April 19, 20240 citationsOpen Access

Derived Completions for Equivariant Homotopy Algebraic K-Theory on Non-Regular Schemes

Equivariant Algebraic K-Theory and Derived completions II: the case of Equivariant Homotopy K-Theory and Equivariant K-Theory

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GCGunnar Carlsson RJRoy Joshua⋆PPPablo Pelaez

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Overview

Theoretical analysis establishes derived completion theorems for equivariant homotopy K-theory on singular schemes, highlighting extended reach across toric and spherical varieties.

Key Points

Derived completion theorems are established for equivariant homotopy algebraic K-theory on schemes without requiring classical regularity conditions.
Mathematical analysis applies to actions of all linear algebraic groups on normal quasi-projective schemes over fields, encompassing toric varieties.
Advances enable broad computations for spherical varieties and extend the Atiyah-Segal completion theorem to wider equivariant algebraic settings.

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Carlsson et al. (2024) studied this question.

synapsesocial.com/papers/68e6e76cb6db643587663140 https://doi.org/10.48550/arxiv.2404.13196

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April 19, 20240 citationsOpen Access

Derived Completions for Equivariant Homotopy Algebraic K-Theory on Non-Regular Schemes

Equivariant Algebraic K-Theory and Derived completions II: the case of Equivariant Homotopy K-Theory and Equivariant K-Theory

View Full Paper

Authors

GCGunnar Carlsson RJRoy Joshua⋆PPPablo Pelaez

Discussion

Member takes

Overview

Theoretical analysis establishes derived completion theorems for equivariant homotopy K-theory on singular schemes, highlighting extended reach across toric and spherical varieties.

Key Points

Derived completion theorems are established for equivariant homotopy algebraic K-theory on schemes without requiring classical regularity conditions.
Mathematical analysis applies to actions of all linear algebraic groups on normal quasi-projective schemes over fields, encompassing toric varieties.
Advances enable broad computations for spherical varieties and extend the Atiyah-Segal completion theorem to wider equivariant algebraic settings.

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Helpful

Bookmark

View Full Paper

Cite This Study

Carlsson et al. (2024) studied this question.

synapsesocial.com/papers/68e6e76cb6db643587663140 https://doi.org/10.48550/arxiv.2404.13196

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