Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772112 | Journal of Algebra | 2017 | 14 Pages |
Abstract
We show that the existence of an Ulrich sheaf on a projective variety XâPN is equivalent to the solution of a (possibly) higher-rank Brill-Noether problem for a curve on X that is rarely general in moduli. In addition, we exhibit a large family of curves for which this Brill-Noether problem admits a solution, and we show that existence of an Ulrich sheaf for a finite morphism of smooth projective varieties of any dimension implies sharp numerical constraints involving the degree of the map and the ramification divisor.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Rajesh S. Kulkarni, Yusuf Mustopa, Ian Shipman,