Galois covers between surfaces
Annales de l'institut Fourier (1996)
- Volume: 46, Issue: 1, page 73-88
- ISSN: 0373-0956
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topXiao, Gang. "Galois covers between $K3$ surfaces." Annales de l'institut Fourier 46.1 (1996): 73-88. <http://eudml.org/doc/75176>.
@article{Xiao1996,
abstract = {We give a classification of finite group actions on a $K3$ surface giving rise to $K3$ quotients, from the point of view of their fixed points. It is shown that except two cases, each such group gives rise to a unique type of fixed point set.},
author = {Xiao, Gang},
journal = {Annales de l'institut Fourier},
keywords = {Galois covers; finite group actions on a surface; quotients; fixed point set},
language = {eng},
number = {1},
pages = {73-88},
publisher = {Association des Annales de l'Institut Fourier},
title = {Galois covers between $K3$ surfaces},
url = {http://eudml.org/doc/75176},
volume = {46},
year = {1996},
}
TY - JOUR
AU - Xiao, Gang
TI - Galois covers between $K3$ surfaces
JO - Annales de l'institut Fourier
PY - 1996
PB - Association des Annales de l'Institut Fourier
VL - 46
IS - 1
SP - 73
EP - 88
AB - We give a classification of finite group actions on a $K3$ surface giving rise to $K3$ quotients, from the point of view of their fixed points. It is shown that except two cases, each such group gives rise to a unique type of fixed point set.
LA - eng
KW - Galois covers; finite group actions on a surface; quotients; fixed point set
UR - http://eudml.org/doc/75176
ER -
References
top- [D] I. DOLGACHEV, Integral quadratic forms : applications to algebraic geometry, Seminaire Bourbaki, 611 (1983). Zbl0535.10018MR85f:14036
- [M] S. MUKAI, Finite groups of automorphisms of K3 surfaces and the Mathieu group, Invent. Math., 94 (1988), 183-221. Zbl0705.14045MR90b:32053
- [N] V.V. NIKULIN, Finite automorphism groups of Kähler K3 surfaces, Trans. Moscow Math. Soc., 38 (1980), 71-137. Zbl0454.14017
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