New examples of twisted Brill-Noether loci II
L. Brambila-Paz, P.E. Newstead
TL;DR
This paper constructs new examples of twisted Brill-Noether loci on higher genus curves, completes Butler's conjecture proof for specific coherent systems, and introduces new points on the BN map.
Contribution
It provides novel examples of twisted Brill-Noether loci and advances the understanding of their geometric properties, including proof of Butler's conjecture for certain cases.
Findings
Completed proof of Butler's conjecture for specific coherent systems.
Established birationality, smoothness, and irreducibility of certain loci.
Produced new points on the Brill-Noether map.
Abstract
Our purpose in this paper is to construct new examples of twisted Brill Noether loci on curves of genus g greater than 2 with negative expected dimension. We begin by completing the proof of Butler's conjecture for coherent systems of certain type establishing the birationality, smoothness, and irreducibility of the corresponding loci. We also produce new points on the BN map.
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