Titre :

Reflective modular forms and their applications

Auteur(s) :

Gritsenko, Valery A. [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Institut universitaire de France [IUF]

Titre de la revue :

Usp.Mat.Nauk

Pagination :

53-122

Date de publication :

2018

Discipline(s) HAL :

Physique [physics]/Physique mathématique [math-ph]
Physique [physics]/Physique des Hautes Energies - Théorie [hep-th]

Résumé en anglais : [en]

We prove that the existence of a strongly reflective modular form of a large weight implies that the Kodaira dimension of the corresponding modular variety is negative or, in some special case, it is equal to zero. Using ...
Lire la suite >We prove that the existence of a strongly reflective modular form of a large weight implies that the Kodaira dimension of the corresponding modular variety is negative or, in some special case, it is equal to zero. Using the Jacobi lifting we construct three towers of strongly reflective modular forms with the simplest possible divisor. In particular we obtain a Jacobi lifting construction of the Borcherds-Enriques modular form Phi_4 and Jacobi liftings of automorphic discriminants of the K\'ahler moduli of Del Pezzo surfaces constructed recently by Yoshikawa. We obtain also three modular varieties of dimension 4, 6 and 7 of Kodaira dimension 0.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL