The rationality of the moduli space of Enriques surfaces

Shigeyuki Kondō

Compositio Mathematica (1994)

  • Volume: 91, Issue: 2, page 159-173
  • ISSN: 0010-437X

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Kondō, Shigeyuki. "The rationality of the moduli space of Enriques surfaces." Compositio Mathematica 91.2 (1994): 159-173. <http://eudml.org/doc/90287>.

@article{Kondō1994,
author = {Kondō, Shigeyuki},
journal = {Compositio Mathematica},
keywords = {coarse moduli space; Enriques surfaces; moduli space of K3-surfaces},
language = {eng},
number = {2},
pages = {159-173},
publisher = {Kluwer Academic Publishers},
title = {The rationality of the moduli space of Enriques surfaces},
url = {http://eudml.org/doc/90287},
volume = {91},
year = {1994},
}

TY - JOUR
AU - Kondō, Shigeyuki
TI - The rationality of the moduli space of Enriques surfaces
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 91
IS - 2
SP - 159
EP - 173
LA - eng
KW - coarse moduli space; Enriques surfaces; moduli space of K3-surfaces
UR - http://eudml.org/doc/90287
ER -

References

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  1. [B-B] Baily, W.L. and Borel, A., Compactification of arithmetic quotients of bounded symmetric domains, Ann. Math., 84 (1966), 442-528. Zbl0154.08602MR216035
  2. [B-P] Barth, W. and Peters, C., Automorphisms of Enriques surfaces, Invent. math., 73 (1983), 383-411. Zbl0518.14023MR718937
  3. [B] Borel, A., Some metric properties of arithmetic quotients of symmetric spaces and an extension theorem, J. Diff. Geometry6 (1972), 543-560. Zbl0249.32018MR338456
  4. [C-D] Cossec, F. and Dolgachev, I., Enriques surfaces I, Boston: Birkhäuser1989. Zbl0665.14017MR986969
  5. [D1] Dolgachev, I., Rationality of fields of invariants, in "Algebraic Geometry, Bowdoin1985", Proc. Symp. Pure Math., 46 (1987), Part II, 3-16. Zbl0659.14009MR927970
  6. [D2] Dolgachev, I., Enriques surfaces: what is left, in "Proc. Conference on algebraic surfaces", Cortona, 1988. Zbl0832.14029
  7. [H] Horikawa, E., On the periods of Enriques surfaces I, Math. Ann., 234 (1978), 73-108; II, ibid., 235 (1978), 217-246. Zbl0412.14015MR491725
  8. [Ko] Kondo, S., Automorphisms of algebraic K3 surfaces which act trivially on Picard groups, J. Math. Soc. Japan, 44 (1992), 75-98. Zbl0763.14021MR1139659
  9. [K] Kulikov, V.S., The epimorphicity of the period map for surfaces of type K3, Uspehi Mat. Nauk, 32 (1977), 257-258 (Russian). Zbl0449.14008MR480528
  10. [Na] Namikawa, Y., Periods of Enriques surfaces, Math. Ann., 270 (1985), 201-222. Zbl0536.14024MR771979
  11. [N1] Nikulin, V.V., Integral symmetric bilinear forms and some of their applications, Math. USSR Izv., 14 (1980), 103-167. Zbl0427.10014
  12. [N2] Nikulin, V.V., Factor groups of groups of the automorphisms of hyperbolic forms with respect to subgroups generated by 2-reflections, J. Soviet Math., 22 (1983), 1401-1475. Zbl0508.10020
  13. [N3] Nikulin, V.V., On the description of groups of automorphisms of Enriques surfaces, Soviet Math. Dokl., 227 (1984), 1324-1327 (Russian). Zbl0604.14036
  14. [P-S] Piatetskii-Shapiro, I. and Shafarevich, I.R., A Torelli theorem for algebraic surfaces of type K3, Math. USSR-Izv., 5 (1971), 547-588. Zbl0253.14006
  15. [V] Vinberg, E.B., Some arithmetic discrete groups in Lobachevsky spaces, in "Discrete subgroups of Lie groups and applications to Moduli", Tata-Oxford (1975), 323-348. Zbl0316.10013MR422505

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