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Degenerations of cubic threefolds and matroids

Author(s): Tawanda Gwena
Journal: Proc. Amer. Math. Soc. 133 (2005), 1317-1323.
MSC (2000): Primary 14H40; Secondary 05B35, 14E08, 14D20
Posted: November 22, 2004
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Abstract: We present a surprising connection between cubic threefolds and the well-known regular matroid ${R}_{10}$ by making use of intermediate Jacobians of cubic threefolds realized as Prym varieties. As a corollary we obtain a new proof of the nonrationality of generic cubic threefolds.

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Additional Information:

Tawanda Gwena
Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602

DOI: 10.1090/S0002-9939-04-07689-0
PII: S 0002-9939(04)07689-0
Received by editor(s): April 17, 2003
Received by editor(s) in revised form: January 29, 2004
Posted: November 22, 2004
Communicated by: Michael Stillman
Copyright of article: Copyright 2004, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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