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Karen Ellen Smith (born 1965 in Red Bank, New Jersey) [1] is an American mathematician, specializing in commutative algebra and algebraic geometry. She completed her bachelor's degree in mathematics at Princeton University before earning her PhD in mathematics at the University of Michigan in 1993. Currently she is the Keeler Professor of ...
Baker, Henry Frederick (1933), Principles of geometry. Volume 6. Introduction to the theory of algebraic surfaces and higher loci., Cambridge Library Collection, Cambridge University Press, ISBN 978-1-108-01782-4, MR 2850141 [7] Abel's theorem and the allied theory, including the theory of the theta functions (Cambridge: The University Press, 1897)
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.
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.
Algebraic geometry became an autonomous subfield of geometry c. 1900, with a theorem called Hilbert's Nullstellensatz that establishes a strong correspondence between algebraic sets and ideals of polynomial rings. This led to a parallel development of algebraic geometry, and its algebraic counterpart, called commutative algebra. [106]
Algebraic variety. Hypersurface; Quadric (algebraic geometry) Dimension of an algebraic variety; Hilbert's Nullstellensatz; Complete variety; Elimination theory; Gröbner basis; Projective variety; Quasiprojective variety; Canonical bundle; Complete intersection; Serre duality; Spaltenstein variety; Arithmetic genus, geometric genus, irregularity
159 The Role of Nonassociative Algebra in Projective Geometry, John R. Faulkner (2014, ISBN 978-1-4704-1849-6) 160 A Course in Analytic Number Theory, Marius Overholt (2014, ISBN 978-1-4704-1706-2) 161 Introduction to Tropical Geometry, Diane Maclagan, Bernd Sturmfels (2015, ISBN 978-0-8218-5198-2)
In mathematics, algebraic geometry and analytic geometry are two closely related subjects. While algebraic geometry studies algebraic varieties , analytic geometry deals with complex manifolds and the more general analytic spaces defined locally by the vanishing of analytic functions of several complex variables .
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