-
Alexander Grothendieck,
later Alexandre Grothendieck in
French (/ˈɡroʊtəndiːk/; German: [ˌalɛˈksandɐ ˈɡʁoːtn̩ˌdiːk] ; French: [ɡʁɔtɛndik]; 28
March 1928 –...
- In mathematics,
specifically in
algebraic geometry, the
Grothendieck–Riemann–Roch
theorem is a far-reaching
result on
coherent cohomology. It is a generalisation...
- In mathematics, a
Grothendieck universe is a set U with the
following properties: If x is an
element of U and if y is an
element of x, then y is also an...
- In mathematics, the
Grothendieck group, or
group of differences, of a
commutative monoid M is a
certain abelian group. This
abelian group is constructed...
- like the
category of sets and
possess a
notion of localization. The
Grothendieck topoi find
applications in
algebraic geometry, and more
general elementary...
- In
category theory, a
branch of mathematics, a
Grothendieck topology is a
structure on a
category C that
makes the
objects of C act like the open sets...
-
Examples of
results gleaned from the K-theory
approach include the
Grothendieck–Riemann–Roch theorem, Bott periodicity, the Atiyah–Singer
index theorem...
- In mathematics,
Grothendieck duality may
refer to:
Coherent duality of
coherent sheaves Grothendieck local duality of
modules over a
local ring This disambiguation...
- Marie") was an
influential seminar run by
French mathematician Alexander Grothendieck. It was a
unique phenomenon of
research and
publication outside of the...
- Dolbeault-
Grothendieck lemma Grothendieck's axioms Grothendieck category Grothendieck's comparison theorem Grothendieck's connectedness theorem Grothendieck connection...
