On some components of moduli space of surfaces of general type

Marco Manetti

Compositio Mathematica (1994)

  • Volume: 92, Issue: 3, page 285-297
  • ISSN: 0010-437X

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Manetti, Marco. "On some components of moduli space of surfaces of general type." Compositio Mathematica 92.3 (1994): 285-297. <http://eudml.org/doc/90308>.

@article{Manetti1994,
author = {Manetti, Marco},
journal = {Compositio Mathematica},
keywords = {simple bihyperelliptic surfaces; minimal surface of general type; Chern class; divisibility; homeomorphic but not diffeomorphic surfaces},
language = {eng},
number = {3},
pages = {285-297},
publisher = {Kluwer Academic Publishers},
title = {On some components of moduli space of surfaces of general type},
url = {http://eudml.org/doc/90308},
volume = {92},
year = {1994},
}

TY - JOUR
AU - Manetti, Marco
TI - On some components of moduli space of surfaces of general type
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 92
IS - 3
SP - 285
EP - 297
LA - eng
KW - simple bihyperelliptic surfaces; minimal surface of general type; Chern class; divisibility; homeomorphic but not diffeomorphic surfaces
UR - http://eudml.org/doc/90308
ER -

References

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  1. [Ar] M. Artin: Deformations of singularities. Tata institute of fundamental research, Bombay (1976). 
  2. [B-W] D. Burns and J. Wahl: Local contribution to global deformations of surfaces. Invent. Math.26 (1974) 67-88. Zbl0288.14010MR349675
  3. [Ca1] F. Catanese: On the moduli spaces of surfaces of general type. J. Diff. Geom.19 (1984) 483-515. Zbl0549.14012MR755236
  4. [Ca2] F. Catanese: Automorphisms of rational double points and moduli spaces of surfaces of general type. Compositio Math.61 (1987) 81-102. Zbl0615.14021MR879190
  5. [Ca3] F. Catanese: Connected components of moduli spaces. J. Diff. Geom.24 (1986) 395-399. Zbl0621.14014MR868977
  6. [Gi] D. Gieseker: Global moduli for surfaces of general type. Invent. Math.43 (1977) 233-282. Zbl0389.14006MR498596
  7. [Fl] H. Flenner: Über Deformationen Holomorpher Abbildungen. Habilitationsschrift, Osnabruck, 1978. 
  8. [Fre] M. Freedman: The topology of four-dimensional manifolds. J. Diff. Geom.17 (1982) 357-454. Zbl0528.57011MR679066
  9. [F-M-M] R. Friedman, B. Moishezon and J.W. Morgan: On the C∞ invariance of the canonical classes of certain algebraic surfaces. Bull. Amer. Math. Soc. (N.S.) 17 (1987) 283-286. Zbl0627.57014
  10. [F-M] R. Friedman and J.W. Morgan: Algebraic surfaces and four-manifolds: some conjectures and speculations. Bull. Amer. Math. Soc. (N.S.) 18 (1988) 1-19. Zbl0662.57016MR919651
  11. [Ma1] H. Matsumura: On algebraic groups of birational transformations. Rend. Accad. Lincei Ser.834 (1963) 151-155. Zbl0134.16601MR159825
  12. [Ma2] H. Matsumura: Commutative Ring Theory. Cambridge University Press (1986). Zbl0603.13001MR879273
  13. [Mo] B.G. Moishezon: Analogs of Lefschetz theorems for linear systems with isolated singularities. J. Diff. Geom.31 (1990) 47-72. Zbl0704.57009MR1030665
  14. [Pi] H. Pinkham: Some local obstructions to deforming global surfaces. Nova acta Leopoldina NF 52 Nr. 240 (1981) 173-178. Zbl0492.14021MR642704
  15. [Ran] Z. Ran: Deformations of maps. In: Algebraic Curves and Projective Geometry Proc. Trento1988, Springer L.N.M. 1389 (1989) 246-253. Zbl0708.14006MR1023402

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