On the behavior of the Kodaira dimension under smooth morphisms

Mihnea Popa; Christian Schnell

doi:10.14231/AG-2023-021

On the behavior of the Kodaira dimension under smooth morphisms

Mihnea Popa
, Christian Schnell

Mathematics

Harvard University

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

1 Scopus citations

Abstract

We prove several results on the additivity of the Kodaira dimension under smooth morphisms of smooth projective varieties.

Original language	English
Pages (from-to)	607-619
Number of pages	13
Journal	Algebraic Geometry
Volume	10
Issue number	5
DOIs	https://doi.org/10.14231/AG-2023-021
State	Published - 2023

Keywords

Kodaira dimension
varieties of general type
weak positivity

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10.14231/AG-2023-021

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title = "On the behavior of the Kodaira dimension under smooth morphisms",

abstract = "We prove several results on the additivity of the Kodaira dimension under smooth morphisms of smooth projective varieties.",

keywords = "Kodaira dimension, varieties of general type, weak positivity",

author = "Mihnea Popa and Christian Schnell",

note = "Publisher Copyright: {\textcopyright} This journal is Foundation Compositio Mathematica 2023. This article is distributed with Open Access under the terms of the Creative Commons Attribution Non-Commercial License, which permits non-commercial reuse, distribution, and reproduction in any medium, provided that the original work is properly cited. For commercial re-use, please contact the Foundation Compositio Mathematica.",

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AU - Schnell, Christian

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PY - 2023

Y1 - 2023

N2 - We prove several results on the additivity of the Kodaira dimension under smooth morphisms of smooth projective varieties.

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KW - varieties of general type

KW - weak positivity

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DO - 10.14231/AG-2023-021

M3 - Article

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JO - Algebraic Geometry

JF - Algebraic Geometry

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On the behavior of the Kodaira dimension under smooth morphisms

Abstract

Keywords

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