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arXiv · 0711.0793

On Moduli Spaces for Abelian Categories

Vyacheslav Futorny·Marcos Jardim·Adriano Moura
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Abstract

We show that if A is an abelian category satisfying certain mild conditions, then one can introduce the concept of a moduli space of (semi)stable objects which has the structure of a projective algebraic variety. This idea is applied to several important abelian categories in representation theory, like highest weight categories.

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Vyacheslav Futorny, Marcos Jardim, Adriano Moura. 2007-11-06. On Moduli Spaces for Abelian Categories. https://arxiv.org/abs/0711.0793

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