Unirational moduli spaces of some elliptic K3 surfaces

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Mauro Fortuna
  • Michael Hoff
  • Giacomo Mezzedimi

Research Organisations

External Research Organisations

  • Saarland University
  • University of Bonn
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Details

Original languageEnglish
Pages (from-to)405-423
Number of pages19
JournalManuscripta Mathematica
Volume173
Issue number1-2
Early online date5 Jan 2023
Publication statusPublished - Jan 2024

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.

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Cite this

Unirational moduli spaces of some elliptic K3 surfaces. / Fortuna, Mauro; Hoff, Michael; Mezzedimi, Giacomo.
In: Manuscripta Mathematica, Vol. 173, No. 1-2, 01.2024, p. 405-423.

Research output: Contribution to journal › Article › Research › peer review

Fortuna M, Hoff M, Mezzedimi G. Unirational moduli spaces of some elliptic K3 surfaces. Manuscripta Mathematica. 2024 Jan;173(1-2):405-423. Epub 2023 Jan 5. doi: 10.48550/arXiv.2008.12077, 10.1007/s00229-022-01455-2
Fortuna, Mauro ; Hoff, Michael ; Mezzedimi, Giacomo. / Unirational moduli spaces of some elliptic K3 surfaces. In: Manuscripta Mathematica. 2024 ; Vol. 173, No. 1-2. pp. 405-423.
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