Unirational moduli spaces of some elliptic K3 surfaces

authored by

Mauro Fortuna, Michael Hoff, Giacomo Mezzedimi

Abstract

We show that the moduli space of U⊕⟨−2k⟩-polarized K3 surfaces is unirational for k≤50 and k∉{11,35,42,48}, and for other several values of k up to k=97. Our proof is based on a systematic study of the projective models of elliptic K3 surfaces in Pn for 3≤n≤5 containing either the union of two rational curves or the union of a rational and an elliptic curve intersecting at one point.

Organisation(s)

Institute of Algebraic Geometry

External Organisation(s)

Saarland University
University of Bonn

Type

Article

Journal

Manuscripta Mathematica

Volume

173

Pages

405-423

No. of pages

19

ISSN

0025-2611

Publication date

01.2024

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

General Mathematics

Electronic version(s)

https://doi.org/10.48550/arXiv.2008.12077 (Access: Open)
https://doi.org/10.1007/s00229-022-01455-2 (Access: Closed)