TY - JOUR A1 - Bud, Viorel Andrei T1 - Irreducibility of a universal Prym–Brill–Noether locus T2 - International Mathematics Research Notices N2 - 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. Y1 - 2022 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/82549 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-825496 SN - 1073-7928 SN - 1687-0247 VL - 2023 IS - 12 SP - 10174 EP - 10180 PB - Oxford University Press CY - Oxford ER -