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June 2012 On the normal bundles of rational curves on Fano 3-folds
Mingmin Shen
Asian J. Math. 16(2): 237-270 (June 2012).

Abstract

A component of very free rational curves on a variety is called unbalanced if the normal bundle of a general member is unbalanced. In this paper we show that all components of very free rational curves on a Fano threefold of Picard number one are balanced with the only exception being the space of conics on $\mathbb{P}^3$.

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Mingmin Shen. "On the normal bundles of rational curves on Fano 3-folds." Asian J. Math. 16 (2) 237 - 270, June 2012.

Information

Published: June 2012
First available in Project Euclid: 9 April 2012

zbMATH: 1253.14048
MathSciNet: MR2916363

Subjects:
Primary: 14D15 , 14M22

Keywords: Fano threefolds , Rational curves

Rights: Copyright © 2012 International Press of Boston

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Vol.16 • No. 2 • June 2012
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