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

Shigeru Mukai
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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.

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BibTeXRIS

Shigeru Mukai. 1997-04-15. Non-Abelian Brill-Noether theory and Fano 3-folds. https://arxiv.org/abs/alg-geom/9704015

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