- Luc
Illusie (French: [ilyzi]; born 1940) is a
French mathematician,
specializing in
algebraic geometry. His most
important work
concerns the
theory of...
- schemes),
Monique Hakim [fr] (relative
schemes and
classifying topos), Luc
Illusie (cotangent complex),
Michel Raynaud, Michèle Raynaud, Jean-Louis Verdier...
-
Intuitionistic type
theory ∞-topos
Quasitopos Geometric logic Generalized space Illusie 2004 Caramello,
Olivia (2016).
Grothendieck toposes as
unifying 'bridges'...
- in 1987
Pierre Deligne and Luc
Illusie gave a
purely algebraic proof of the
vanishing theorem in (Deligne &
Illusie 1987).
Their proof is
based on showing...
- pp. 306–358, MR 0269663,
archived from the
original (PDF) on 2022-02-08
Illusie, Luc (1975), "Report on
crystalline cohomology",
Algebraic geometry, Proc...
- 2006
Patrick Gérard[fr] 1961 1981 — — — Guy
Henniart 1953 1973 — — — Luc
Illusie 1940 1959 — — —
Pierre Julg 1959 1977 — — —
Gilles Lebeau 1954 1974 — —...
-
geometry (he was one of its
creators together with Jean-Marc
Fontaine and Luc
Illusie),
comparison conjectures,
special values of zeta
functions including applications...
-
pathologies related to p-torsion in
crystalline cohomology were
explored by Luc
Illusie (Ann. Sci. Ec. Norm. Sup. (4) 12 (1979), 501–661). In the
second Pathologies...
- it is
possible to
weaken the
hypothesis in the theorem; cf.
Illusie.
According to
Illusie (pg. 204), the
proof given in EGA III is due to Serre. The original...
-
makes sense for
varieties over a
field of
characteristic p>0.
Deligne &
Illusie (1987)
showed that for a
smooth proper scheme X over a
perfect field k...
