English

Abel-Jacobi maps associated to smooth cubic threefolds

Algebraic Geometry 2007-05-23 v1

Abstract

We pose some questions about spaces parametrizing rational curves on rationally connected varieties. We give a partial answer for cubic threefolds. Many of our results were previously proved by Iliev, Markushevich and Tikhimirov by analyzing vector bundles on cubic threefolds. Our proofs use residuation rather than vector bundles.

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Cite

@article{arxiv.math/0202080,
  title  = {Abel-Jacobi maps associated to smooth cubic threefolds},
  author = {Joe Harris and Mike Roth and Jason Starr},
  journal= {arXiv preprint arXiv:math/0202080},
  year   = {2007}
}

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26 pages