Some aspects of explicit birational geometry inspired by complex dynamics
Algebraic Geometry
2014-04-18 v2 Dynamical Systems
Abstract
Our aim is to illustrate how one can effectively apply the basic ideas and notions of topological entropy and dynamical degrees, together with recent progress of minimal model theory in higher dimension, for an explicit study of birational or biregular selfmaps of projective or compact K\"ahler manifolds, through concrete examples.
Cite
@article{arxiv.1404.2982,
title = {Some aspects of explicit birational geometry inspired by complex dynamics},
author = {Keiji Oguiso},
journal= {arXiv preprint arXiv:1404.2982},
year = {2014}
}
Comments
A survey article for ICM2014 proceedings (Invited talk at Section 4). Format, typos, references, ambiguities are corrected