Degenerations of cubic threefolds and matroids
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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.References
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Additional Information
- Tawanda Gwena
- Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602
- Received by editor(s): April 17, 2003
- Received by editor(s) in revised form: January 29, 2004
- Published electronically: November 22, 2004
- Communicated by: Michael Stillman
- © Copyright 2004
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 1317-1323
- MSC (2000): Primary 14H40; Secondary 05B35, 14E08, 14D20
- DOI: https://doi.org/10.1090/S0002-9939-04-07689-0
- MathSciNet review: 2111937