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arXiv · 1505.01931

A recollement approach to Geigle-Lenzing weighted projective varieties

Boris Lerner·Steffen Oppermann
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Abstract

We introduce a new method for expanding an abelian category and study it using recollements. In particular, we give a criterion for the existence of cotilting objects. We show, using techniques from noncommutative algebraic geometry, that our construction encompasses the category of coherent sheaves on Geigle-Lenzing weighted projective lines. We apply our construction to some concrete examples and obtain new weighted projective varieties and analyse the endomorphism algebras of their tilting bundles.

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Boris Lerner, Steffen Oppermann. 2015-05-08. A recollement approach to Geigle-Lenzing weighted projective varieties. https://arxiv.org/abs/1505.01931

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