Skip to main content
Log in

Special rank two vector bundles over Enriques surfaces

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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. W. Barth, C. Peters, A. Van de Ven, Compact complex surfaces. Springer, Berlin 1984

    Google Scholar 

  2. A. Beauville, Variétés de Prym et Jacobiennes intermédiaires. Ann. Sci. Ec. Norm. Sup., 4e Sér.10, 309–391 (1971)

    Google Scholar 

  3. A. Beauville, Surfaces algébriques complexes, Astérisque54, 1978

  4. M. Beltrametti, A.J. Sommese, Zero cycles andk-th order embeddings of smooth projective surfaces. In: Problems in the theory of surfaces and their classification, Symp. Math. XXXII. Academic Press, 33–48 (1991)

  5. S. Brivio, Smooth Enriques surfaces inP 4 and exceptional bundles. Math. Z.213, 509–521 (1993)

    Google Scholar 

  6. A. Conte, A. Verra, Reye constructions for nodal Enriques surfaces. To appear in Trans. Am. Math. Soc.

  7. F. Cossec, I. Dolgacev, Enriques surfaces. Birkhauser 1989

  8. I. Dolgacev, I. Reider, On rank 2 vector bundles withc 21 =10 andc 2=3 on Enriques surfaces. In: Algebraic geometry. Chicago 1989 L.N.M.1479

  9. Ph. A Griffiths, J. Harris, Principles of algebraic geometry. John Wiley, 1978

  10. Ph. A. Griffiths, J. Harris, Residues and zero-cycles on algebraic varieties. Ann. Math.108, 461–505 (1978)

    Google Scholar 

  11. H. Kim, Exceptional bundles on nodal Enriques surfaces. (Preprint 1991)

  12. H. Kim, Stable vector bundles of rank two over Enriques surfaces. (Preprint 1992)

  13. K. Kodaira, D.C. Spencer, On deformations of complex analytic structures I–II. Ann. Math.67, 328–466 (1958)

    Google Scholar 

  14. S. Mukai, Symplectic structure of the moduli space of sheaves on an abelian or a K3 surface. Invent. Math.77, 101–116 (1984)

    Google Scholar 

  15. Z. Qin, Chamber structures of algebraic surfaces with Kodaira dimension O and moduli spaces of stable rank two bundles. Math. Z.207, 121–136 (1991)

    Google Scholar 

  16. B. Saint-Donat, Projective models of K3 surfaces. Am. J. Math.96, 602–639 (1974)

    Google Scholar 

  17. F. Takemoto, Stable vector bundles on algebraic surfaces II. Nagoya Math. J.52, 173–195 (1973)

    Google Scholar 

  18. A.N. Tyurin, Special O-cycles on a polarised K3 surface. Math. USSR Izv.30, 123–143 (1988)

    Google Scholar 

  19. A.N. Tyurin, Géométrie des surfaces K3: Modules et périodes. Ed. A. Beauville, Astérisque126, 1985

Download references

Author information

Authors and Affiliations

Authors

Additional information

Partially supported by the European Science project “Geometry of Algebraic Varieties”, Contract SCJ-0398-C(A)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Naie, D. Special rank two vector bundles over Enriques surfaces. Math. Ann. 300, 297–316 (1994). https://doi.org/10.1007/BF01450488

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01450488

Mathematics Subject Classification (1991)

Navigation