Notes on Cohomological Finite Generation for Finite Group Schemes

Fuente: arXiv
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Hauptverfasser: Goméz, Juan Omar, Parker, Chris J.
Format: Preprint
Veröffentlicht: 2025
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_version_ 1866916987320401920
author Goméz, Juan Omar
Parker, Chris J.
author_facet Goméz, Juan Omar
Parker, Chris J.
contents These are extended notes based on lectures given by Vincent Franjou, Paul Sobaje, Peter Symonds and Antoine Touzé at the Master Class on New Developments in Finite Generation of Cohomology that took place at Bielefeld University in September 2023. Their aim to give a panoramic overview of van der Kallen's recent result on the finite generation of cohomology for finite group schemes over an arbitrary Noetherian base, bringing together the many papers that this theorem relies on, and supplying the necessary background and exposition.
format Preprint
id arxiv_https___arxiv_org_abs_2510_02908
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Notes on Cohomological Finite Generation for Finite Group Schemes
Goméz, Juan Omar
Parker, Chris J.
Representation Theory
Commutative Algebra
Algebraic Geometry
20G10, 20G05, 16T05, 14L15, 13A50
These are extended notes based on lectures given by Vincent Franjou, Paul Sobaje, Peter Symonds and Antoine Touzé at the Master Class on New Developments in Finite Generation of Cohomology that took place at Bielefeld University in September 2023. Their aim to give a panoramic overview of van der Kallen's recent result on the finite generation of cohomology for finite group schemes over an arbitrary Noetherian base, bringing together the many papers that this theorem relies on, and supplying the necessary background and exposition.
title Notes on Cohomological Finite Generation for Finite Group Schemes
topic Representation Theory
Commutative Algebra
Algebraic Geometry
20G10, 20G05, 16T05, 14L15, 13A50
url https://arxiv.org/abs/2510.02908