Groups acting freely on Calabi-Yau threefolds embedded in products of del Pezzo surfaces

Gilberto Bini; Filippo F. Favale; Gilberto Bini

Groups acting freely on Calabi-Yau threefolds embedded in products of del Pezzo surfaces

Gilberto Bini, Filippo F. Favale, Gilberto Bini

Matematica e Informatica

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

In this paper, we investigate quotients of Calabi-Yau manifolds Y embedded in Fano varieties X, which are products of two del Pezzo surfaces - with respect to groups G that act freely on Y. In particular, we revisit some known examples and we obtain some new Calabi-Yau varieties with small Hodge numbers. The groups G are subgroups of the automorphism groups of X, which is described in terms of the automorphism group of the two del Pezzo surfaces.

Original language	English
Pages (from-to)	887-934
Number of pages	48
Journal	Advances in Theoretical and Mathematical Physics
Volume	16
Publication status	Published - 2012

All Science Journal Classification (ASJC) codes

Mathematics(all)
Physics and Astronomy(all)

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title = "Groups acting freely on Calabi-Yau threefolds embedded in products of del Pezzo surfaces",

abstract = "In this paper, we investigate quotients of Calabi-Yau manifolds Y embedded in Fano varieties X, which are products of two del Pezzo surfaces - with respect to groups G that act freely on Y. In particular, we revisit some known examples and we obtain some new Calabi-Yau varieties with small Hodge numbers. The groups G are subgroups of the automorphism groups of X, which is described in terms of the automorphism group of the two del Pezzo surfaces.",

author = "Gilberto Bini and Favale, {Filippo F.} and Gilberto Bini",

year = "2012",

language = "English",

volume = "16",

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journal = "Advances in Theoretical and Mathematical Physics",

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publisher = "International Press of Boston, Inc.",

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T1 - Groups acting freely on Calabi-Yau threefolds embedded in products of del Pezzo surfaces

AU - Bini, Gilberto

AU - Favale, Filippo F.

AU - Bini, Gilberto

PY - 2012

Y1 - 2012

N2 - In this paper, we investigate quotients of Calabi-Yau manifolds Y embedded in Fano varieties X, which are products of two del Pezzo surfaces - with respect to groups G that act freely on Y. In particular, we revisit some known examples and we obtain some new Calabi-Yau varieties with small Hodge numbers. The groups G are subgroups of the automorphism groups of X, which is described in terms of the automorphism group of the two del Pezzo surfaces.

AB - In this paper, we investigate quotients of Calabi-Yau manifolds Y embedded in Fano varieties X, which are products of two del Pezzo surfaces - with respect to groups G that act freely on Y. In particular, we revisit some known examples and we obtain some new Calabi-Yau varieties with small Hodge numbers. The groups G are subgroups of the automorphism groups of X, which is described in terms of the automorphism group of the two del Pezzo surfaces.

UR - http://hdl.handle.net/10447/398158

M3 - Article

VL - 16

SP - 887

EP - 934

JO - Advances in Theoretical and Mathematical Physics

JF - Advances in Theoretical and Mathematical Physics

SN - 1095-0761

ER -