Article ID Journal Published Year Pages File Type
5772112 Journal of Algebra 2017 14 Pages PDF
Abstract
We show that the existence of an Ulrich sheaf on a projective variety X⊆PN 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.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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