90 citations · 435 across the 39 of their papers we have counts for
39 papers
Non-commutative resolutions of linearly reductive quotient singularities
Christian Liedtke, Takehiko Yasuda
We prove existence of non-commutative crepant resolutions (in the sense of van den Bergh) of quotient singularities by finite and linearly reductive group schemes in positive chara…
F-blowups and essential divisors for toric varieties
Enrique Chávez-Martínez, Daniel Duarte, Takehiko Yasuda
We investigate the relation between essential divisors and F-blowups, in particular, address the problem whether all essential divisors appear on the -th F-blowup for large enou…
Log Centres of Noncommutative Crepant Resolutions are Kawamata Log Terminal: Remarks on a paper of Stafford and van den Bergh
Colin Ingalls, Takehiko Yasuda
We show that if a finitely generated prime algebra is a finitely generated maximal Cohen-Macaulay module over its centre , and has global dimension equal to , then t…
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…
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…
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…