Ekaterina Amerik, “A remark on a question of Beauville about lagrangian fibrations”, Mosc. Math. J., 2012, Volume 12, Number 4,Pages <nobr>701

This article is cited in 8 papers

A remark on a question of Beauville about lagrangian fibrations

Ekaterina Amerik^ab

^a Université Paris-Sud, Campus d'Orsay, Bât. 425, 91405 Orsay, France
^b National Research University Higher School of Economics, Department of Mathematics, Vavilova 7, 117332, Moscow, Russia

Abstract: This note is a proof of the fact that a lagrangian torus on an irreducible hyperkähler fourfold is always a fiber of an almost holomorphic lagrangian fibration.

Key words and phrases: Holomorphic symplectic manifolds, lagrangian tori, fibrations.

MSC: 14J99, 32J27

Received: October 31, 2011; in revised form April 23, 2012

Language: English

DOI: 10.17323/1609-4514-2012-12-4-701-704