Algebraic geometry

point of an algebraic variety, which has no other property than those that are shared by all other points, or, in scheme theory, a point that contains all other points

measure of the arithmetic complexity of a rationa point on an abelian variety

research proposal by A. Grothendieck

a set of orthonormal bases, where each vector of a given basis has the same overlap with all the vectors of other bases

the study of the topology of a complex manifold by looking at the critical points of a holomorphic function on the manifold

homogeneous polynomial of degree 3

algorithm

family of orthogonal symmetric polynomials in several variables introduced by Macdonald

differential associative algebra with integer grading in which the differential has grading +1 (cohomological convention) or −1 (homological convention)

two closely related mathematical subjects

branch of birational geometry aiming to construct the simplest birational model of a projective variety

branch of finite geometry

generalization (and categorification) of a sheaf; a fibered category that admits effective descent

Theory in physics

root-finding algorithms for common roots of several multivariate polynomials

scheme that admits a finite covering by open affine subsets

Connection on a vector bundle

mathematical concept