Brill-Noether loci and strata of differentials
- We prove that the projectivized strata of differentials are not contained in pointed Brill-Noether divisors, with only a few exceptions. For a generic element in a stratum of differentials, we show that many of the associated pointed Brill-Noether loci are of expected dimension. We use our results to study the Auel-Haburcak Conjecture: We obtain new non-containments between maximal Brill-Noether loci in Mg. Our results regarding quadratic differentials imply that the quadratic strata in genus 6 are uniruled.
| Author: | Viorel Andrei BudORCiDGND |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-840737 |
| URL: | https://arxiv.org/abs/2402.11599v2 |
| DOI: | https://doi.org/10.48550/arXiv.2402.11599 |
| ArXiv Id: | http://arxiv.org/abs/2402.11599v2 |
| Parent Title (English): | arXiv |
| Publisher: | arXiv |
| Document Type: | Preprint |
| Language: | English |
| Date of Publication (online): | 2024/02/24 |
| Date of first Publication: | 2024/02/24 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Release Date: | 2024/07/11 |
| Issue: | 2402.11599v2 |
| Edition: | Version 2 |
| Page Number: | 18 |
| Institutes: | Informatik und Mathematik / Mathematik |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Sammlungen: | Universitätspublikationen |
| Licence (German): |  Creative Commons - CC BY - Namensnennung 4.0 International |
