Abel-Jacobi maps associated to smooth cubic threefolds

Mathematics – Algebraic Geometry

Scientific paper

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26 pages

Scientific paper

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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