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- W2792658434 abstract "We describe applications of Koszul cohomology to the Brill-Noether theory of rank 2 vector bundles. Among other things, we show that in every genus g>10, there exist curves invalidating Mercat's Conjecture for rank 2 bundles. On the other hand, we prove that Mercat's Conjecture holds for general curves of bounded genus, and its failure locus is a Koszul divisor in the moduli space of curves. We also formulate a conjecture concerning the minimality of Betti diagrams of suitably general curves, and point out its consequences to rank 2 Brill-Noether theory." @default.
- W2792658434 created "2018-03-29" @default.
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- W2792658434 date "2010-10-19" @default.
- W2792658434 modified "2023-09-27" @default.
- W2792658434 title "The minimal resolution conjecture and rank two Brill-Noether theory" @default.
- W2792658434 hasPublicationYear "2010" @default.
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