Survey of finiteness results for hyperk\"ahler manifolds
Algebraic Geometry
2018-10-30 v1
Abstract
This paper is a survey of finiteness results in hyperk\"ahler geometry. We review some classical theorems by Sullivan, Koll\'ar-Matsusaka, Huybrechts, as well as theorems in the recent literature by Charles, Sawon, and joint results of the author with Verbitsky. We also strengthen a finiteness theorem of the author. These are extended notes of the author's talk during the closing conference of the Simons Semester in the Banach Center in B\c{e}dlewo, Poland.
Keywords
Cite
@article{arxiv.1607.03215,
title = {Survey of finiteness results for hyperk\"ahler manifolds},
author = {Ljudmila Kamenova},
journal= {arXiv preprint arXiv:1607.03215},
year = {2018}
}
Comments
12 pages. arXiv admin note: text overlap with arXiv:1509.01897