Euler Characteristics of Brill-Noether Loci on Prym Varieties
Minyoung Jeon
TL;DR
This paper develops formulas for the K-theory classes of Brill-Noether loci on Prym varieties and uses them to compute their holomorphic Euler characteristics, extending previous results in the field.
Contribution
It introduces new formulas for the K-theory classes of Brill-Noether loci in Prym varieties, generalizing earlier work by Concini and Pragacz.
Findings
Formulas for the connected K-theory class of Brill-Noether loci
Computed holomorphic Euler characteristics of these loci
Extended previous theoretical results in Prym varieties
Abstract
In this article we propose formulas for the connected K-theory class of the pointed Brill-Noether loci in Prym varieties, which extends the result by Concini and Pragacz. Applying the formulas, we compute the holomorphic Euler Characteristics of the loci.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Nonlinear Waves and Solitons · Algebraic Geometry and Number Theory