Singularities of the moduli spaces of certain abelian surfaces

Klaus Hulek; Constantin Kahn; Steven H. Weintraub

Compositio Mathematica (1991)

  • Volume: 79, Issue: 2, page 231-253
  • ISSN: 0010-437X

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Hulek, Klaus, Kahn, Constantin, and Weintraub, Steven H.. "Singularities of the moduli spaces of certain abelian surfaces." Compositio Mathematica 79.2 (1991): 231-253. <http://eudml.org/doc/90105>.

@article{Hulek1991,
author = {Hulek, Klaus, Kahn, Constantin, Weintraub, Steven H.},
journal = {Compositio Mathematica},
keywords = {singular locus of the moduli spaces; abelian surfaces with level structure; toroidal compactification},
language = {eng},
number = {2},
pages = {231-253},
publisher = {Kluwer Academic Publishers},
title = {Singularities of the moduli spaces of certain abelian surfaces},
url = {http://eudml.org/doc/90105},
volume = {79},
year = {1991},
}

TY - JOUR
AU - Hulek, Klaus
AU - Kahn, Constantin
AU - Weintraub, Steven H.
TI - Singularities of the moduli spaces of certain abelian surfaces
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 79
IS - 2
SP - 231
EP - 253
LA - eng
KW - singular locus of the moduli spaces; abelian surfaces with level structure; toroidal compactification
UR - http://eudml.org/doc/90105
ER -

References

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  1. [1] Franke, H.-G.: Kurven in Hilbertschen Modulflächen und Humbertsche Flächen im Siegel-Raum. Bonner Math. Schriften104 (1977). Zbl0427.10018MR516810
  2. [2] Gottschling, E.: Über die Fixpunkte der Siegelschen Modulgruppe. Math. Ann.143, 111-149 (1961). Zbl0099.28801MR123026
  3. [3] Gottschling, E.: Über die Fixpunktuntergruppen der Siegelschen Modulgruppe. Math. Ann.143, 399-430 (1961). Zbl0099.28802MR124407
  4. [4] Hulek, K.: Elliptische Kurven, abelsche Flächen und das Ikosaeder. Jber. Deutsche Math.-Verein. 91, 126-147 (1989). Zbl0704.52005MR1009321
  5. [5] Hulek, K., Kahn, C., Weintraub, S.: Theta functions and compactification of moduli spaces of polarized abelian surfaces. In preparation. Zbl0809.14035
  6. [6] Hulek K., Weintraub, S.: Bielliptic abelian surfaces. Math. Ann.283, 411-429 (1989). Zbl0641.14014MR985240
  7. [7] Namikawa, Y.: Toroidal compactification of Siegel spaces. Lecture Notes in Mathematics, Vol. 812. Springer-Verlag1980. Zbl0466.14011MR584625
  8. [8] Reid, M.: Young person's guide to canonical singularities. In: Algebraic Geometry, Bowdoin1985 (Ed.: S. Bloch). Proc. Sympos. Pure Math.46(1), 345-414 (1987). Zbl0634.14003MR927963
  9. [9] Ueno, K.: On fibre spaces of normally polarized abelian varieties of dimension 2. I. J. Fac. Sci. Univ. Tokyo Sect. IA18, 37-95 (1971). II. ibid.19, 163-199 (1972). Zbl0258.14010

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