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
HeBIS-PPN:519272943
Institutes:Informatik und Mathematik / Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Sammlungen:Universitätspublikationen
Licence (German):License LogoCreative Commons - Namensnennung 4.0