Results 11 to 20 of about 356 (36)

Modularity of the Consani-Scholten quintic. With an appendix by José Burgos Gil and Ariel Pacetti

Documenta Mathematica, 2012
We prove that the Consani-Scholten quintic, a CalabiYau threefold over Q, is Hilbert modular. For this, we refine several techniques known from the context of modular forms.
L. Dieulefait, Ariel Pacetti, M. Schütt
semanticscholar   +1 more source

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

Analytic continuation of better-behaved GKZ systems and Fourier-Mukai transforms [PDF]

Épijournal de Géométrie Algébrique
We study the relationship between solutions to better-behaved GKZ hypergeometric systems near different large radius limit points, and their geometric counterparts given by the $K$-groups of the associated toric Deligne-Mumford stacks. We prove that the $
Zengrui Han
doaj   +1 more source

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

Balanced metrics and noncommutative Kaehler geometry [PDF]

, 2010
In this paper we show how Einstein metrics are naturally described using the quantization of the algebra of functions on a Kahler manifold M. In this setup one interprets M as the phase space itself, equipped with the Poisson brackets inherited from the ...
Lukic, Sergio
core   +4 more sources

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

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

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

Nef cones of fiber products and an application to the cone conjecture

Forum of Mathematics, Sigma
We 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, Hsueh-Yung Lin, Long Wang   +2 more
doaj   +1 more source