(Co)homological vanishing for non-additive representations of a semi-additive category

Benachir El Allaoui

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arXiv · 2507.19317

(Co)homological vanishing for non-additive representations of a semi-additive category

Benachir El Allaoui

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Abstract

We show the vanishing of higher extension groups and torsion groups between linearisation of additive functors from a semi-additive category satisfying some conditions to a category of vector spaces. In particular, we apply our results to the category of correspondences functors of Bouc-Th\'evenaz.

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Benachir El Allaoui. 2025-07-25. (Co)homological vanishing for non-additive representations of a semi-additive category. https://arxiv.org/abs/2507.19317

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