction of Kitchloo for single free loop spaces. We show that, for any gi
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7

Gilligan, B., K. Oeljeklaus, and W. Richthofer. "Homogeneous Complex Manifolds with more than One End." Canadian Journal of Mathematics 41, no. 1 (1989): 163–77. http://dx.doi.org/10.4153/cjm-1989-008-4.

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For homogeneous spaces of a (real) Lie group one of the fundamental results concerning ends (in the sense of Freudenthal [8] ) is due to A. Borel [6]. He showed that if X = G/H is the homogeneous space of a connected Lie group G by a closed connected subgroup H, then X has at most two ends. And if X does have two ends, then it is diffeomorphic to the product of R with the orbit of a maximal compact subgroup of G.In the setting of homogeneous complex manifolds the basic idea should be to find conditions which imply that the space has at most two ends and then, when the space has exactly two end
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Ohsawa, Takeo. "On the stability of pseudoconvexity for certain covering spaces." Nagoya Mathematical Journal 147 (September 1997): 107–12. http://dx.doi.org/10.1017/s0027763000006334.

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AbstractIt is proved that, if is a proper holomorphic map with one-dimensional fibers and a covering map, a point t ∈ T has a neighbourhood U such that is holomorphically convex if and only if is holomorphically convex.
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9

SUZUKI, Makoto. "Moduli spaces of holomorphic mappings into hyperbolically imbedded complex spaces and hyperbolic fibre spaces." Journal of the Mathematical Society of Japan 46, no. 4 (1994): 681–98. http://dx.doi.org/10.2969/jmsj/04640681.

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10

Lee, Min Ho. "Cohomology of Complex Torus Bundles Associated to Cocycles." Canadian Journal of Mathematics 55, no. 4 (2003): 839–55. http://dx.doi.org/10.4153/cjm-2003-035-x.

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AbstractEquivariant holomorphic maps of Hermitian symmetric domains into Siegel upper half spaces can be used to construct families of abelian varieties parametrized by locally symmetric spaces, which can be regarded as complex torus bundles over the parameter spaces. We extend the construction of such torus bundles using 2-cocycles of discrete subgroups of the semisimple Lie groups associated to the given symmetric domains and investigate some of their properties. In particular, we determine their cohomology along the fibers.
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Dissertations / Theses on the topic "Holomorphic fiber spaces"

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Siebert, Bernd. "Fibre cycles of holomorphic maps I. Local flattening; II. Fibre cycle space and canonical flattening /." [S.l. : s.n.], 1994. http://nbn-resolving.de/urn:nbn:de:bsz:25-opus-43914.

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Books on the topic "Holomorphic fiber spaces"

1

Marrakesh Workshop on Geometric Analysis of Several Complex Variables and Related Topics (2010 Marrakech, Morocco). Geometric analysis of several complex variables and related topics: Marrakesh Workshop on Geometric Analysis of Several Complex Variables and Related Topics, May 10-14, 2010, Marrakesh, Morocco. Edited by Barkatou Y. 1967-. American Mathematical Society, 2011.

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2

Mass.) AMS Special Session on Radon Transforms and Geometric Analysis (2012 Boston. Geometric analysis and integral geometry: AMS special session in honor of Sigurdur Helgason's 85th birthday, radon transforms and geometric analysis, January 4-7, 2012, Boston, MA ; Tufts University Workshop on Geometric Analysis on Euclidean and Homogeneous Spaces, January 8-9, 2012, Medford, MA. Edited by Quinto, Eric Todd, 1951- editor of compilation, Gonzalez, Fulton, 1956- editor of compilation, Christensen, Jens Gerlach, 1975- editor of compilation, and Tufts University. Workshop on Geometric Analysis on Euclidean and Homogeneous Spaces. American Mathematical Society, 2013.

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3

1938-, Griffiths Phillip, and Kerr Matthew D. 1975-, eds. Hodge theory, complex geometry, and representation theory. Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, 2013.

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4

Steven, Rosenberg, and Clara L. Aldana. Analysis, geometry, and quantum field theory: International conference in honor of Steve Rosenberg's 60th birthday, September 26-30, 2011, Potsdam University, Potsdam, Germany. American Mathematical Society, 2012.

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