Skip to main content
Log in

Algebraic surfaces of general type with smallc 21 . IV

  • Published:
Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Bombieri, E.: Canonical models of surfaces of general type. Publ. Math. IHES42, 171–219 (1973)

    Google Scholar 

  2. Fujiki, A., Nakano, S.: Supplement to: On the inverse of monoidal transformation. Publ. Res. Inst. Math. Sci. Kyoto Univ.7, 637–644 (1971/72)

    Google Scholar 

  3. Grothendieck, A.: Éléments de géométrie algébrique, IV (seconde partie). Publ. Math. IHES24 (1965)

  4. Horikawa, E.: On deformations of holomorphic maps, I, II, III. J. Math. Soc. Japan25, 372–396 (1973), ibid.26, 647–667 (1974), Math. Ann.222, 275–282 (1976)

    Google Scholar 

  5. Horikawa, E.: On the number of moduli of certain algebraic surfaces of general type. J. Fac. Sci. Univ. Tokyo22, 67–78 (1975)

    Google Scholar 

  6. Horikawa, E.: On deformations of quintic surfaces. Inventiones math31, 43–85 (1975) (referred to as [Q])

    Google Scholar 

  7. Horikawa, E.: Algebraic surfaces of general type with smallc 21 . I, II, III. Ann. of Math.104, 357–387 (1976), Inventiones math.37, 121–155 (1976), ibid.47, 209–248 (1978)

    Google Scholar 

  8. Horikawa, E.: On deformations of rational maps. J. Fac. Sci. Univ. Tokyo23, 581–600 (1976)

    Google Scholar 

  9. Horikawa, E.: On algebraic surfaces with pencils of curves of genus 2. In: Complex Analysis and Algebraic Geometry, a volume dedicated to K. Kodaira, pp. 79–90, Tokyo and Cambridge: Iwanami Shoten, Publishers and Cambridge University Press, 1977 (referred to as [P])

    Google Scholar 

  10. Kodaira, K.: On characteristic systems of families of surfaces with ordinary singularities in a projective space. Amer. J. Math.87, 227–255 (1965)

    Google Scholar 

  11. Kodaira, K., Nirenberg, L., Spencer, D.C.: On the existence of deformations of complex structures. Ann. of Math.68, 450–459 (1958)

    Google Scholar 

  12. Kuranishi, M.: Deformations of compact complex manifolds. Lecture Notes, Université de Montréal, 1971

  13. Miyanishi, M., Nakamura, K.: On the structure of minimal surfaces of general type with 2p g=(K 2)+2. J. Math. Kyoto Univ.18, 137–171 (1978)

    Google Scholar 

  14. Mumford, D.: Theta characteristics of an algebraic curve. Ann. Sci. Éc. Norm. Sup. 4e sér.4, 181–192 (1971)

    Google Scholar 

  15. Nagata, M.: On rational surfaces I. Mem. Coll. Sci. Univ. Kyoto32, 351–370 (1960)

    Google Scholar 

  16. Prill, D.: The fundamental group of the complement of an algebraic curve. Manuscripta math.14, 163–172 (1974)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Horikawa, E. Algebraic surfaces of general type with smallc 21 . IV. Invent Math 50, 103–128 (1978). https://doi.org/10.1007/BF01390285

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01390285

Keywords

Navigation