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

Part of: Surfaces and higher-dimensional varieties

Published online by Cambridge University Press:  07 October 2019

FLORIAN BOUYER Open the ORCID record for FLORIAN BOUYER [Opens in a new window]
FLORIAN BOUYER*
Affiliation:
School of Mathematics, University of Bristol, Bristol, United Kingdom e-mail: [email protected]
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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.

MSC classification

Primary: 14J28: $K3$ surfaces and Enriques surfaces
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 62 , Issue 3 , September 2020 , pp. 640 - 660
Copyright
© Glasgow Mathematical Journal Trust 2019

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