Moduli of lattice polarized K3 surfaces via relative canonical resolutions

Bopp, Christian; Hoff, Michael

doi:10.1016/j.jpaa.2021.106796

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

Publication Types

Select...

Other1

Article1

Relationship

Self Cite1

Independent1

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Moreover, it would be of great interest to find connections between the spaces M 2k and other known geometric objects. One such connection was found in [BH17], where the authors showed that the moduli space M 56 is birational to a P 1 -bundle over the universal Brill-Noether variety W 1 9,6 parametrizing curves of genus 9 together with a pencil of degree 6. Their strategy was to use the relative canonical resolution of these curves on rational normal quartic scrolls.…”

Section: Introductionmentioning

confidence: 99%

Unirational moduli spaces of some elliptic K3 surfaces

Fortuna¹,

Mezzedimi²

2020

Preprint

Self Cite

View full text Add to dashboard Cite

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 P n 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.

show abstract

Section: Introductionmentioning

confidence: 99%