37 citations · 44 across the 7 of their papers we have counts for
9 papers · 1 filter
A motivic change of variables formula for Artin stacks
Matthew Satriano, Jeremy Usatine
Let be a birational map from a smooth Artin stack to a (possibly singular) variety. We prove a change of variables formula that relates motivic integrals over a…
On Dynamical Cancellation
Jason P. Bell, Yohsuke Matsuzawa, Matthew Satriano
Let be a projective variety and let be a dominant endomorphism of , both of which are defined over a number field . We consider a question of the second author, Meng,…
On curves with high multiplicity on for
David McKinnon, Rindra Razafy, Matthew Satriano +1
On a weighted projective surface with , we compute lower bounds for the {\em effective threshold} of an ample divisor, in other words, the hi…
Approximating rational points on toric varieties
David McKinnon, Matthew Satriano
Given a smooth projective variety over a number field and , the first author conjectured that in a precise sense, any sequence that approximates sufficiently…
A rational map with infinitely many points of distinct arithmetic degrees
John Lesieutre, Matthew Satriano
Let be a dominant rational self-map of a smooth projective variety defined over . For each point …
Galois closures of non-commutative rings and an application to Hermitian representations
Wei Ho, Matthew Satriano
Galois closures of commutative rank n ring extensions were introduced by Bhargava and the second author. In this paper, we generalize the construction to the case of non-commutativ…