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Determinant line bundle on moduli space of parabolic bundles
Parabolic bundle determinant bundle Quillen metric
2011/2/24
In [BR1], [BR2], a parabolic determinant line bundle on a moduli space of stable parabolic bundles was constructed, along with a Hermitian structure on it.The construction of the Hermitian structure w...
On the rational Picard group of the moduli space of curves
rational Picard group moduli space of curves
2011/2/25
We speculate about an algebro-geometric proof of Harer’s theorem on the rational Picard group of the moduli space of smooth complex curves. In particular, we refine the approach of Diaz and Edidin in-...
The universal theta divisor over the moduli space of curves
universal theta divisor moduli space of curves
2010/11/26
The universal theta divisor over the moduli space Ag of principally polarized abelian varieties of dimension g, is the divisor g inside the universal abelian variety Xg over Ag.