On an automorphism of $Hilb^{[2]}$ of certain K3 surfaces
Ekaterina Amerik
TL;DR
This paper explores the density of rational points on the second punctual Hilbert scheme of specific K3 surfaces, expanding on previous remarks by O'Grady and Oguiso to provide detailed insights.
Contribution
It provides a detailed example of potential density of rational points on Hilbert schemes of K3 surfaces, building upon and amplifying prior theoretical remarks.
Findings
Potential density of rational points demonstrated
Detailed example on Hilbert schemes of K3 surfaces
Extends previous theoretical remarks
Abstract
An example of potential density of rational points on the second punctual Hilbert scheme of certain K3 surfaces is treated in detail. This is an amplification of some remarks made by O'Grady and Oguiso.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Coding theory and cryptography · Advanced Algebra and Geometry