Results 1 to 10 of about 36,311 (322)
Deformations of conically singular Cayley submanifolds [PDF]
The Journal of Geometric Analysis, 2017 In this article we study the deformation theory of conically singular Cayley submanifolds. In particular, we prove a result on the expected dimension of a moduli space of Cayley deformations of a conically singular Cayley submanifold. Moreover, when the Cayley submanifold is a two-dimensional complex submanifold of a Calabi--Yau four-fold we show by ...
Kim Moore
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Deformations of Toric Singularities and Fractional Branes [PDF]
Journal of High Energy Physics, 2006 Fractional branes added to a large stack of D3-branes at the singularity of a Calabi-Yau cone modify the quiver gauge theory breaking conformal invariance and leading to different kinds of IR behaviors.
Butti, Agostino
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Deformations of log canonical singularities [PDF]
, 2018 The results of this paper are now contained in a new, substantially expanded version entitled "Deformations of log canonical and F-pure singularities"
Janós Kollár, Sándor J. Kovács
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On infinitesimal deformations of singular varieties II [PDF]
The deformation theory of singular varieties plays a central role in understanding the geometry and moduli of algebraic varieties. For a variety $X$ with possibly singular points, the space of first-order infinitesimal deformations is given by \( T^1_X = \operatorname{Ext}^1_{\mathcal{O}_X}(Ω_X, \mathcal{O}_X), \) which measures the Zariski tangent ...
Mounir Nisse
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Automorphism Groups of Deformations and Quantizations of Kleinian Singularities. [PDF]
Transform GroupsCastellan S.
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Deformations of Log Terminal and Semi Log Canonical Singularities
Forum of Mathematics, Sigma, 2023 In this paper, we prove that klt singularities are invariant under deformations if the generic fiber is $\mathbb {Q}$ -Gorenstein. We also obtain a similar result for slc singularities. These are generalizations of results of Esnault-Viehweg [Math.
Kenta Sato, Shunsuke Takagi
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Deformation of singular foliations, 1: Local deformation cohomology [PDF]
Comptes Rendus. Mathématique, 2020 In this paper we introduce the notion of deformation cohomology for singular foliations and related objects (namely integrable differential forms and Nambu structures), and study it in the local case, i.e., in the neighborhood of a point.
Monnier, Philippe, Zung, Nguyen Tien
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Journal of High Energy Physics, 2022 Compactification of M-theory and of IIB string theory on threefold canonical singularities gives rise to superconformal field theories (SCFTs) in 5d and 4d, respectively.
Cyril Closset +2 more
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The Poincaré Index on Singular Varieties
J, 2022 In this paper, we discuss a few simple methods for computing the local topological index and its various analogs for vector fields and differential forms given on complex varieties with singularities of different types.
Alexander G. Aleksandrov
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Deformation of singular lagrangian subvarieties [PDF]
Mathematische Annalen, 2003 We investigate deformations of lagrangian manifolds with singularities. We introduce a complex similar to the de Rham-complex whose cohomology calculates deformation spaces. Examples of singular lagrangian varieties are presented and deformations are calculated explicitly.
Sevenheck, Christian, van Straten, Duco
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