On the Kodaira dimension of the moduli space of K3 surfaces

Shigeyuki Kondō

Compositio Mathematica (1993)

  • Volume: 89, Issue: 3, page 251-299
  • ISSN: 0010-437X

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Kondō, Shigeyuki. "On the Kodaira dimension of the moduli space of K3 surfaces." Compositio Mathematica 89.3 (1993): 251-299. <http://eudml.org/doc/90261>.

@article{Kondō1993,
author = {Kondō, Shigeyuki},
journal = {Compositio Mathematica},
keywords = {K3 surface; principal polarization; period space; toroidal compactification},
language = {eng},
number = {3},
pages = {251-299},
publisher = {Kluwer Academic Publishers},
title = {On the Kodaira dimension of the moduli space of K3 surfaces},
url = {http://eudml.org/doc/90261},
volume = {89},
year = {1993},
}

TY - JOUR
AU - Kondō, Shigeyuki
TI - On the Kodaira dimension of the moduli space of K3 surfaces
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 89
IS - 3
SP - 251
EP - 299
LA - eng
KW - K3 surface; principal polarization; period space; toroidal compactification
UR - http://eudml.org/doc/90261
ER -

References

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  11. [11] Mukai, S.: Curves, K3 surfaces and Fano 3-folds of genus ≤ 10, in Algebraic Geometry and commutative algebra in Honor of M. Nagata, 357-377, Kinokuniya (1987). Zbl0701.14044
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  13. [13] Mumford, D.: On the Kodaira dimension of the Siegel modular variety, Lect. Notes in Math., Vol. 997 (1983), 348-375, Springer. Zbl0527.14036MR714757
  14. [14] Namikawa, Y.: Toroidal compactification of Siegel space, Lecture Notes in Math. Vol. 812 (1980), Springer. Zbl0466.14011MR584625
  15. [15] Nikulin, V.V.: Finite automorphism groups of Kähler surfaces of type K3, Proc. Moscow Math. Soc.38 (1979) 75-137. Zbl0433.14024
  16. [16] Nikulin, V.V.: Integral symmetric bilinear forms and some of their applications, Math. USSR Izv.14 (1980) 103-166. Zbl0427.10014
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  18. [18] Piatetskii-Shapiro, I. and Shafarevich, I.R.: A Torelli theorem for algebraic surfaces of type K3, Math. USSR Izv.35 (1971) 530-572. Zbl0219.14021
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  20. [20] Scattone, F.: On the compactification of moduli spaces for algebraic K3 surfaces, Memoirs of A.M.S., Vol. 70, No. 374 (1987). Zbl0633.14019MR912636
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