Available in electronic format
Available in print format
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826 (e) ISSN 0002-9939 (p)
     

Interpretation of the deformation space of a determinantal Barlow surface via smoothings

Author(s): Yongnam Lee
Journal: Proc. Amer. Math. Soc. 130 (2002), 963-969.
MSC (2000): Primary 14J10, 14J17
Posted: October 1, 2001
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: In this present paper, we provide an interpretation of the deformation space of a determinantal Barlow surface via smoothings.


References:

[B]
R. Barlow, A simply connected surface of general type with $p_{g}=0$, Invent. Math. 79 (1985), 293-301. MR 87a:14033

[C1]
F. Catanese, Babbage's conjecture, contact of surfaces, symmetric determinantal varieties and applications, Invent. Math. 63 (1981), 433-465. MR 83c:14026

[C2]
F. Catanese, On the moduli spaces of surfaces of general type, J. Diff. Geom. 19 (1984), 483-515. MR 86h:14031

[CL]
F. Catanese and C. Le Brun, On the scalar curvature of Einstein manifolds, Math. Res. Lett. 4, No. 6 (1997), 843-854. MR 98k:53057

[DF]
S. Donaldson and R. Friedman, Connected sums of self-dual manifolds and deformations of singular spaces, Nonlinearity 2 (1989), 197-239. MR 90e:32027

[F]
R. Friedman, Global smoothings of varieties with normal crossings, Ann. Math. 118 (1983), 75-114. MR 85g:32029

[Go]
R. Godement, Topologie Algébrique et Théorie des Faisceau, Hermann, Paris, 1958. MR 49:9831

[H]
R. Hartshorne, Algebraic Geometry, Graduate Texts in Math., vol. 52, Springer-Verlag, 1977. MR 57:3116

[L]
Y. Lee, Bicanonical pencil of a determinantal Barlow surface, Trans. Amer. Math. Soc. 353 (2001), 893-905. MR 2001f:14075

[PP]
U. Persson and H. Pinkham, Some examples of nonsmoothable varieties with normal crossings, Duke Math. J. 50, No. 2 (1983), 477-486. MR 84k:14010

Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 14J10, 14J17

Retrieve articles in all Journals with MSC (2000): 14J10, 14J17


Additional Information:

Yongnam Lee
Affiliation: Department of Mathematics, Sogang University, Sinsu-dong, Mapo-gu, Seoul 121--742, Korea
Email: ynlee@ccs.sogang.ac.kr

DOI: 10.1090/S0002-9939-01-06267-0
PII: S 0002-9939(01)06267-0
Received by editor(s): May 10, 2000
Received by editor(s) in revised form: October 17, 2000
Posted: October 1, 2001
Additional Notes: This work was supported by grant 1999-2-102-002-3 from the Interdisciplinary Research Program of the KOSEF and by the Sogang University Research Grants in 2000
Communicated by: Michael Stillman
Copyright of article: Copyright 2001, American Mathematical Society


  AMS Website Logo Small Comments: webmaster@ams.org
© Copyright 2009, American Mathematical Society
Privacy Statement
Search the AMSPowered by Google