Deformations of Varieties of General Type

János Kollár

doi:10.1007/s00032-021-00339-6

Deformations of Varieties of General Type

János Kollár

Mathematics

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

3 Scopus citations

Abstract

We prove that small deformations of a projective variety of general type are also projective varieties of general type, with the same plurigenera.

Original language	English (US)
Pages (from-to)	345-354
Number of pages	10
Journal	Milan Journal of Mathematics
Volume	89
Issue number	2
DOIs	https://doi.org/10.1007/s00032-021-00339-6
State	Published - Dec 2021

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s00032-021-00339-6

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title = "Deformations of Varieties of General Type",

abstract = "We prove that small deformations of a projective variety of general type are also projective varieties of general type, with the same plurigenera.",

author = "J{\'a}nos Koll{\'a}r",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Seminario Matematico e Fisico di Milano.",

year = "2021",

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doi = "10.1007/s00032-021-00339-6",

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AB - We prove that small deformations of a projective variety of general type are also projective varieties of general type, with the same plurigenera.

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JO - Milan Journal of Mathematics

JF - Milan Journal of Mathematics

IS - 2

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Deformations of Varieties of General Type

Abstract

All Science Journal Classification (ASJC) codes

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