Étale dévissage, descent and pushouts of stacks - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: We show that the pushout of an \-etale morphism and an open immersion existsin the category of algebraic stacks and show that such pushouts behavesimilarly to the gluing of two open substacks. For example, quasi-coherentsheaves on the pushout can be described by a simple gluing procedure. We thenoutline a powerful d\-evissage method for representable \-etale morphisms usingsuch pushouts. We also give a variant of the d\-evissage method forrepresentable quasi-finite flat morphisms.



Author: David Rydh

Source: https://arxiv.org/







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