Exceptional collection of vector bundles on \(V_{22}\) Fano threefolds
type: Item
instance of: scholarly article
title: Exceptional collection of vector bundles on \(V_{22}\) Fano threefolds
zbMATH Open document ID: 0913.14010
published in: Moscow University Mathematics Bulletin
publication date: 1998-03-29T00:00:00Z
review text: The author constructs an exceptional set of vector bundles on three-dimensional Fano manifolds \(X\) of index 1 with \(\text{Pic }X =\mathbb{Z}\) of genus 12 (manifolds \(V_{22}\)). The existence of an exceptional set on a general variety \(X\) is shown and the component dimensions of the homomorphism algebra of this set are computed.
Mathematics Subject Classification ID: 14J60
Mathematics Subject Classification ID: 14J45
Mathematics Subject Classification ID: 14F05
Mathematics Subject Classification ID: 14J30
zbMATH DE Number: 1134941
zbMATH Keywords: Fano threefolds
zbMATH Keywords: exceptional vector bundles
author: Alexander Kuznetsov
MaRDI profile type: Publication
Recommended article: Bundles over Fano threefolds of type \(V_{22}\)
Recommended article: Vector bundles on Fano threefolds and \(K3\) surfaces
Recommended article: Vector bundles with no intermediate cohomology on Fano threefolds of type \(V_{22}\)
Recommended article: Exceptional collections on toric Fano threefolds and birational geometry
Recommended article: An exceptional collection of vector bundles on the threefold \(V_ 5\)
Recommended article: Q4866018
Recommended article: Vector bundles on ruled Fano 3-folds
Recommended article: Vector bundles on proper toric 3-folds and certain other schemes
Recommended article: Q4298328
Recommended article: Exceptional vector bundles on Grassmannians
description: scientific article; zbMATH DE number 1134941