New examples of twisted Brill-Noether loci I
L. Brambila-Paz, P. E. Newstead
TL;DR
This paper constructs new examples of twisted Brill-Noether loci on algebraic curves of genus at least 2, revealing cases with negative expected dimension and identifying a new region in the Brill-Noether map.
Contribution
It introduces novel examples of twisted Brill-Noether loci, including cases with negative expected dimension, and uncovers a new region supporting non-empty standard loci.
Findings
Existence of twisted Brill-Noether loci with negative expected dimension
Identification of a new region in the Brill-Noether map
Support for non-empty standard Brill-Noether loci in the new region
Abstract
Our purpose in this paper is to construct new examples of twisted Brill-Noether loci on curves of genus . Many of these examples have negative expected dimension. We deduce also the existence of a new region in the Brill-Noether map, whose points support non-empty standard Brill-Noether loci.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Advanced Algebra and Geometry