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- W3100434105 abstract "We study the Chow ring of the boundary of the partial compactification of the universal family of principally polarized abelian varieties (ppav). We describe the subring generated by divisor classes, and compute the class of the partial compactification of the universal zero section, which turns out to lie in this subring. Our formula extends the results for the zero section of the universal uncompactified family. The partial compactification of the universal family of ppav can be thought of as the first two boundary strata in any toroidal compactification of the moduli space of ppav. Our formula provides a first step in a program to understand the Chow groups of toroidal compactifications of the moduli of ppav, especially of the perfect cone compactification, by induction on genus. By restricting to the locus of Jacobians of curves, our results extend the results of Hain on the double ramification (two-branch-point) cycle." @default.
- W3100434105 created "2020-11-23" @default.
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- W3100434105 date "2014-04-01" @default.
- W3100434105 modified "2023-10-16" @default.
- W3100434105 title "The zero section of the universal semiabelian variety and the double ramification cycle" @default.
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- W3100434105 doi "https://doi.org/10.1215/00127094-26444575" @default.
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