On Eckl’s pseudo-effective reduction map

On Eckl’s pseudo-effective reduction map
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关于 Eckl 的伪有效约简图

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发表时间:
2011
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通讯作者:
Brian Lehmann
Brian Lehmann
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作者:
Brian Lehmann

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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.