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Deformation theory of sandwiched singularities
Duke Mathematical Journal, 1998 A sandwiched singularity is a normal surface singularity which admits a birational map to \(({\mathbb C},0)\). The paper under review is concerned with deformations of sandwiched singularities. Namely, deformations of sandwiched singularities are described via deformations of decorated curves.
Jong, T. de, Straten, D. van
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Deformations of Pairs of Kleinian Singularities
International Mathematics Research Notices, 2023 Abstract Kleinian singularities, that is, the varieties corresponding to the algebras of invariants of Kleinian groups are of fundamental importance for Algebraic geometry, Representation theory, and Singularity theory. The filtered deformations of these algebras of invariants were classified by Brieskorn (the commutative case) and Losev
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, 2006 Deformation quantization on varieties with singularities offers perspectives that are not found on manifolds. Essential deformations are classified by the Harrison component of Hochschild cohomology, that vanishes on smooth manifolds and reflects ...
A.M. Garsia +16 more
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Del Pezzo Singularities and SUSY Breaking
Advances in High Energy Physics, 2011 An analytic construction of compact Calabi-Yau manifolds with del Pezzo singularities is found. We present complete intersection CY manifolds for all del Pezzo singularities and study the complex deformations of these singularities.
Dmitry Malyshev
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Yang–Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory
Nuclear Physics B, 2016 We give an AdS/CFT interpretation to homogeneous Yang–Baxter deformations of the AdS5×S5 superstring as noncommutative deformations of the dual gauge theory, going well beyond the canonical noncommutative case.
Stijn J. van Tongeren
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Recent Developments in Instantons in Noncommutative ℝ𝟒
Advances in Mathematical Physics, 2010 We review recent developments in noncommutative deformations of instantons in ℝ4. In the operator formalism, we study how to make noncommutative instantons by using the ADHM method, and we review the relation between topological charges and ...
Akifumi Sako
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N $$ \mathcal{N} $$ = 1 conformal dualities from unoriented chiral quivers
Journal of High Energy Physics, 2022 We study various orientifold projections of 4d N $$ \mathcal{N} $$ = 1 toric gauge theories, associated with CY singularities known as L a,b,a /ℤ2, with a + b even. We obtain superconformal chiral theories that have the same central charge, anomalies and
Antonio Amariti +5 more
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Real deformations and complex topology of plane curve singularities [PDF]
, 1999 This is the paper as published. The topology of a complex plane curve singularity with real branches is deduced from any real deformation having delta crossings.
A'Campo, Norbert
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Deformations of canonical singularities [PDF]
Journal of the American Mathematical Society, 1999 We prove that small deformations of canonical singularities are canonical.
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Vector perturbations of Kerr-AdS5 and the Painlevé VI transcendent
Journal of High Energy Physics, 2020 We analyze the Ansatz of separability for Maxwell equations in generically spinning, five-dimensional Kerr-AdS black holes. We find that the parameter μ introduced in [1] can be interpreted as apparent singularities of the resulting radial and angular ...
Julián Barragán Amado +2 more
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