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

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

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