TY - JOUR
T1 - ON THE MONODROMY AND GALOIS GROUP OF CONICS LYING ON HEISENBERG INVARIANT QUARTIC K3 SURFACES
AU - Bouyer, Florian J S C
PY - 2019/10/7
Y1 - 2019/10/7
N2 - 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.
AB - 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.
U2 - 10.1017/S0017089519000399
DO - 10.1017/S0017089519000399
M3 - Article (Academic Journal)
SN - 0017-0895
VL - 62
SP - 640
EP - 660
JO - Glasgow Mathematical Journal
JF - Glasgow Mathematical Journal
IS - 3
ER -