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16 - The automorphism groups of Enriques surfaces covered by symmetric quartic surfaces

Published online by Cambridge University Press:  05 January 2015

By
S. Mukai  and
H. Ohashi
Edited by
Christopher D. Hacon ,
Mircea Mustaţă  and
Mihnea Popa
S. Mukai
Affiliation:
Research Institute for Mathematical Sciences, Kyoto University
H. Ohashi
Affiliation:
Tokyo University of Science
Christopher D. Hacon
Affiliation:
University of Utah
Mircea Mustaţă
Affiliation:
University of Michigan, Ann Arbor
Mihnea Popa
Affiliation:
University of Illinois, Chicago
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Recent Advances in Algebraic Geometry
A Volume in Honor of Rob Lazarsfeld’s 60th Birthday
 , pp. 307 - 320
Publisher: Cambridge University Press
Print publication year: 2015

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References

[1] Barth, W. and Peters, C.Automorphisms of Enriques surfaces. Invent. Math. 73 (1983)383–411.Google Scholar
[2] Borel, A. and Serre, J. P.Corners and arithmetic groups. Comment. Math. Helv. 48 (1973)436–491.Google Scholar
[3] Dolgachev, I.On automorphisms of Enriques surfaces. Invent. Math. 76 (1984) 163–177.Google Scholar
[4] Dolgachev, I.Numerical trivial automorphisms of Enriques surfaces in arbitrary characteristic. In Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds. Fields Institute Communication No. 67, 2013, pp. 267–283.Google Scholar
[5] Kondo, S.Enriques surfaces with finite automorphism groups. Japan. J. Math. 12 (1986) 191–282.Google Scholar
[6] Mukai, S.Numerically trivial involutions of Kummer type of an Enriques surface. Kyoto J. Math. 50 (2010) 889–902.Google Scholar
[7] Mukai, S.Kummer's quartics and numerically reflective involutions of Enriques surfaces. J. Math. Soc. Japan 64 (2012) 231–246.Google Scholar
[8] Mukai, S. and Ohashi, H.Enriques surfaces of Hutchinson–Göpel type and Mathieu automorphisms. In Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds. Fields Institute Communication No. 67, 2013, pp. 429–454.Google Scholar
[9] Nikulin, V. V.On a description of the automorphism groups of Enriques surfaces. Soviet Math. Dokl. 30 (1984) 282–285.Google Scholar
[10] Serre, J. P.Cohomologie des groupes discrets. In Prospects in Mathematics (Proceedings of Symposium, Princeton University, Princeton, NJ, 1970), pp. 77–169. Annals of Mathematical Studies, No. 70. Princeton, NJ: Princeton University Press, 1971.
[11] Vinberg, E. B.The two most algebraic K3 surfaces. Math. Ann. 265 (1983) 1–21.Google Scholar
[12] Vinberg, E. B.Some arithmetical discrete groups in Lobaĉevskiî spaces. In Discrete Subgroups of Lie Groups and Applications to Moduli (Bombay 1973). Oxford: Oxford University Press, 1975, pp. 323–348.

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