Bogomolov–Sommese type vanishing theorem for holomorphic vector bundles equipped with positive singular Hermitian metrics [PDF]
Mathematische Zeitschrift, 2022 In this article, we obtain the Bogomolov–Sommese type vanishing theorem involving multiplier ideal sheaves for big line bundles. We define a dual Nakano semi-positivity of singular Hermitian metrics with $$L^2$$ L 2 -estimates and prove a vanishing ...
Yuta Watanabe
semanticscholar +1 more source
Complex‐valued analytic torsion for flat bundles and for holomorphic bundles with (1,1) connections [PDF]
, 2008 The work of Ray and Singer that introduced analytic torsion, a kind of determinant of the Laplacian operator in topological and holomorphic settings, is naturally generalized in both settings. The couplings are extended in a direct way in the topological
S. Cappell, E. Y. Miller
semanticscholar +1 more source
Pseudo-real principal Higgs bundles on compact Kaehler manifolds [PDF]
, 2012 Let $X$ be a compact connected Kahler manifold equipped with an anti-holomorphic involution which is compatible with the Kahler structure. Let $G$ be a connected complex reductive affine algebraic group equipped with a real form $\sigma_G$.
I. Biswas +2 more
semanticscholar +1 more source
Cohomological Yang-Mills Theories on Kahler 3-Folds [PDF]
, 2000 We study topological gauge theories with N=(2,0) supersymmetry based on stable bundles on general Kahler 3-folds. In order to have a theory that is well defined and well behaved, we consider a model based on an extension of the usual holomorphic bundle ...
Acharya +36 more
core +2 more sources
Holomorphic Vanishing Theorems on Finsler Holomorphic Vector Bundles and Complex Finsler Manifolds
Canadian mathematical bulletin, 2018 In this paper, we investigate the holomorphic sections of holomorphic Finsler bundles over both compact and non-compact complete complex manifolds. We also inquire into the holomorphic vector fields on compact and non-compact complete complex Finsler ...
B. Shen
semanticscholar +1 more source
Generalized Demailly–Semple jet bundles and holomorphic mappings into complex manifolds
Journal de Mathématiques Pures et Appliquées, 2011 31 ...
Pacienza, Gianluca, Rousseau, Erwan
openaire +3 more sources
Borel–Weil theory for groups over commutative Banach algebras [PDF]
, 2009 Let be a commutative unital Banach algebra, 𝔤 be a semisimple complex Lie algebra and be the 1-connected Banach–Lie group with Lie algebra . Then there is a natural concept of a parabolic subgroup of and we obtain generalizations of the generalized flag ...
K. Neeb, Henrik Seppänen
semanticscholar +1 more source
Toric Geometry and String Theory Descriptions of Qudit Systems [PDF]
, 2015 In this paper, we propose a new way to approach qudit systems using toric geometry and related topics including the local mirror symmetry used in the string theory compactification.
Adil Belhaj +6 more
core +1 more source
Borel-Weil Theory for Root Graded Banach-Lie groups [PDF]
, 2007 In this paper we introduce (weakly) root graded Banach--Lie algebras and corresponding Lie groups as natural generalizations of group like $\GL_n(A)$ for a Banach algebra $A$ or groups like $C(X,K)$ of continuous maps of a compact space $X$ into a ...
Christopher Mueller +2 more
semanticscholar +1 more source
Estimates of the number of rational mappings from a fixed variety to varieties of general type [PDF]
, 1997 First we find effective bounds for the number of dominant rational maps $f:X \rightarrow Y$ between two fixed smooth projective varieties with ample canonical bundles. The bounds are of the type $\{A \cdot K_X^n\}^{\{B \cdot K_X^n\}^2}$, where $n=dimX$, $
Bandman, T., Dethloff, G.
core +4 more sources