BibTex format
@unpublished{Pal:2018,
author = {Pal, A and Endre, S},
title = {The fibration method over real function fields},
url = {http://hdl.handle.net/10044/1/66466},
year = {2018}
}
Publications
Citation
RIS format (EndNote, RefMan)
TY - UNPB
AB - Let R(C) be the function field of a smooth, irreducible projective curve over R. Let X be a smooth, projective, geometrically irreducible variety equipped with a dominant morphism f onto a smooth projective rational variety with a smooth generic fibre over R(C). Assume that the cohomological obstruction introduced by Colliot-Thélène is the only one to the local-global principle for rational points for the smooth fibres of f over R(C)-valued points. Then we show that the same holds for X, too, by adopting the fibration method similarly to Harpaz--Wittenberg. We also show that the strong vanishing conjecture for n-fold Massey products holds for fields of virtual cohomological dimension at most 1 using a theorem of Haran.
AU - Pal,A
AU - Endre,S
PY - 2018///
TI - The fibration method over real function fields
UR - http://hdl.handle.net/10044/1/66466
ER -