Quotients of schemes by αp or μp actions in characteristic p> 0
Ημερομηνία
2017Source
Manuscripta MathematicaVolume
152Issue
1-2Pages
247-279Google Scholar check
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Εμφάνιση πλήρους εγγραφήςΕπιτομή
This paper studies integral schemes X defined over a field of characteristic p> 0 which admit a nontrivial αp or μp action. In particular, the quotient map X→ Y is investigated and structure theorems for it are obtained. Moreover, information on local properties of the quotient Y, like singularities and local Picard groups as well as an adjunction formula for the quotient map are also obtained. © 2016, Springer-Verlag Berlin Heidelberg.