10 citations · 50 across the 20 of their papers we have counts for
22 papers
Demazure Models of Algebraic Tori in Dimension 4
Nicole Lemire
A Demazure model of an algebraic -torus split by a finite Galois extension of fields and splitting group is a smooth projective -toric variety…
The étale Brauer-Manin obstruction for classifying stacks
Ajneet Dhillon, Nicole Lemire, Jonathan Martin +1
We study the strong approximation for classifying stacks , where is a linear algebraic group over a number field . More specifically, we prove that the étale Brauer-Mani…
Algebraic Construction of Quasi-split Algebraic Tori
Armin Jamshidpey, Nicole Lemire, Eric Schost
The main purpose of this work is to give a constructive proof for a particular case of the no-name lemma. Let be a finite group, be a field, be a permutation -lattic…
Schubert cycles and subvarieties of generalized Severi-Brauer varieties
Caroline Junkins, Daniel Krashen, Nicole Lemire
We study twisted forms of Schubert cells in generalized Severi-Brauer varieties, and show that the codimension Chow groups of these varieties are torsion free in certain cases,…
Four-Dimensional Algebraic Tori
Nicole Lemire
The study of the birational properties of algebraic -tori began in the sixties and seventies with work of Voskresenkii, Endo, Miyata, Colliot-Thélène and Sansuc. There was parti…
Pushforwards of Tilting Sheaves
Ajneet Dhillon, Nicole Lemire, Youlong Yan
We investigate the behaviour of tilting sheaves under pushforward by a finite Galois morphism. We determine conditions under which such a pushforward of a tilting sheaf is a tiltin…