Research output: Contribution to journal › Article › peer-review
We study the rational Picard group of the projectivized moduli space PM¯g(n) of holomorphic n-differentials on complex genus g stable curves. We define n- 1 natural classes in this Picard group that we call Prym-Tyurin classes. We express these classes as linear combinations of boundary divisors and the divisor of n-differentials with a double zero. We give two different proofs of this result, using two alternative approaches: an analytic approach that involves the Bergman tau function and its vanishing divisor and an algebro-geometric approach that involves cohomological computations on the universal curve.
Original language | English |
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Pages (from-to) | 213-246 |
Number of pages | 34 |
Journal | Mathematische Annalen |
Volume | 375 |
Issue number | 1-2 |
DOIs | |
State | Published - 8 Oct 2019 |
ID: 98425834