Ampleness of intersections of translates of theta divisors in an abelian fourfold
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- by O. Debarre and E. Izadi PDF
- Proc. Amer. Math. Soc. 135 (2007), 3477-3483 Request permission
Abstract:
We prove the ampleness of the cotangent bundle of the intersection of two general translates of a theta divosor of the Jacobian of a general curve of genus $4$. From this, we deduce the same result in a general, principally polarized abelian variety of dimension $4$.References
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Additional Information
- O. Debarre
- Affiliation: IRMA – Mathématique, Université Louis Pasteur, 7 rue René Descartes, 67084 Strasbourg Cedex, France
- MR Author ID: 55740
- Email: debarre@math.u-strasbg.fr
- E. Izadi
- Affiliation: Department of Mathematics, Boyd Graduate Studies Research Center, University of Georgia, Athens, Georgia 30602-7403
- MR Author ID: 306461
- Email: izadi@math.uga.edu
- Received by editor(s): June 23, 2005
- Received by editor(s) in revised form: August 21, 2006
- Published electronically: June 29, 2007
- Additional Notes: This work was done while O. Debarre was visiting the Department of Mathematics of the University of Georgia, at the invitation of E. Izadi. He is grateful to E. Izadi for her hospitality. Both authors are grateful to the University of Georgia for its support.
- Communicated by: Michael Stillman
- © Copyright 2007 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 135 (2007), 3477-3483
- MSC (2000): Primary 14K12; Secondary 14M10, 14F10
- DOI: https://doi.org/10.1090/S0002-9939-07-08964-2
- MathSciNet review: 2336560