TY  - INPR
A1  - Bud, Andrei Viorel
A1  - Haburcak, Richard
T1  - Maximal Brill-Noether loci via degenerations and double covers
T2  - arXiv
N2  - Using limit linear series on chains of curves, we show that closures of certain Brill-Noether loci contain a product of pointed Brill-Noether loci of small codimension. As a result, we obtain new non-containments of Brill-Noether loci, in particular that dimensionally expected non-containments hold for expected maximal Brill-Noether loci. Using these degenerations, we also give a new proof that Brill-Noether loci with expected codimension −ρ≤⌈g/2⌉ have a component of the expected dimension. Additionally, we obtain new non-containments of Brill-Noether loci by considering the locus of the source curves of unramified double covers.
Y1  - 2024
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/85748
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-857480
UR  - https://arxiv.org/abs/2404.15066v1
IS  - 2404.15066v1
PB  - arXiv
ER  -