Higher fano manifolds and rational surfaces

A. J. De Jong; Jason Starr

doi:10.1215/S0012-7094-07-13914-0

Higher fano manifolds and rational surfaces

A. J. De Jong
, Jason Starr

Mathematics

Columbia University

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

Let X be a Fano manifold of pseudo-index at least 3 such that c ₁(X)² - 2c₂(X) is nef. Irreducibility of some spaces of rational curves on X implies that a general point of X is contained in a rational surface.

Original language	English
Pages (from-to)	173-183
Number of pages	11
Journal	Duke Mathematical Journal
Volume	139
Issue number	1
DOIs	https://doi.org/10.1215/S0012-7094-07-13914-0
State	Published - Jul 15 2007

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Higher fano manifolds and rational surfaces

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