Effectiveness of the log litaka fibration for 3-folds and 4-folds

Gueorgui Todorov; Chenyang Xu

doi:10.2140/ant.2009.3.697

Effectiveness of the log litaka fibration for 3-folds and 4-folds

Gueorgui Todorov, Chenyang Xu

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

11 Scopus citations

Abstract

We prove the effectiveness of the log litaka fibration in Kodaira codimension two for varieties of dimension ≤ 4. In particular, we finish the proof of effective log litaka fibration in dimension two. Also, we show that for the log litaka fibration, if the fiber is of dimension two, the denominator of the moduli part is bounded.

Original language	English (US)
Pages (from-to)	697-710
Number of pages	14
Journal	Algebra and Number Theory
Volume	3
Issue number	6
DOIs	https://doi.org/10.2140/ant.2009.3.697
State	Published - 2009
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Keywords

Boundedness
Litaka fibration

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10.2140/ant.2009.3.697

Cite this

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abstract = "We prove the effectiveness of the log litaka fibration in Kodaira codimension two for varieties of dimension ≤ 4. In particular, we finish the proof of effective log litaka fibration in dimension two. Also, we show that for the log litaka fibration, if the fiber is of dimension two, the denominator of the moduli part is bounded.",

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author = "Gueorgui Todorov and Chenyang Xu",

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AB - We prove the effectiveness of the log litaka fibration in Kodaira codimension two for varieties of dimension ≤ 4. In particular, we finish the proof of effective log litaka fibration in dimension two. Also, we show that for the log litaka fibration, if the fiber is of dimension two, the denominator of the moduli part is bounded.

KW - Boundedness

KW - Litaka fibration

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ER -

Effectiveness of the log litaka fibration for 3-folds and 4-folds

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

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