Can I read Cohomological Conditions on Endomorphisms of Projective Varieties on EtoBox?

Cohomological Conditions on Endomorphisms of Projective Varieties by Krieger, Holly; Reschke, Paul is a scholarly article available to read on EtoBox.

What is Cohomological Conditions on Endomorphisms of Projective Varieties about?

We characterize possible periodic subvarieties for surjective endomorphisms of complex abelian varieties in terms of the eigenvalues of the cohomological actions induced by the endomorphisms, extending previous work in this direction by Pink and Roessler. By applying our characterization to induced endomorphisms on Albanese varieties, we draw conclusions about the dynamics of surjective endomorphisms for a broad class of projective varieties. We also analyze several classes of surjective endomorphisms that are distinguished by properties of their cohomological actions.

Author

Krieger, Holly; Reschke, Paul

Published

2015

Language

EN