44 citations · 54 across the 14 of their papers we have counts for
11 papers · 1 filter
The dimension threshold for Batyrev's non-negativity conjecture on stringy Hodge numbers
Jiahui Huang, Matthew Satriano
Batyrev's non-negativity conjecture has been a major guiding conjecture in mirror symmetry, motivic integration, and the McKay correspondence. We show the conjecture is true in dim…
McKay correspondence for linearly reductive finite group schemes in positive characteristic
Matthew Satriano, Jeremy Usatine
We obtain a motivic and a cohomological McKay correspondence for finite linearly reductive group schemes in arbitrary characteristic. In particular, we prove that if is a finit…
A counter-example to Batyrev's conjecture on the non-negativity of stringy Hodge numbers
Matthew Satriano, Jeremy Usatine
Batyrev's conjecture on the non-negativity of stringy Hodge numbers has been a fundamental open problem, guiding and motivating many beautiful mathematical results in motivic integ…
Approximating rational points on surfaces
Brian Lehmann, David McKinnon, Matthew Satriano
Let be a smooth projective algebraic variety over a number field and in . In 2007, the second author conjectured that, in a precise sense, if rational points on $…
Motivic integration for singular Artin stacks
Matthew Satriano, Jeremy Usatine
Let be a birational modification of a variety by an Artin stack. In previous work, under the assumption that is smooth, we proved a change of vari…
Approximating rational points on horospherical varieties
Sean Monahan, Matthew Satriano
Let be a smooth projective split horospherical variety over a number field and . Contingent on Vojta's conjecture, we construct a curve through such that…