Birational Geometry of Rationally Connected Manifolds via Quasi-lines

Paltin Ionescu

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Birational Geometry of Rationally Connected Manifolds via Quasi-lines

Paltin Ionescu

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Abstract

This is, mostly, a survey of results about the birational geometry of rationally connected manifolds, using rational curves analogous to lines in ${\mathbb P}^n$ ({\it quasi-lines}). Various characterizations of a Zariski neighbourhood of a line in ${\mathbb P}^n$ are obtained, some of them being new. Also, methods of formal geometry are applied for deducing results of birational nature.

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Paltin Ionescu. 2005-02-08. Birational Geometry of Rationally Connected Manifolds via Quasi-lines. https://arxiv.org/abs/math/0502160

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