38 citations · 104 across the 18 of their papers we have counts for
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Local-global principle for groups of type An over semi global fields
V. Suresh
Let F be the function field of a curve over a complete discretely valued field K. Let G be a semisimple simply connected linear algebraic group over F of type An. We give a descrip…
Local-global principles for constant reductive groups over semi-global fields
Jean-Louis Colliot-Thélène, David Harbater, Julia Hartmann +3
We study local-global principles for torsors under reductive linear algebraic groups over semi-global fields; i.e., over one variable function fields over complete discretely value…
Local triviality for G-torsors
Philippe Gille, Raman Parimala, V. Suresh
Let C Spec(R) be a relative proper flat curve over an henselian base. Let G be a reductive C-group scheme. Under mild technical assumptions, we show that a G-torsor o…
Local-Global Principles for Zero-Cycles on Homogeneous Spaces over Arithmetic Function Fields
Jean-Louis Colliot-Thélène, David Harbater, Julia Hartmann +3
We study the existence of zero-cycles of degree one on varieties that are defined over a function field of a curve over a complete discretely valued field. In particular, we show t…
Failure of the local-global principle for isotropy of quadratic forms over function fields
Asher Auel, V. Suresh
We prove the failure of the local-global principle, with respect to discrete valuations, for isotropy of quadratic forms over function fields of transcendence degree at least 2 ove…
Totaro's Question on Zero-Cycles on Torsors
Reed Gordon-Sarney, Venapally Suresh
Let be a smooth connected linear algebraic group and be a -torsor. Totaro asked: if admits a zero-cycle of degree , then does have a closed étale point…