Results 11 to 20 of about 3,784,223 (275)
Vaisman manifolds with vanishing first Chern class [PDF]
Journal of the European Mathematical Society (Print), 2023 Compact Vaisman manifolds with vanishing first Chern class split into three categories, depending on the sign of the Bott–Chern class. We show that Vaisman manifolds with non-positive Bott–Chern class admit canonical metrics, are quasi-regular and are ...
Nicolina Istrati
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Chern currents of coherent sheaves [PDF]
Épijournal de Géométrie Algébrique, 2022 Given a finite locally free resolution of a coherent analytic sheaf $\mathcal F$, equipped with Hermitian metrics and connections, we construct an explicit current, obtained as the limit of certain smooth Chern forms of $\mathcal F$, that represents the ...
Richard Lärkäng, Elizabeth Wulcan
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Kähler spaces with zero first Chern class: Bochner principle, Albanese map and fundamental groups [PDF]
Journal für die Reine und Angewandte Mathematik, 2020 Let X be a compact Kähler space with klt singularities and vanishing first Chern class. We prove the Bochner principle for holomorphic tensors on the smooth locus of X: any such tensor is parallel with respect to the singular Ricci-flat metrics.
B. Claudon +3 more
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Chern Class Inequalities on Polarized Manifolds and Nef Vector Bundles [PDF]
International mathematics research notices, 2020 This article is concerned with Chern class and Chern number inequalities on polarized manifolds and nef vector bundles. For a polarized pair $(M,L)$ with $L$ very ample, our 1st main result is a family of sharp Chern class inequalities.
Ping Li, F. Zheng
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The first Chern class and holomorphic symmetric tensor fields [PDF]
, 1980 Shôshichi Kobayashi
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On N $$ \mathcal{N} $$ = 4 supersymmetry enhancements in three dimensions
Journal of High Energy Physics, 2023 We introduce a class of 3d theories consisting of strongly-coupled N $$ \mathcal{N} $$ = 4 systems coupled to N $$ \mathcal{N} $$ = 3 Chern-Simons gauge multiplets, which exhibit N $$ \mathcal{N} $$ = 4 enhancements when a peculiar condition on the Chern-
Benjamin Assel +2 more
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CHERN CLASSES WITH MODULUS [PDF]
Nagoya Mathematical Journal, 2019 In this paper, we construct Chern classes from the relative $K$-theory of modulus pairs to the relative motivic cohomology defined by Binda–Saito. An application to relative motivic cohomology of henselian dvr is given.
RYOMEI IWASA, WATARU KAI
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Stiefel-Whitney topological charges in a three-dimensional acoustic nodal-line crystal
Nature Communications, 2023 Band topology of materials describes the extent Bloch wavefunctions are twisted in momentum space. Such descriptions rely on a set of topological invariants, generally referred to as topological charges, which form a characteristic class in the ...
Haoran Xue +6 more
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On the Cohomology Chern Classes of the K-Theory Chern Classes [PDF]
Proceedings of the American Mathematical Society, 1970 Let ξ \xi be a vector bundle over a finite complex and γ i ξ {\gamma ^i}\xi its i i th- K K theory Chern class. We first show that \[ c n
Smith, Mi-Soo Bae, Smith, Larry
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On the group of zero-cycles of holomorphic symplectic varieties [PDF]
Épijournal de Géométrie Algébrique, 2020 For a moduli space of Bridgeland-stable objects on a K3 surface, we show that the Chow class of a point is determined by the Chern class of the corresponding object on the surface.
Alina Marian, Xiaolei Zhao
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