Constructing new Calabi-Yau 3-folds and their mirrors via conifold transitions
type: Item
instance of: scholarly article
title: Constructing new Calabi-Yau 3-folds and their mirrors via conifold transitions
zbMATH Open document ID: 1242.14037
published in: Advances in Theoretical and Mathematical Physics
publication date: 2011-11-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/0802.3376
full work available at URL: https://projecteuclid.org/euclid.atmp/1309526468
review text: This paper gives explicit constructions of new Calabi-Yau threefolds with small Picard number. For example, the authors get \(68\) new topological types with Picard number \(1\). Furthermore, the authors propose a construction of their mirror manifolds using smoothings of toric hypersurfaces with conifold singularities. They also show that the new examples are connected to known ones via conifold transitions.
reviewed by: Valentino Tosatti
Mathematics Subject Classification ID: 14J32
Mathematics Subject Classification ID: 32Q25
zbMATH DE Number: 5973493
zbMATH Keywords: Calabi-Yau manifold
zbMATH Keywords: mirror symmetry
zbMATH Keywords: conifold transition
author: Victor Batyrev
author: Maximilian Kreuzer
MaRDI profile type: Publication
arXiv ID: 0802.3376
OpenAlex ID: W2002892967
DOI: 10.4310/ATMP.2010.V14.N3.A3
description: scientific article