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Analytic construction of versal deformation of resolution of normal isolated singularities

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We analytically construct the versal deformation space of resolution of normal isolated singularities based on the formalism in [9].

Abstract

We analytically construct the versal deformation space of resolution of normal isolated singularities based on the formalism in [9].

참고문헌 (10)

  1. T. Akahori, "The new Neumann operator associated with deformations of strongly pseudoconvex domains and its application to deformation theory", Invent. Math., 68(2), pp.317~352 (1982)
  2. M. Artin, "Algebraic construction of Brieskorn's resolutions", J. Algebra, 29, pp.330~348 (1974)
  3. R. Beals, "Lp and Lipschitz estimates for the @-equation and the @-Neumann problem", Math. Ann., 277(2), pp.185~196 (1987)
  4. G. B. Folland, "The Neumann Problem for the Cauchy-Riemann Complex", Ann. of Math. Stud., (75) (1972), Princeton University Press
  5. O. Forster, "Uber die Deformationen von Vektorraumbundeln auf kompakten komplexen Raumen", Math. Ann., 209, pp.291~346 (1974)
  6. . C. Greiner, "Estimates for the Neumann Problem", Math. Notes, (19) (1977), Princeton University Press
  7. S. Kosarew, "Uber zusammenblasbare Deformationen streng pseudokonvexer Raume", Abh. Math. Sem. Univ. Hamburg, 55, pp.201~206 (1985)
  8. K. Miyajima, "CR construction of the at deformations of normal isolated singularities", J. Algebraic Geom., 3, pp.403~470 (1999)
  9. Kimio Miyajima, "Analytic approach to deformation of resolution of normal isolated singularities: Formal deformations", 대한수학회지, 40(4), pp.709~723 (2003), 대한수학회
  10. K. Miyajima, "Deformation of complex structure on normal isolated singularities", Kyushu J. Math., 60(2), pp.415~437 (2006)

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