Instanton bundles on Fano threefolds
Alexander Kuznetsov
TL;DR
This paper introduces instanton bundles on Fano threefolds of index 2, providing a monadic description and analyzing jumping lines, with detailed cases for degree 5 and 4 threefolds.
Contribution
It extends the concept of instanton bundles to Fano threefolds of index 2 and offers a new monadic framework and analysis of jumping lines.
Findings
Monadic description of instanton bundles on Fano threefolds
Analysis of jumping lines for these bundles
Detailed study of cases for degree 5 and 4 threefolds
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.
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