Let X be a separated scheme of finite type on a field k, the characteristic of k being assumed not equal to 2. We construct a duality for complexes of sheaves of Ox modules with maps differential operators of order ≤ 1. This theory is an extension of the theory built by R. Hartshorne for complexes with linear maps.
@article{urn:eudml:doc:42287,
title = {Dualit\'e dans la cat\'egorie des complexes filtr\'es d'op\'erateurs differentiels d'ordre $\leq$ 1.},
journal = {Collectanea Mathematica},
volume = {41},
year = {1990},
pages = {89-121},
zbl = {0751.14009},
mrnumber = {MR1149647},
language = {fr},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42287}
}
Du Bois, Philippe. Dualité dans la catégorie des complexes filtrés d'opérateurs differentiels d'ordre ≤ 1.. Collectanea Mathematica, Tome 41 (1990) pp. 89-121. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42287/