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- W3104537247 abstract "We compute all the top intersection numbers of divisors on the total space of the Poincaré bundle restricted to B × C (where B is an abelian variety, and C ⊂ B is any test curve). We use these computations to find the class of the universal theta divisor and m-theta divisor inside the universal corank 1 semiabelian variety — the boundary of the partial toroidal compactification of the moduli space of abelian varieties. We give two computational examples: we compute the boundary coefficient of the Andreotti–Mayer divisor (computed by Mumford but in a much harder and ad hoc way), and the analog of this for the universal m-theta divisor." @default.
- W3104537247 created "2020-11-23" @default.
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- W3104537247 date "2008-01-01" @default.
- W3104537247 modified "2023-10-05" @default.
- W3104537247 title "Some Intersections in the Poincaré Bundle and the Universal Theta Divisor on" @default.
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- W3104537247 doi "https://doi.org/10.1093/imrn/rnm128" @default.
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