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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Takayama, Yukihide 2015. On Kodaira type vanishing for Calabi–Yau threefolds in positive characteristic. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry,


    Liedtke, Christian and Satriano, Matthew 2014. On the birational nature of lifting. Advances in Mathematics, Vol. 254, p. 118.


    Takayama, Yukihide 2014. Kodaira Type Vanishing Theorem for the Hirokado Variety. Communications in Algebra, Vol. 42, Issue. 11, p. 4744.


    Cynk, Sławomir and Schütt, Matthias 2012. Non-liftable Calabi–Yau spaces. Arkiv för Matematik, Vol. 50, Issue. 1, p. 23.


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Desingularized fiber products of semi-stable elliptic surfaces with vanishing third Betti number

  • Chad Schoen (a1)
  • DOI: http://dx.doi.org/10.1112/S0010437X08003801
  • Published online: 01 January 2009
Abstract
Abstract

Desingularized fiber products of semi-stable elliptic surfaces with Hetale3=0 are classified. Such varieties may play a role in the study of supersingular threefolds, of the deformation theory of varieties with trivial canonical bundle, and of arithmetic degenerations of rigid Calabi–Yau threefolds.

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[3]M. Artin , Algebraization of formal moduli, II. Existence of modifications, Ann. of Math. (2) 91 (1970), 88135.

[7]P. Deligne , La conjecture de Weil: II, Publ. Math. Inst. Hautes Études Sci. 52 (1980), 137252.

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[14]M. Hirokado , Calabi–Yau threefolds obtained as fiber products of elliptic and quasi-elliptic rational surfaces, J. Pure Appl. Algebra 162 (2001), 251271.

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[27]C. Schoen , On fiber products of rational elliptic surfaces with section, Math. Z. 197 (1988), 177199.

[29]C. Schoen , Complex varieties for which the Chow group mod n is not finite, J. Algebraic Geom. 11 (2002), 41100.

[33]A. Schweizer , Extremal elliptic surfaces in characteristic 2 and 3, Manuscripta Math. 102 (2000), 505521.

[35]T. Shioda , On unirationality of supersingular surfaces, Math. Ann. 225 (1977), 155159.

[36]J. Silverman , The arithmetic of elliptic curves (Springer, New York, 1986).

[37]J. Silverman , Advanced topics in the arithmetic of elliptic curves (Springer, New York, 1994).

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Compositio Mathematica
  • ISSN: 0010-437X
  • EISSN: 1570-5846
  • URL: /core/journals/compositio-mathematica
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