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- W3011452311 abstract "Abstract We discuss the Borisov–Nuer conjecture in connection with the canonical maps from the moduli spaces of polarized Enriques surfaces with fixed to the moduli space of polarized K 3 surfaces of genus g with , and we exhibit a naturally defined locus . One direct consequence of the Borisov–Nuer conjecture is that would be contained in a particular Noether–Lefschetz divisor in , which we call the Borisov–Nuer divisor and we denote by . In this short note, we prove that is non‐empty whenever is divisible by 4. To this end, we construct polarized Enriques surfaces , with divisible by 4, which verify the conjecture. In particular, when we consider the moduli space of (numerically) polarized Enriques surfaces which contains such , the conjecture also holds for any other polarized Enriques surface contained in the same moduli." @default.
- W3011452311 created "2020-03-23" @default.
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- W3011452311 date "2020-03-16" @default.
- W3011452311 modified "2023-09-27" @default.
- W3011452311 title "On the Borisov–Nuer conjecture and the image of the Enriques‐to‐K3 map" @default.
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- W3011452311 doi "https://doi.org/10.1002/mana.201900226" @default.
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