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A short proof of the surjectivity of the period map on K3 manifolds by Liu, Hongyi is a scholarly article available to read on EtoBox.

What is A short proof of the surjectivity of the period map on K3 manifolds about?

In this note, we give a simple proof of the Todorov's surjectivity result on the period map of K3 surfaces in a differential geometric setting. Our proof makes use of collasping geometry of hyperk\"{a}hler 4-manifolds developped by Sun-Zhang, and does not rely on the solution to the Calabi conjecture.

Author

Liu, Hongyi

Published

2023

Language

EN