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arXiv · 1607.03215

Survey of finiteness results for hyperk\"ahler manifolds

Ljudmila Kamenova
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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.

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Ljudmila Kamenova. 2016-07-12. Survey of finiteness results for hyperk\"ahler manifolds. https://arxiv.org/abs/1607.03215

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