Freddy van Oystaeyen: Algebraic geometry for associative algebras, M. Dekker, New York, 2000, ISBN 0-8247-0424-X
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In the approach, the on-shell scattering process "tree" is described by a positive Grassmannian, a structure in algebraic geometry analogous to a convex polytope, that generalizes the idea of a simplex in projective space.
Examples of topologies include the Zariski topology in algebraic geometry that reflects the algebraic nature of varieties, and the topology on a differential manifold in differential topology where each point within the space is contained in an open set that is homeomorphic to an open ball in a finite-dimensional Euclidean space.
Its development was rapid in the years after 1950, when it was realised that sheaf cohomology was connected with more classical methods applied to the Riemann-Roch theorem, the analysis of a linear system of divisors in algebraic geometry, several complex variables, and Hodge theory.
Virgil Snyder (1869, Dixon, Iowa – 1950) was an American mathematician, specializing in algebraic geometry.
This formulation is analogous to the construction of the cotangent space to define the Zariski tangent space in algebraic geometry.
E.B. Vinberg, V.L. Popov, Invariant theory, in Algebraic geometry.
In 1942 he was lecturer in geometry (he had studied algebraic geometry under the guidance of Federigo Enriques and other Roman mathematicians).
In 1978 he was an invited speaker at the International Congress of Mathematicians in Helsinki (p-adic L functions, Serre-Tate local moduli and ratios of solutions of differential equations) and 1970 in Nice (The regularity theorem in algebraic geometry).
He obtained a subsequent research fellowship with Professor Francesco Severi in Rome to explore how algebraic geometry could be integrated into the theory of functions of several complex variables.
In the 1990s it became obvious that the lack of availability of the SGA was becoming more and more of a problem to researchers and graduate students in algebraic geometry: not only are the copies in book form too few for the growing number of researchers, but they are also difficult to read because of the way they are typeset (on an electric typewriter, with mathematical formulae written by hand).
Oda wrote "Algebraic Geometry, Sendai, 1985" with Hisasi Morikawa, a former professor at Nagoya University.
The mathematical treatment of type IIB string theory belongs to algebraic geometry, specifically the deformation theory of complex structures originally studied by Kunihiko Kodaira and Donald C. Spencer.
During 1964-1967 at the Forschungsinstitut für Mathematik at the ETH in Zurich he worked on the Category of Categories and was especially influenced by Pierre Gabriel's seminars at Oberwolfach on Grothendieck's foundation of algebraic geometry.
In his thesis, Messing elaborated on Grothendieck's 1970 lecture at the International Congress of Mathematicians in Nice on p-divisible groups (Barsotti–Tate groups) that are important in algebraic geometry in prime characteristic, which were introduced in the 1950s by Dieudonné in his study of Lie algebras over fields of finite characteristic.