Results 11 to 20 of about 344 (33)

New Fourfolds from F-Theory [PDF]

, 2015
In this paper, we apply Borcea-Voisin's construction and give new examples of fourfolds containing a del Pezzo surface of degree six, which admit an elliptic fibration on a smooth threefold.
Bini, Gilberto, Penegini, Matteo
core   +3 more sources

A Hypergeometric Version of the Modularity of Rigid Calabi-Yau Manifolds [PDF]

, 2018
We examine instances of modularity of (rigid) Calabi-Yau manifolds whose periods are expressed in terms of hypergeometric functions. The $p$-th coefficients $a(p)$ of the corresponding modular form can be often read off, at least conjecturally, from the ...
Zudilin, Wadim
core   +4 more sources

On solutions to Walcher's extended holomorphic anomaly equation [PDF]

, 2007
We give a generalization of Yamaguchi--Yau's result to Walcher's extended holomorphic anomaly equation.Comment: 19 pages, 3 figures, (v2) a reference ...
Konishi, Yukiko, Minabe, Satoshi
core   +2 more sources

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

A cone conjecture for log Calabi-Yau surfaces

Forum of Mathematics, Sigma
We consider log Calabi-Yau surfaces $(Y, D)$ with singular boundary. In each deformation type, there is a distinguished surface $(Y_e,D_e)$ such that the mixed Hodge structure on $H_2(Y \setminus D)$ is split.
Jennifer Li
doaj   +1 more source

A simple remark on a flat projective morphism with a Calabi-Yau fiber

, 2010
If a K3 surface is a fiber of a flat projective morphisms over a connected noetherian scheme over the complex number field, then any smooth connected fiber is also a K3 surface.
C. Schoen, G. Xu, I. Peeva, K. Oguiso, Keiji Oguiso, N. H. Lee, R. Hartshorne, W. P. Barth, W. P. Barth, Y. Kawamata   +9 more
core   +1 more source

Deformations of Calabi–Yau varieties with k-liminal singularities

Forum of Mathematics, Sigma
The goal of this paper is to describe certain nonlinear topological obstructions for the existence of first-order smoothings of mildly singular Calabi–Yau varieties of dimension at least $4$ .
Robert Friedman, Radu Laza
doaj   +1 more source

Generalized Borcea-Voisin Construction [PDF]

, 2011
C. Voisin and C. Borcea have constructed mirror pairs of families of Calabi-Yau threefolds by taking the quotient of the product of an elliptic curve with a K3 surface endowed with a non-symplectic involution.
A. Garbagnati, C. Borcea, C. Borcea, C. Vafa, J. Dillies, J.C. Rohde, Jimmy Dillies, K. Oguiso, L. Dixon, M. Abe, M. Artebani, M. Artebani, R. Donagi, R. Donagi, S. Cynk, S. Kondō, S. Taki, S.-S. Roan, V.V. Batyrev, W. Chen   +19 more
core   +4 more sources

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

Calabi–Yau attractor varieties and degeneration of Hodge structure

Open Physics
We present an application of asymptotic Hodge theory to the study of the attractor locus in flux compactifications. Our strategy is to investigate attractor points arising at the boundary of moduli spaces, where the limiting mixed Hodge structures encode
Rahmati Mohammad Reza
doaj   +1 more source