Results 1 to 10 of about 356 (36)
On genus one mirror symmetry in higher dimensions and the BCOV conjectures
Forum of Mathematics, Pi, 2022 The mathematical physicists Bershadsky–Cecotti–Ooguri–Vafa (BCOV) proposed, in a seminal article from 1994, a conjecture extending genus zero mirror symmetry to higher genera.
Dennis Eriksson +2 more
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The most efficient indifferentiable hashing to elliptic curves of j-invariant 1728
Journal of Mathematical Cryptology, 2022 This article makes an important contribution to solving the long-standing problem of whether all elliptic curves can be equipped with a hash function (indifferentiable from a random oracle) whose running time amounts to one exponentiation in the basic ...
Koshelev Dmitrii
doaj +1 more source
Smoothing toroidal crossing spaces
Forum of Mathematics, Pi, 2021 We prove the existence of a smoothing for a toroidal crossing space under mild assumptions. By linking log structures with infinitesimal deformations, the result receives a very compact form for normal crossing spaces.
Simon Felten, Matej Filip, Helge Ruddat
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Polynomial Bridgeland stability conditions and the large volume limit [PDF]
, 2007 We introduce the notion of a polynomial stability condition, generalizing Bridgeland stability conditions on triangulated categories. We construct and study a family of polynomial stability conditions for any normal projective variety.
Arend Bayer
semanticscholar +1 more source
Derived category automorphisms from mirror symmetry [PDF]
, 2001 Inspired by the homological mirror symmetry conjecture of Kontsevich [30], we construct new classes of automorphisms of the bounded derived category of coherent sheaves on a smooth quasi– projective variety. MSC (2000): 18E30; 14J32.
R. P. Horja
semanticscholar +1 more source
, 2000 We describe a family of genus one fibered Calabi-Yau threefolds with fundamental group Z/2. On each Calabi-Yau Z in the family we exhibit a positive dimensional family of Mumford stable bundles whose symmetry group is the Standard Model group SU(3) × SU ...
R. Donagi +3 more
semanticscholar +1 more source
Conic bundles that are not birational to numerical Calabi--Yau pairs [PDF]
Épijournal de Géométrie Algébrique, 2017 Let $X$ be a general conic bundle over the projective plane with branch curve of degree at least 19. We prove that there is no normal projective variety $Y$ that is birational to $X$ and such that some multiple of its anticanonical divisor is effective ...
János Kollár
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Algebraic topology of Calabi–Yau threefolds in toric varieties [PDF]
, 2006 We compute the integral homology (including torsion), the topological K‐theory, and the Hodge structure on cohomology of Calabi‐Yau threefold hypersurfaces and semiample complete intersections in toric varieties associated with maximal projective ...
C. Doran, J. Morgan
semanticscholar +1 more source
Tropically constructed Lagrangians in mirror quintic threefolds
Forum of Mathematics, Sigma, 2020 We use tropical curves and toric degeneration techniques to construct closed embedded Lagrangian rational homology spheres in a lot of Calabi-Yau threefolds. The homology spheres are mirror dual to the holomorphic curves contributing to the Gromov-Witten
Cheuk Yu Mak, Helge Ruddat
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On the rigidity of stable maps to Calabi-Yau threefolds [PDF]
, 2006 If X is a nonsingular curve in a Calabi--Yau threefold Y whose normal bundle N_{X/Y} is a generic semistable bundle, are the local Gromov-Witten invariants of X well defined? For X of genus two or higher, the issues are subtle.
Bryan, Jim, Pandharipande, Rahul
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