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10 papers
A differential analogue of the wild automorphism conjecture
Jason Bell, Colin Ingalls, Rahim Moosa +1
A differential analogue of the conjecture of Reichstein, Rogalski, and Zhang in algebraic dynamics is here established: if is a projective variety over an algebraically closed…
Extending the Torelli map to alternative compactifications of the moduli space of curves
Changho Han, Jesse Leo Kass, Matthew Satriano
Determining the limiting behaviour of the Jacobian as the underlying curve degenerates has been the subject of much interest. For nodal singularities, there are beautiful construct…
Beyond twisted arcs: a McKay correspondence for reductive groups
Matthew Satriano, Jeremy Usatine
We introduce a natural generalization of twisted maps, called \emph{warped maps}. While twisted maps play an important role in the study of Deligne--Mumford stacks, warped maps are…
A cohomological interpretation for stringy Hodge numbers
Jiahui Huang, Matthew Satriano, Jeremy Usatine
We obtain a cohomological interpretation for Batyrev's stringy Hodge numbers in the full generality in which they are defined. In a previous paper, the second and third authors use…
Root stack valuative criterion for good moduli spaces
Dori Bejleri, Giovanni Inchiostro, Matthew Satriano
We prove a root stack valuative criterion for good moduli space maps and for gerbes for reductive groups under some mild assumptions on the residue characteristic. We give several…
An arithmetic analog of Klein's classification of finite subgroups of
Christian Liedtke, Matthew Satriano
Let be a number field with ring of integers . We describe and classify finite, flat, and linearly reductive subgroup schemes of over $\mathrm{Spe…