Arithmetic algebraic geometry : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Trento, Italy, June 24- July 2, 1991
@inproceedings{ColliotThlne1993ArithmeticAG, title={Arithmetic algebraic geometry : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held in Trento, Italy, June 24- July 2, 1991}, author={Jean-Louis Colliot-Th{\'e}l{\`e}ne and 加藤 和也 and Paul Vojta and Edoardo Ballico and Centro internazionale matematico estivo. Session and Centro internazionale matematico estivo}, year={1993} }
Cycles algebriques de torsion et K-theorie algebrique Cours au C.I.M.E., juin 1991.- Lectures on the approach to Iwasawa theory for Hasse-Weil L-functions via BdR. Part I.- Applications of arithmetic algebraic geometry to diophantine approximations.- Arithmetic algebraic geometry, Trento, Italy 1991.
3 Citations
The period-index problem for real surfaces
- MathematicsPublications mathématiques de l'IHÉS
- 2019
We study when the period and the index of a class in the Brauer group of the function field of a real algebraic surface coincide. We prove that it is always the case if the surface has no real points…
On Perrin-Riou's exponential map for $(\varphi, \Gamma)$-modules
- Mathematics
- 2016
Let $K / \mathbb{Q}_p$ be a finite Galois extension and $D$ a $(\varphi, \Gamma)$-module over the Robba-ring $B^{\dagger}_{\textrm{rig}, K}$. We give a generalization of the Bloch-Kato exponential…