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- W4288018869 abstract "In this paper we consider the question of when all Seshadri constants on a product of two isogenous elliptic curves $E_1times E_2$ without complex multiplication are integers. By studying elliptic curves on $E_1times E_2$ we translate this question into a purely numerical problem expressed by quadratic forms. By solving that problem, we show that all Seshadri constants on $E_1times E_2$ are integers if and only if the minimal degree of an isogeny $E_1to E_2$ equals 1 or 2. Furthermore, this method enables a characterization of irreducible principal polarizations on $E_1times E_2$." @default.
- W4288018869 created "2022-07-26" @default.
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- W4288018869 date "2019-11-25" @default.
- W4288018869 modified "2023-09-28" @default.
- W4288018869 title "Integrality of Seshadri constants and irreducibility of principal polarizations on products of two isogenous elliptic curves" @default.
- W4288018869 doi "https://doi.org/10.48550/arxiv.1911.10843" @default.
- W4288018869 hasPublicationYear "2019" @default.
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