1. EXPECTED DIMENSIONS OF HIGHER-RANK BRILL-NOETHER LOCI.
- Author
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NAIZHEN ZHANG
- Subjects
- *
NOETHER'S theorem , *LOCUS (Mathematics) , *MATHEMATICS , *MATHEMATICS theorems , *CANONICAL transformations , *LOGICAL prediction - Abstract
In this paper, we prove a new expected dimension formula for certain rank two Brill-Noether loci with fixed special determinant. This answers a question asked by Osserman and also leads to a new and much simpler proof of a theorem in his 2015 work. Our result generalizes the well-known result by Bertram, Feinberg and independently Mukai on expected dimension of rank two Brill-Noether loci with canonical determinant and partially verifies a conjecture (in rank two) of Grzegorczyk and Newstead on coherent systems. [ABSTRACT FROM AUTHOR]
- Published
- 2017
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