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arXiv · 1103.1073

On Eckl's pseudo-effective reduction map

Brian Lehmann
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Abstract

Suppose that X is a complex projective variety and L is a pseudo-effective divisor. A numerical reduction map is a quotient of X by all subvarieties along which L is numerically trivial. We construct two variants: the L-trivial reduction map and the pseudo-effective reduction map of [Eckl05]. We show that these maps capture interesting geometric properties of L and use them to analyze abundant divisors.

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Brian Lehmann. 2011-09-21. On Eckl's pseudo-effective reduction map. https://arxiv.org/abs/1103.1073

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