Deformations of algebraic varieties with G m action
Astérisque, no. 20 (1974) , 140 p. 
@book{AST_1974__20__1_0,
     author = {Pinkham, Henry C.},
     title = {Deformations of algebraic varieties with $G_m$ action},
     series = {Ast\'erisque},
     year = {1974},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {20},
     mrnumber = {376672},
     zbl = {0304.14006},
     language = {en},
     url = {https://www.numdam.org/item/AST_1974__20__1_0/}
}
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Pinkham, Henry C. Deformations of algebraic varieties with $G_m$ action. Astérisque, no. 20 (1974), 140 p. https://www.numdam.org/item/AST_1974__20__1_0/

1. A. Altman and S. Kleiman, Introduction to Grothendieck Duality Theory, Springer, Lecture Notes No. 146 (1970) | MR | Zbl

2. E. Arborello, Thesis, Columbia University, (1975)

3. M. Artin, Algebraization of Formal Moduli, I, in Global Analysis (Papers in Honor of K. Kodaira), University of Tokyo Press, Princeton University Press (1969) | Zbl | MR

4. M. Artin, Algebraic construction of Brieskorn's resolutions, to appear. | MR | Zbl | DOI

5. M. Auslander, Remark on a theorem of Bourbaki, Nagoya Math. J. 27 (1966) | MR | Zbl | DOI

6. H. F. Baker, Abel's theorem and the allied theory, Cambridge University Press (1897) | JFM

7. R. Berger, Differentialmoduln eindimensionaler localer Ringe, Math. Zeitschr. 81, (1963) | MR | Zbl | EuDML | DOI

8. H. Brezinsky, On prime ideals with generic zero x i =t n i , to appear. | MR | Zbl

9. E. Brieskorn, Singular elements of semi-simple algebraic groups, Proc. Inter. Congr. Math., Nice 1970, Gauthier-Villars, Paris (1971) | MR | Zbl

10. P. Deligne, "Quadriques". Exposé XII in "Groupes de Monodromie en Géométrie Algébrique" (SGA 7.Il), Springer, Lecture Notes 340 (1973) | Zbl | DOI

11. P. Deligne and D. Mumford, The irreducibility of the space of curves of a given genus. Publ. Math. I.H.E.S. no. 36 (1969) | MR | Zbl | EuDML | Numdam

12. R. Elkik, Algébrisation du module formel d'une singularité isolée, to appear.

13. H. Farkas Special divisors and analytic subloci of Teichmueller space, Amer. J. Math. 88 (1966) | Zbl | MR | DOI

14. H. Grauert, Über die Deformationen isolierter Singularitäten analytischer Mengen, Invent. Math. 15 (1972) | MR | Zbl | EuDML

15. A. Grothendieck, "Elements de Géométrie Algébrique, II" Publ. Math. I.H.E.S. no. 8 (1961)

16. A. Grothendieck, "Local Cohomology", Springer Lecture Notes, No. 41 (1967) | Zbl | MR

17. A. Grothendieck, "Techniques de construction et théorèmes d'existence en géométrie algébrique IV: les schémas de Hilbert, Séminaire Bourbaki, No. 221 (1961). | Zbl | EuDML | Numdam

18. A. Grothendieck, "Revêtements étales et groupe fondamental (SGA I)" , Springer Lecture Notes No. 224 (1971) | MR

19. R. C. Gunning, Lectures on Riemann Surfaces, Princeton mathematical notes, Princeton University Press (1966) | MR | Zbl

20. R. Hartshorne, Curves with high self-intersection on algebraic surfaces, Publ. Math. I.H.E.S. No. 36 (1969) | MR | Zbl | EuDML | Numdam

21. M. Haure, Recherches sur les points de Weierstrass d'une courbe plane algébrique, Ann. de l'Ec. Normale, 3e Série, XIII, April 1896. | MR | JFM | EuDML | Numdam

22. K. Hensel and G. Landsberg, Théorie der algebraischen Functionen einer Variabeln, Chelsea reprint (1965) | Zbl

23. J. Herzog, Generators and Relations of Abelian Semigroups and Semigroup rings, Manuscripta Math. 2 (1970). | Zbl | MR | EuDML

24. J. Herzog and E. Kunz, Die Wertehalbgruppe eines lokalen Rings der Dimension 1, Ber. Heidelberger Akad. Wiss. 1971, II. Abh. (1971) | MR | Zbl

24a. J. Herzog and E. Kunz, Der Kanonische Modul eines Cohen-Macaulay Rings, Springer Lecture Notes 238 (1971) | Zbl | MR

25. G. Kempf, F. Knudsen, D. Mumford and B. Saint-Donat, Toroidal Embeddings I, Springer, Lecture Notes 359 (1973) | MR | Zbl

26. E. Kunz, Vollständige Durchschnitte und Differenten, Arch. Math. 19 (1968) | MR | Zbl | DOI

27. H. Laufer, Normal two dimensional singularities, Annals of Mathematics Studies no. 71 Princeton University Press (1971) | MR | Zbl

28. S. Lichtenbaum and M. Schlessinger, The Cotangent Complex of a Morphism, Trans. Amer. Math. Soc. 128 (1967) | MR | Zbl | DOI

29. A. L. Mayer, Familles of K-3 Surfaces, Nagoya Math. J. 48 (1972) | MR | Zbl | DOI

30. D. Mumford, Pathologies IV, to appear in Amer. J. Math. | MR | Zbl

31. D. Mumford, A Remark on the Paper of M. Schlessinger, Rice University Studies, Vol. 59, no. 1 (1973) | MR | Zbl

32. D. Mumford, "Varieties defined by quadratic equations" in Questions on Algebraic Varieties (C.I.M.E.), Cremonese, Rome, 1970 | MR | Zbl

32a. D. Mumford, Geometric Invariant Theory, Springer Berlin / New York (1965) | MR | Zbl

33. M. Nagata, On rational surfaces, I, Memoirs of the College of Science, University of Kyoto, 32, No. 3 (1960) | Zbl

34. P. Orlik and P. Wagreich, Isolated singularities of algebraic surfaces with ℂ * action, Ann. Math. 93 (1971) | MR | Zbl | DOI

35. H. C. Pinkham, Deformations of Cones with Négative Grading, Jour. of Algebra, 30 (1974) | Zbl | MR

36. H. E. Rauch, Weierstrass Points, Branch Points and Moduli of Riemann Surfaces, Comm. on Pure and Appl. Math., 12 (1959) | MR | Zbl | DOI

37. O. Riemenschneider, Deformationen von Quotienten-singularitäten, to appear. | Zbl

38. D. S. Rim, Torsion Differentials and Deformation, Trans. Amer. Math. Soc, Vol. 169 (1972) | MR | Zbl

39. B. Saint-Donat, Sur les équations définissant une courbe algébrique, C.R. Acad. Sci. Paris t. 274, p: 324-327 (1972) | MR | Zbl

40. B. Saint-Donat, Projective models of K-3 surfaces, to appear. | MR | Zbl | DOI

41. B. Saint-Donat, On Petri's Analysis of the Linear System of Quadrics through a Canonical Curve, Math. Ann. 206 (1973) | MR | Zbl | EuDML | DOI

42. M. Schaps, Thesis, Harvard University, Cambridge (1973)

43. M. Schlessinger, Functors of Artin rings, Trans. Amer. Math. Soc. 130 (1968) | MR | Zbl | DOI

44. M. Schlessinger, Rigidity of quotient singularities, Invent. Math. 14 (1971) | MR | Zbl | EuDML | DOI

45. M. Schlessinger, On Rigid Singularities, Rice University Studies, Vol. 59, no. 1 (1973) | MR | Zbl

46. I. Schafarevitch, Algebraic Surfaces, Amer. Math. Soc., Providence (1967)

47. G. N. Tjurina, Locally semi-universal flat deformations of isolated singularities of complex space, Math. USSR, Izvestija, Vol. 3 (1970), No. 5 | Zbl

48. O. Zariski, Algebraic Surfaces, 2nd supplemented édition, Springer, Berlin / New York (1971) | MR | Zbl