Geodesic
ON THE MONODROMY AND GALOIS GROUP OF CONICS LYING ON HEISENBERG INVARIANT QUARTIC K3 SURFACES
Glasgow mathematical journal, Tome 62 (2020) no. 3, pp. 640-660

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DOI

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. 
BOUYER, FLORIAN. ON THE MONODROMY AND GALOIS GROUP OF CONICS LYING ON HEISENBERG INVARIANT QUARTIC K3 SURFACES. Glasgow mathematical journal, Tome 62 (2020) no. 3, pp. 640-660. doi: 10.1017/S0017089519000399
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     author = {BOUYER, FLORIAN},
     title = {ON {THE} {MONODROMY} {AND} {GALOIS} {GROUP} {OF} {CONICS} {LYING} {ON} {HEISENBERG} {INVARIANT} {QUARTIC} {K3} {SURFACES}},
     journal = {Glasgow mathematical journal},
     pages = {640--660},
     year = {2020},
     volume = {62},
     number = {3},
     doi = {10.1017/S0017089519000399},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089519000399/}
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