Spaces of rational curves in complete intersections

Beheshti, Roya ; Mohan Kumar, N. (2001) Spaces of rational curves in complete intersections Arxiv-eprints . pp. 1-24.

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Official URL: http://arxiv.org/pdf/1101.3797v1.pdf

Abstract

We prove that the space of smooth rational curves of degree e in a general complete intersection of multidegree (d1,...., dm) in Pn is irreducible of the expected dimension if Σi=1m di < 2n/3 and n is large enough. This generalizes the results of Harris, Roth and Starr, and is achieved by proving that the space of conics passing through any point of a general complete intersection has constant dimension if Σi=1m di is small compared to n.

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Source:Copyright of this article belongs to Arxiv Publications.
ID Code:72299
Deposited On:23 Jun 2012 14:06
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