ON THE MONODROMY AND GALOIS GROUP OF CONICS LYING ON HEISENBERG INVARIANT QUARTIC K3 SURFACES

Research output: Contribution to journalArticle (Academic Journal)

Abstract



In [5], Eklund showed that a general (ℤ/2ℤ)4 -invariant quartic K3 surface contains at least 320 conics. In this paper, we analyse the field of definition of those conics as well as their Monodromy group. As a result, we prove that the moduli space of (ℤ/2ℤ)4-invariant quartic K3 surface with a certain marked conic has 10 irreducible components.
Original languageEnglish
Pages (from-to)640-660
JournalGlasgow Mathematical Journal
Volume62
Issue number3
DOIs
Publication statusPublished - 7 Oct 2019

Fingerprint Dive into the research topics of 'ON THE MONODROMY AND GALOIS GROUP OF CONICS LYING ON HEISENBERG INVARIANT QUARTIC K3 SURFACES'. Together they form a unique fingerprint.

Cite this