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Infinitesimal deformations of complex surfaces with boundary

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References

  1. Barth, W., Peter, C., Van de Ven, A.: Compact complex surfaces, (1987), Springer-Verlag

  2. Bogomolov, F.: On the fillability of contact structures on three dimensional manifolds. Preprint (1993)

  3. Borel, A.: Introduction aux groupes arithmétiques. Hermann, Paris (1969)

    Google Scholar 

  4. Calabi, E., Vessentini, E.: On compact locally symmetric Kähler manifolds. Ann. Math.71 (1960), 472–507

    Google Scholar 

  5. Grauert, H.: Über Modifikationen und exzeptionelle analytische Mengen. Math. Ann.146 (1962), 331–368

    Google Scholar 

  6. Griffiths, P., Harris, J.: Principles of Algebraic Geometry. Wiley (1978)

  7. Hamilton, R.S.: Deformation of complex structures on manifolds with boundary 2. J.D.G.14 (1979), 409–473

    Google Scholar 

  8. Hemperly, J.C.: The parabolic contribution to the number of linearly independent automorphic forms on a certain bounded domain. Amer. J. Math.94 (1972), 1078–1100

    Google Scholar 

  9. Holzapfel, R.: A class of minimal surfaces in the unknown region of surface geometry. Math. Nachr.98 (1980), 211–232

    Google Scholar 

  10. Holzapfel, R.: Ball cusp singularities. Nova acta Leopoldina240 (1981), 109–117

    Google Scholar 

  11. Holzapfel, R.: Invariants of arithmetic ball quotient surfaces. Math. Nachr.103 (1981), 117–153

    Google Scholar 

  12. Holzapfel, R.: Arithmetic curves on ball quotient surfaces. Ann Glob. Analysis and Geometry1 (1983), 21–90

    Google Scholar 

  13. Kawamata, Y.: On Deformations of Compactified Manifolds. Math. Ann.235 (1978), 247–265

    Google Scholar 

  14. Kiremidjian, G.: On complex structures with a fixed induced CR-structure. Ann. Math.109 (1979), 87–119

    Google Scholar 

  15. Kodaira, K., Morrow, K.: Complex Manifolds. Holt, Rinehart and Winston, Inc. (1971)

  16. Laufer, H.B.: Versal deformations for 2-dimensional pseudoconvex manifolds. Annali della Scuola Normale Superiori di Pisa (4)7 (1980), 511–521

    Google Scholar 

  17. Narashimhan, R.: Compact Riemann surfaces. (1992), Birkhäuser

  18. Range, R.M.: Holomorphic functions and integral representations in several complex variables. (1986), Springer-Verlag

  19. Takamura, S.: The rigidity and non-rigidity of complex hyperbolic surfaces. (1994). Preprint

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Takamura, S. Infinitesimal deformations of complex surfaces with boundary. Math. Ann. 306, 195–204 (1996). https://doi.org/10.1007/BF01445247

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  • DOI: https://doi.org/10.1007/BF01445247

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