Clemens' conjecture: part I
Algebraic Geometry
2011-07-26 v4
Abstract
This is a series of two papers in which we solve the Clemens conjecture: there are only finitely many smooth rational curves of each degree in a generic quintic threefold. In this first paper, we deal with a family of smooth Calabi-Yau threefolds f_\epsilon for a small complex number \epsilon. We give an geometric obstruction, deviated quasi-regular deformations B_b of c_\epsilon, to a deformation of the rational curve c_\epsilon in a Calabi-Yau threefold f_\epsilon.
Cite
@article{arxiv.math/0511312,
title = {Clemens' conjecture: part I},
author = {Bin Wang},
journal= {arXiv preprint arXiv:math/0511312},
year = {2011}
}
Comments
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