Discriminant of theta divisors and Quillen metrics. (English) Zbl 1033.58029
Author’s abstract: We show that analytic torsion of smooth theta divisors is represented by a Siegel modular form characterizing the Andreotti-Mayer locus.
Reviewer: Michael Farber (Zürich)
MSC:
| 58J52 | Determinants and determinant bundles, analytic torsion |
| 11F46 | Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms |
| 14K25 | Theta functions and abelian varieties |
| 32Q15 | Kähler manifolds |
