A recollement approach to Geigle-Lenzing weighted projective varieties

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...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Lerner, Boris, Oppermann, Steffen
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 08.05.2015
Subjects
Concrete construction
Sheaves
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:2331-8422