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- W4317466021 abstract "In this paper and in its sequel [BKLV], we investigate the cone ${rm Pseff}_n(C_d)$ of pseudoeffective $n$-cycles in the symmetric product $C_d$ of a smooth curve $C$. In the present paper, we study the convex-geometric properties of the cone generated by the $n$-dimensional diagonal cycles, which we call the $n$-dimensional diagonal cone. We prove that the $n$-dimensional diagonal cone is a perfect face of ${rm Pseff}_n(C_d)$ along which ${rm Pseff}_n(C_d)$ is locally finitely generated." @default.
- W4317466021 created "2023-01-20" @default.
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- W4317466021 date "2017-11-21" @default.
- W4317466021 modified "2023-09-27" @default.
- W4317466021 title "Effective cycles on the symmetric product of a curve, I: the diagonal cone. (with an appendix by Ben Moonen)" @default.
- W4317466021 doi "https://doi.org/10.48550/arxiv.1711.07722" @default.
- W4317466021 hasPublicationYear "2017" @default.
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