A note on the Picard number of singular Fano 3-folds
type: Item
instance of: scholarly article
title: A note on the Picard number of singular Fano 3-folds
zbMATH Open document ID: 1295.14037
author: Gloria Della Noce
published in: Geometriae Dedicata
publication date: 2014-05-30T00:00:00Z
full work available at URL: https://arxiv.org/abs/1301.2558
review text: The author proves the following result. Theorem. Let \(X\) be a singular factorial Fano \(3\)-fold with isolated canonical singularities. Then the Picard number of \(X\) is at most \(6\). The proof is based on a lemma which studies contractions of Fano \(3\)-folds with large Picard number.
reviewed by: Zhiyu Tian
Mathematics Subject Classification ID: 14J45
Mathematics Subject Classification ID: 14J17
Mathematics Subject Classification ID: 14J30
zbMATH DE Number: 6299157
zbMATH Keywords: Fano varieties
zbMATH Keywords: 3-fold
zbMATH Keywords: Picard number
zbMATH Keywords: singularities
MaRDI profile type: Publication
OpenAlex ID: W2026051394
arXiv ID: 1301.2558
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DOI: 10.1007/S10711-013-9887-5
description: scientific article