TAU FUNCTIONS, PRYM-TYURIN CLASSES AND LOCI OF DEGENERATE DIFFERENTIALS
Overview & Synopsis
We study the rational Picard group of the projectivized moduli space P M (n) g 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.
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Document Information
| Document Title | TAU FUNCTIONS, PRYM-TYURIN CLASSES AND LOCI OF DEGENERATE DIFFERENTIALS |
|---|---|
| Author / Organization | Adrien Sauvaget, Dmitri Korotkin, Peter Zograf, Dmitry Korotkin |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2019 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-232238 |
| Original Source Link | Visit Source Page on hal.science » |