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- W4287899624 abstract "We prove that, for any $g geq 2$, the 'etale double cover $rho_g:mathcal{E}_{g} to widehat{mathcal{E}}_{g}$ from the moduli space $mathcal{E}_{g}$ of complex polarized genus $g$ Enriques surfaces to the moduli space $widehat{mathcal{E}}_{g}$ of numerically polarized genus $g$ Enriques surfaces is disconnected precisely over irreducible components of $widehat{mathcal{E}}_{g}$ parametrizing $2$-divisible classes, answering a question of Gritsenko and Hulek. We characterize all irreducible components of $mathcal{E}_{g}$ in terms of a new invariant of line bundles on Enriques surfaces that generalizes the $phi$-invariant introduced by Cossec. In particular, we get a one-to-one correspondence between the irreducible components of $mathcal{E}_g$ and $11$-tuples of integers satisfying particular conditions. This makes it possible, in principle, to list all irreducible components of $mathcal{E}_g$ for each $g geq 2$." @default.
- W4287899624 created "2022-07-26" @default.
- W4287899624 creator A5010000077 @default.
- W4287899624 date "2020-01-29" @default.
- W4287899624 modified "2023-09-25" @default.
- W4287899624 title "On moduli spaces of polarized Enriques surfaces" @default.
- W4287899624 doi "https://doi.org/10.48550/arxiv.2001.10769" @default.
- W4287899624 hasPublicationYear "2020" @default.
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