Irreducibility of a universal Prym–Brill–Noether locus
- For genus g=2i≥4 and the length g−1 partition μ=(4,2,…,2,−2,…,−2) of 0, we compute the first coefficients of the class of D¯¯¯¯(μ) in PicQ(R¯¯¯¯g), where D(μ) is the divisor consisting of pairs [C,η]∈Rg with η≅OC(2x1+x2+⋯+xi−1−xi−⋯−x2i−1) for some points x1,…,x2i−1 on C. We further provide several enumerative results that will be used for this computation.
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| Author: | Viorel Andrei BudORCiDGND |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-825496 |
| DOI: | https://doi.org/10.1093/imrn/rnac135 |
| ISSN: | 1073-7928 |
| ISSN: | 1687-0247 |
| ArXiv Id: | http://arxiv.org/abs/2111.07644 |
| Parent Title (English): | International Mathematics Research Notices |
| Publisher: | Oxford University Press |
| Place of publication: | Oxford |
| Document Type: | Article |
| Language: | English |
| Date of Publication (online): | 2022/05/30 |
| Date of first Publication: | 2022/05/30 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Release Date: | 2024/02/26 |
| Volume: | 2023 |
| Issue: | 12 |
| Page Number: | 7 |
| First Page: | 10174 |
| Last Page: | 10180 |
| Institutes: | Informatik und Mathematik / Mathematik |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Sammlungen: | Universitätspublikationen |
| Licence (German): |  Creative Commons - Namensnennung 4.0 |
