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Cent. Eur. J. Math., 2012, Volume 10, Issue 4, Pages 1198–1231 (Mi cejm6)  

Instanton bundles on Fano threefolds

A. Kuznetsovabc

a The Poncelet Laboratory, Independent University of Moscow, 11 Bolshoy Vlasyevskiy Pereulok, Moscow 119002, Russia
b Algebra Section, Steklov Mathematical Institute, 8 Gubkin Str., Moscow 119991, Russia
c Laboratory of Algebraic Geometry, State University Higher School of Economics, 7 Vavilova Str., Moscow 117312, Russia

Abstract: We introduce the notion of an instanton bundle on a Fano threefold of index 2. For such bundles we give an analogue of a monadic description and discuss the curve of jumping lines. The cases of threefolds of degree 5 and 4 are considered in a greater detail.

Funding Agency Grant Number
Russian Foundation for Basic Research 10-01-93110
10-01-93113
11-01-00393
11-01-00568
11-01-92613-KO-a
Ministry of Education and Science of the Russian Federation NSh-5139.2012.1
11.G34.31.0023
Simons Foundation
The author was partially supported by RFFI grants 10-01-93110, 10-01-93113, 11-01-00393, 11-01-00568, 11-01-92613-KO-a, NSh-5139.2012.1, the grant of the Simons foundation, and by AG Laboratory SU-HSE, RF government grant, ag.11.G34.31.0023.


DOI: https://doi.org/10.2478/s11533-012-0055-1


Bibliographic databases:

Document Type: Article
MSC: 14J60, 14F05
Received: 07.01.2012
Accepted:15.02.2012
Language: English

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