Results 21 to 30 of about 356 (36)

Minimal log discrepancies of hypersurface mirrors

Forum of Mathematics, Sigma
For 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

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
core   +1 more source

Smoothing, scattering and a conjecture of Fukaya

Forum of Mathematics, Pi
In 2002, Fukaya [19] proposed a remarkable explanation of mirror symmetry detailing the Strominger–Yau–Zaslow (SYZ) conjecture [47] by introducing two correspondences: one between the theory of pseudo-holomorphic curves on a Calabi–Yau manifold ...
Kwokwai Chan, Naichung Conan Leung, Ziming Nikolas Ma   +2 more
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  

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, D Mumford, RWHT Hudson, S-S Roan   +3 more
core   +1 more source

Rigid realizations of modular forms in Calabi--Yau threefolds

, 2017
We construct examples of modular rigid Calabi--Yau threefolds, which give a realization of some new weight 4 cusp ...
Burek, Dominik
core   +1 more source

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
core   +1 more source

Smoothing nodal Calabi-Yau n-folds

, 2019
Let X be an n-dimensional Calabi-Yau with ordinary double points, where n is odd. Friedman showed that for n=3 the existence of a smoothing of X implies a specific type of relation between homology classes on a resolution of X. (The converse is also true,
Bott, Friedman, Griffiths, Kawamata, Kawamata, Ran, Richard Thomas, Schoen, Smith, Sönke Rollenske   +9 more
core   +1 more source

Ordinary Calabi-Yau-3 Crystals

, 2002
We show that crystals with the properties of crystalline cohomology of ordinary Calabi-Yau threefolds in characteristic p>0, exhibit a remarkable similarity with the well known structure on the cohomology of complex Calabi-Yau threefolds near a boundary ...
Stienstra, Jan
core   +2 more sources