Artin's axioms, composition and moduli spaces
Jason Michael Starr
Abstract
We prove Artin's axioms satisfy a compatibility for composition of 1-morphisms of stacks in groupoids. Consequently, some natural stacks in groupoids are algebraic, including a common generalization of Vistoli's Hilbert stack and the stack of branchvarieties of Alexeev and Knutson.
Create a lesson
Related papers
Morphism spaces on low degree hypersurfaces
Hrishabh Mishra
Connecting families of curves
Nathan Chen, Robert Lazarsfeld, Federico Moretti
The Last Picard Rank 1 Double-Mirror Calabi-Yau Pair?
Michał Kapustka, Marco Rampazzo, Prajwal Samal
Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers II
Connor Stewart
The Hurwitz existence problem in prime degree
Jijian Song, Hailin Wen, Zebao Zhang
Conductor-Discriminant Inequality for Tamely Ramified Cyclic Covers I
Andrew Obus, Padmavathi Srinivasan, Connor Stewart