Non-Abelian Brill-Noether theory and Fano 3-folds
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
A Brill-Noether locus is a subscheme of the moduli of bundles E over a curve C defined by requiring E to have a given number of sections, or homomorphisms from another bundle. There are a number of different types, that can be treated by determinantal methods, with symmetry or skewsymmetry arising from Serre duality. They have many beautiful applications to curves, K3 surfaces and Fano 3-folds.
Cite
@article{arxiv.alg-geom/9704015,
title = {Non-Abelian Brill-Noether theory and Fano 3-folds},
author = {Shigeru Mukai},
journal= {arXiv preprint arXiv:alg-geom/9704015},
year = {2008}
}
Comments
From Sugaku 49:1 (1997), 1--24, translation by M. Reid to appear in the AMS series Sugaku Expositions, 1997