Families of stable 3-folds in positive characteristic

János Kollár

doi:10.46298/EPIGA.2023.VOLUME7.9730

Families of stable 3-folds in positive characteristic

János Kollár

Mathematics

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

Abstract

We show that flat families of stable 3-folds do not lead to proper moduli spaces in any characteristic p > 0. As a byproduct, we obtain log canonical 4-fold pairs, whose log canonical centers are not weakly normal.

Original language	English (US)
Pages (from-to)	1-11
Number of pages	11
Journal	Epijournal de Geometrie Algebrique
Volume	7
DOIs	https://doi.org/10.46298/EPIGA.2023.VOLUME7.9730
State	Published - 2023

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Geometry and Topology

Keywords

3-fold
Stable family
canonical model
moduli
positive characteristic

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10.46298/EPIGA.2023.VOLUME7.9730

Cite this

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title = "Families of stable 3-folds in positive characteristic",

abstract = "We show that flat families of stable 3-folds do not lead to proper moduli spaces in any characteristic p > 0. As a byproduct, we obtain log canonical 4-fold pairs, whose log canonical centers are not weakly normal.",

keywords = "3-fold, Stable family, canonical model, moduli, positive characteristic",

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

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year = "2023",

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AU - Kollár, János

N1 - Publisher Copyright: © by the author(s)

PY - 2023

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N2 - We show that flat families of stable 3-folds do not lead to proper moduli spaces in any characteristic p > 0. As a byproduct, we obtain log canonical 4-fold pairs, whose log canonical centers are not weakly normal.

AB - We show that flat families of stable 3-folds do not lead to proper moduli spaces in any characteristic p > 0. As a byproduct, we obtain log canonical 4-fold pairs, whose log canonical centers are not weakly normal.

KW - 3-fold

KW - Stable family

KW - canonical model

KW - moduli

KW - positive characteristic

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JO - Epijournal de Geometrie Algebrique

JF - Epijournal de Geometrie Algebrique

ER -

Families of stable 3-folds in positive characteristic

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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