La théorie du polynôme de Bernstein-Sato pour les algèbres de Tate et de Dwork-Monsky-Washnitzer
Le théorème de comparaison entre cohomologies de de Rham d'une variété algébrique complexe et le théorème d'existence de Riemann
Le théorème de l'indice relatif
Les suites spectrales associées au complexe de de Rham-Witt
Linear free divisors and the global logarithmic comparison theorem
A complex hypersurface in is a linear free divisor (LFD) if its module of logarithmic vector fields has a global basis of linear vector fields. We classify all LFDs for at most .By analogy with Grothendieck’s comparison theorem, we say that the global logarithmic comparison theorem (GLCT) holds for if the complex of global logarithmic differential forms computes the complex cohomology of . We develop a general criterion for the GLCT for LFDs and prove that it is fulfilled whenever the...
Local factorization of determinants of twisted DR cohomology groups
Localization of differential operators and of higher order de Rham complexes
Logarithmic differential operators and logarithmic de Rham complexes relative to a free divisor