Rigid Cohomology (Cambridge Tracts in Mathematics) by Bernard Le Stum
Rigid Cohomology (Cambridge Tracts in Mathematics) by Bernard Le Stum
Cambridge University Press; 1 edition | September 17, 2007 | English | ISBN: 0521875242 | 337 pages | PDF | 1 MB
Cambridge University Press; 1 edition | September 17, 2007 | English | ISBN: 0521875242 | 337 pages | PDF | 1 MB
Dating back to work of Berthelot, rigid cohomology appeared as a common generalization of Monsky-Washnitzer cohomology and crystalline cohomology. It is a p-adic Weil cohomology suitable for computing Zeta and L-functions for algebraic varieties on finite fields. Moreover, it is effective, in the sense that it gives algorithms to compute the number of rational points of such varieties.