Families of varieties with prescribed singularities

Gert-Martin Greuel; Ulrich Karras

Compositio Mathematica (1989)

  • Volume: 69, Issue: 1, page 83-110
  • ISSN: 0010-437X

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Greuel, Gert-Martin, and Karras, Ulrich. "Families of varieties with prescribed singularities." Compositio Mathematica 69.1 (1989): 83-110. <http://eudml.org/doc/89944>.

@article{Greuel1989,
author = {Greuel, Gert-Martin, Karras, Ulrich},
journal = {Compositio Mathematica},
keywords = {families of varieties; isolated singularities; embedded deformations},
language = {eng},
number = {1},
pages = {83-110},
publisher = {Kluwer Academic Publishers},
title = {Families of varieties with prescribed singularities},
url = {http://eudml.org/doc/89944},
volume = {69},
year = {1989},
}

TY - JOUR
AU - Greuel, Gert-Martin
AU - Karras, Ulrich
TI - Families of varieties with prescribed singularities
JO - Compositio Mathematica
PY - 1989
PB - Kluwer Academic Publishers
VL - 69
IS - 1
SP - 83
EP - 110
LA - eng
KW - families of varieties; isolated singularities; embedded deformations
UR - http://eudml.org/doc/89944
ER -

References

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  3. [Bi2] Bingener, J.: Darstellbarkeitskriterien für analytische Funktoren. Ann. Sci. École Norm. Sup.13 (1980) 317-347. Zbl0454.32017MR597743
  4. [B-G] Buchweitz, R. and Greuel, G.-M.: The Milnor number and deformations of complex curve singularities. Invent. Math.58 (1980) 241-281. Zbl0458.32014MR571575
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  8. [Il] Illusie, L.: Complex cotangent et deformations I, SLN 239, Springer Verlag (1971). Zbl0224.13014MR491680
  9. [Ko] Koelman, R.J.: Over de Cusp, Leiden (1986). 
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  11. [Lu] Luengo, I.: On the Existence of Complete Families of Projective Plane Curves, which are Obstructed. Preprint. Zbl0641.14012MR897672
  12. [Pa] Palamodov, V.P.: Deformations of Complex Spaces, Russian Math. Surv.31 (1976) 129-197. Zbl0347.32009MR508121
  13. [Sch] Schlessinger, M.: Functors of Artin rings, Trans AMS130 (1968) 208-222. Zbl0167.49503MR217093
  14. [SV] Schuster, W. and Vogt, A.: The Moduli of quotients of a compact complex space. Journ. f.r.u.a. Math.364 (1986) 51-59. Zbl0567.32007MR817637
  15. [Ta1] Tannenbaum, A.: Families of algebraic curves with nodes. Comp. Math.41 (1980) 107-126. Zbl0399.14018MR578053
  16. [Ta2] Tannenbaum, A.: On the classical characteristic linear series of plane curves with nodes and cuspidal points: two examples of Benjamino Segre. Comp. Math.51 (1984) 169-183. Zbl0556.14008MR739731
  17. [VS] Van Straten, D.: Weakly Normal Surface Singularities and their Improvements, Thesis, Leiden1987. 
  18. [Wa] Wahl, J.: Deformations of plane curves with nodes and cusps. Am. Journ. of Math.96 (1974) 529-577. Zbl0299.14008MR387287

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