Pierre Berthelot
Encyclopedia
Pierre Berthelot is a mathematician at the University of Rennes
. He developed crystalline cohomology
and rigid cohomology
.
University of Rennes
The University of Rennes was a French university located in the city of Rennes. It was established by the union of the 3 faculties of the city in 1885. In 1969, it was divided in two new universities:* the University of Rennes 1...
. He developed crystalline cohomology
Crystalline cohomology
In mathematics, crystalline cohomology is a Weil cohomology theory for schemes introduced by and developed by . Its values are modules over rings of Witt vectors over the base field....
and rigid cohomology
Rigid cohomology
In mathematics, rigid cohomology is a p-adic cohomology theory introduced by . It extends crystalline cohomology to schemes that need not be proper or smooth, and extends Monsky–Washnitzer cohomology to non-affine varieties....
.
Publications
- Berthelot, Pierre Cohomologie cristalline des schémas de caractéristique p>0. Lecture Notes in Mathematics, Vol. 407. Springer-Verlag, Berlin-New York, 1974. 604 pp.
- Berthelot, Pierre; Ogus, Arthur Notes on crystalline cohomology. Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1978. vi+243 pp. ISBN 0-691-08218-9