Non-Abelian Brill-Noether theory and Fano 3-folds

Details Non-Abelian Brill-Noether theory and Fano 3-folds Non-Abelian Brill-Noether theory and Fano 3-folds

1997-04-15

arxiv.org/abs/alg-geom/9704015v1

Mathematics

Algebraic Geometry

From Sugaku 49:1 (1997), 1--24, translation by M. Reid to appear in the AMS series Sugaku Expositions, 1997

Scientific paper

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.

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