Results 21 to 30 of about 344 (33)
Nef cones of fiber products and an application to the cone conjecture
Forum of Mathematics, SigmaWe prove a decomposition theorem for the nef cone of smooth fiber products over curves, subject to the necessary condition that their Néron–Severi space decomposes.
Cécile Gachet +2 more
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Conifold Transitions for Complete Intersection Calabi-Yau 3-folds in Products of Projective Spaces
, 2012 We prove that a generic complete intersection Calabi-Yau 3-fold defined by sections of ample line bundles on a product of projective spaces admits a conifold transition to a connected sum of S^{3} \times S^{3}.
Xu, Jinxing
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Minimal log discrepancies of hypersurface mirrors
Forum of Mathematics, SigmaFor certain quasismooth Calabi–Yau hypersurfaces in weighted projective space, the Berglund-Hübsch-Krawitz (BHK) mirror symmetry construction gives a concrete description of the mirror.
Louis Esser
doaj +1 more source
On the birationality of the adjunction mapping of projective varieties [PDF]
, 2011 Let $X$ be a smooth projective $n$-fold such that $q(X)=0$ and $L$ a globally generated, big line bundle on $X$ such that $h^0(K_X+(n-2)L) >0$. We give necessary and sufficient conditions for the adjoint systems $|K_X+kL|$ to be birational for $k \geq n ...
Knutsen, Andreas Leopold
core
About the hyperbolicity of complete intersections [PDF]
, 2013 This note is an extended version of a thirty minutes talk given at the "XIX Congresso dell'Unione Matematica Italiana", held in Bologna from September 12th to September 17th, 2011.
Diverio, Simone
core +2 more sources
Duality Spectral Sequences for Weierstrass Fibrations and Applications
, 2017 We study duality spectral sequences for Weierstrass fibrations. Using these spectral sequences, we show that on a K-trivial Weierstrass threefold over a K-numerically trivial surface, any line bundle of nonzero fiber degree is taken by a Fourier-Mukai ...
Lo, Jason, Zhang, Ziyu
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Toric complete intersections and weighted projective space
, 2001 It has been shown by Batyrev and Borisov that nef partitions of reflexive polyhedra can be used to construct mirror pairs of complete intersection Calabi--Yau manifolds in toric ambient spaces.
Candelas +8 more
core +3 more sources
Quotients of E^n by A_{n+1} and Calabi-Yau manifolds
, 2005 We give a simple construction, starting with any elliptic curve E, of an n-dimensional Calabi-Yau variety of Kummer type (for any n>1), by considering the quotient Y of the n-fold self-product of E by a natural action of the alternating group A_{n+1} (in
CW Curtis +3 more
core +1 more source
A framework for tropical mirror symmetry [PDF]
, 2011 Applying tropical geometry a framework for mirror symmetry, including a mirror construction for Calabi-Yau varieties, was proposed by the author. We discuss the conceptual foundations of this construction based on a natural mirror map identifying ...
Boehm, Janko
core
Deformation Finiteness for Real Hyperkahler Manifolds
, 2006 We show that the number of equivariant deformation classes of real structures in a given deformation class of compact hyperkahler manifolds is finite.Comment: 6 ...
Degtyarev, Alex +2 more
core +1 more source