Automorphism group of Batyrev Calabi–Yau threefolds

Mohammad Farajzadeh Tehrani

doi:10.1007/s00229-014-0688-4

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Automorphism group of Batyrev Calabi–Yau threefolds

Journal article

Peer reviewed

Automorphism group of Batyrev Calabi–Yau threefolds

Mohammad Farajzadeh Tehrani

Manuscripta mathematica, Vol.146(1-2), pp.299-306

06/15/2014

DOI: 10.1007/s00229-014-0688-4

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Abstract

In this paper, we will prove that all Batyrev Calabi–Yau threefolds, arising from a crepant resolution of a generic hyperplane section of a toric Fano–Gorenstein fourfold, have finite automorphism group. Together with the Morrison conjecture, this suggests that all Batyrev Calabi–Yau threefolds should have a polyhedral Kähler (ample) cone.

Algebraic Geometry

Article

Calculus of Variations and Optimal Control; Optimization

general

Geometry

Lie Groups

Mathematics

Mathematics and Statistics

Number Theory

Topological Groups

Details

Title: Subtitle: Automorphism group of Batyrev Calabi–Yau threefolds
Creators: Mohammad Farajzadeh Tehrani - Stony Brook University
Resource Type: Journal article
Publication Details: Manuscripta mathematica, Vol.146(1-2), pp.299-306
Publisher: Springer Berlin Heidelberg
DOI: 10.1007/s00229-014-0688-4
ISSN: 0025-2611
eISSN: 1432-1785
Language: English
Date published: 06/15/2014
Academic Unit: Mathematics
Record Identifier: 9984241038202771

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