TY - INPR A1 - Bud, Viorel Andrei T1 - Brill-Noether loci and strata of differentials T2 - arXiv N2 - 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. Y1 - 2024 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/82331 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-823312 UR - https://arxiv.org/abs/2402.11599v1 IS - 2402.11599 Version 1 PB - arXiv ER -