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Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems.Classically, it studies zeros of multivariate polynomials; the modern approach generalizes this in a few different aspects.
187 Introduction to Global Analysis: Minimal Surfaces in Riemannian Manifolds, John Douglas Moore (2017, ISBN 978-1-4704-2950-8) 188 Introduction to Algebraic Geometry, Steven Dale Cutkosky (2018, ISBN 978-1-4704-3518-9) 189 Characters of Solvable Groups, I. Martin Isaacs (2018, ISBN 978-1-4704-3485-4)
The Éléments de géométrie algébrique (EGA; from French: "Elements of Algebraic Geometry") by Alexander Grothendieck (assisted by Jean Dieudonné) is a rigorous treatise on algebraic geometry that was published (in eight parts or fascicles) from 1960 through 1967 by the Institut des Hautes Études Scientifiques.
Undergraduate Texts in Mathematics (UTM) (ISSN 0172-6056) is a series of undergraduate-level textbooks in mathematics published by Springer-Verlag.The books in this series, like the other Springer-Verlag mathematics series, are small yellow books of a standard size.
In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations acting on their elements. [1] Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras over a field.
This the algebraic translation of the preceding definition. The difference between n and the maximal length of the regular sequences contained in I. This is the algebraic translation of the fact that the intersection of n – d general hypersurfaces is an algebraic set of dimension d. The degree of the Hilbert polynomial of A.