Results 61 to 70 of about 17,373 (192)
Continuity of HYM connections with respect to metric variations
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We investigate the set of (real Dolbeault classes of) balanced metrics Θ$\Theta$ on a balanced manifold X$X$ with respect to which a torsion‐free coherent sheaf E$\mathcal {E}$ on X$X$ is slope stable. We prove that the set of all such [Θ]∈Hn−1,n−1(X,R)$[\Theta] \in H^{n - 1,n - 1}(X,\mathbb {R})$ is an open convex cone locally defined by a ...
Rémi Delloque
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A Lipschitz version of de Rham theorem for $L_p$-cohomology [PDF]
, 2022 Vladimir Gol’dshtein, Roman Panenko
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De Rham cohomology of rigid spaces [PDF]
Mathematische Zeitschrift, 2004 We define de Rham cohomology groups for rigid spaces over non-archimedean fields of characteristic zero, based on the notion of dagger space. We establish some functorial properties and a finiteness result, and discuss the relation to the rigid cohomology as defined by P. Berthelot.
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On a higher dimensional worm domain and its geometric properties
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We construct new three‐dimensional variants of the classical Diederich–Fornæss worm domain. We show that they are smoothly bounded, pseudoconvex, and have nontrivial Nebenhülle. We also show that their Bergman projections do not preserve the Sobolev space for sufficiently large Sobolev indices.
Steven G. Krantz +2 more
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Orbifold Kodaira–Spencer maps and closed‐string mirror symmetry for punctured Riemann surfaces
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract When a Weinstein manifold admits an action of a finite abelian group, we propose its mirror construction following the equivariant 2D TQFT‐type construction, and obtain as a mirror the orbifolding of the mirror of the quotient with respect to the induced dual group action. As an application, we construct an orbifold Landau–Ginzburg mirror of a
Hansol Hong, Hyeongjun Jin, Sangwook Lee
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Manuscripta Mathematica, 1972 We announce the development of a theory of algebraic De Rham cohomology and homology for arbitrary schemes over a field of characteristic zero. Over the complex numbers, this theory is equivalent to singular cohomology. Applications include generalizations of theorems of Lefschetz and Barth on the cohomology of projective varieties.
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On a common refinement of Stark units and Gross–Stark units
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract The purpose of this paper is to formulate and study a common refinement of a version of Stark's conjecture and its p$p$‐adic analogue, in terms of Fontaine's p$p$‐adic period ring. We construct period‐ring‐valued functions under a generalization of Yoshida's conjecture on the transcendental parts of CM‐periods.
Tomokazu Kashio
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De Rham Cohomology and Hodge decomposition for Quantum Groups
, 2000 Let G=G(t,z) be one of the N^2-dimensional bicovariant first order differential calculi for the quantum groups GL_q(N), SL_q(N), O_q(N), or Sp_q(N), where q is a transcendental complex number and z is a regular parameter.
Heckenberger, I., Schueler, A.
core
The de Rham cohomology of the algebra of polynomial functions on a simplicial complex [PDF]
, 2023 Igor Sergeevich Baskov
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Effective de Rham cohomology — The general case [PDF]
Communications in Contemporary Mathematics, 2019 Grothendieck has proved that each class in the de Rham cohomology of a smooth complex affine variety can be represented by a differential form with polynomial coefficients. We prove a single exponential bound on the degrees of these polynomials for varieties of arbitrary dimension.
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