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- W4288797773 abstract "We consider two applications of the strata of differentials of the second kind (all residues equal to zero) with fixed multiplicities of zeros and poles: Positivity: In genus $g=0$ we show any associated divisorial projection to $overline{mathcal{M}}_{0,n}$ is $F$-nef and hence conjectured to be nef. We compute the class for all genus when the divisorial projection forgets only simple zeros and show in these cases the genus $g=0$ projections are indeed nef. Hurwitz spaces: We show the Hurwitz spaces of degree $d$, genus $g$ covers of $mathbb{P}^1$ with pure branching (one ramified point over the branch point) at all but possibly one branch point are irreducible if there are at least $3g+d-1$ simple branch points or $d-3$ simple branch points when $g=0$." @default.
- W4288797773 created "2022-07-30" @default.
- W4288797773 creator A5046721767 @default.
- W4288797773 date "2019-10-16" @default.
- W4288797773 modified "2023-09-24" @default.
- W4288797773 title "Strata of differentials of the second kind, positivity and irreducibility of certain Hurwitz spaces" @default.
- W4288797773 doi "https://doi.org/10.48550/arxiv.1910.07504" @default.
- W4288797773 hasPublicationYear "2019" @default.
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