Numerically finite hereditary categories with Serre duality

Adam-Christiaan van Roosmalen

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arXiv · 1304.0257

Numerically finite hereditary categories with Serre duality

Adam-Christiaan van Roosmalen

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Abstract

Let A be an abelian hereditary category with Serre duality. We provide a classification of such categories up to derived equivalence under the additional condition that the Grothendieck group modulo the radical of the Euler form is a free abelian group of finite rank. Such categories are called numerically finite, and this condition is satisfied by the category of coherent sheaves on a smooth projective variety.

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Adam-Christiaan van Roosmalen. 2013-03-31. Numerically finite hereditary categories with Serre duality. https://arxiv.org/abs/1304.0257

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