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math.NT2022
Quantitative inverse Galois problem for semicommutative finite group schemes
Ratko Darda, Takehiko Yasuda
A semicommutative finite group scheme is a finite group scheme which can be obtained from commutative finite group schemes by iterated performing semidirect products with commutati…
math.NT2022★ 1 cited
The Batyrev-Manin conjecture for DM stacks
Ratko Darda, Takehiko Yasuda
We define a new height function on rational points of a DM (Deligne-Mumford) stack over a number field. This generalizes a generalized discriminant of Ellenberg-Venkatesh, the heig…
math.NT2022★ 3 cited
Torsors for finite group schemes of bounded height
Ratko Darda, Takehiko Yasuda
Let be a global field. Let be a non trivial finite étale tame -group scheme. We define height functions on the set of -torsors over which generalize the usual he…