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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.
Learn the basic notions and techniques of modern algebraic geometry from Prof. Roman Bezrukavnikov. The course covers algebraic varieties, schemes, morphisms, and examples of curves and surfaces.
A classic textbook on algebraic geometry, covering varieties, schemes, cohomology, curves and surfaces. Written by a renowned expert and author of several research titles, it is suitable for graduate students and researchers.
Learn about plane curves, their degree, genus, tangent lines, dual curves, resultants, and Bézout's theorem. These are the first topics of a course on algebraic geometry at MIT.
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Learn the basics of algebraic geometry from Professor Mike Artin and Andrew Lin. Topics include affine and projective space, polynomial equations, zero loci, and examples.
To Hema, Ashok, and Maya. Preface. This book is an introductory course in algebraic geometry, proving most of the fundamental classical results of algebraic geometry. Algebraic geometry combines the intuition of geometry with the preci-sion of algebra.
A geometria algébrica é uma área da matemática que combina técnicas de álgebra abstrata, especialmente de álgebra comutativa, com a linguagem e os problemas da geometria. Ela ocupa um papel central na matemática moderna e possui várias conexões conceituais com áreas tão diversas quanto análise complexa, topologia e ...
