Marc Stephan

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20212025

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math.AC2024

An equivariant BGG correspondence and perfect complexes for extensions by $Z /2 \times Z /2$

Henrik Rüping, Marc Stephan

We provide an equivariant extension of Carlsson's BGG correspondence in characteristic two. As an application we classify perfect cochain complexes of $(\mathbb{Z}/2\times \mathbb{…

math.AC2021

Automorphisms of the Koszul homology of a local ring

Srikanth B. Iyengar, Henrik Rüping, Marc Stephan

This work concerns the Koszul complex $K$ of a commutative noetherian local ring $R$ , with its natural structure as differential graded $R$ -algebra. It is proved that under diverse…

An equivariant BGG correspondence and perfect complexes for extensions by Z/2×Z/2

Automorphisms of the Koszul homology of a local ring

An equivariant BGG correspondence and perfect complexes for extensions by $Z /2 \times Z /2$