Periodic subvarieties of a projective variety under the action of a maximal rank abelian group of positive entropy

Abstract

We determine positive-dimensional G-periodic proper subvarieties of an n-dimensional normal projective variety X under the action of an abelian group G of maximal rank n-1 and of positive entropy. The motivation of the paper is to understand the obstruction for X to be G-equivariant birational to the quotient variety of an abelian variety modulo the action of a finite group.

Asian Journal of Mathematics (to appear), Special issue on the occasion of Prof N. Mok's 60th birthday

References in corpus (1)

• Compact Kähler manifolds admitting large solvable groups of automorphisms

Cited by in corpus (1)

• The dimension of automorphism groups of algebraic varieties with pseudo-effective log canonical divisors