Graded Algebras in Algebraic Geometry

Aron Simis, Zaqueu Ramos

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Hardback

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English

De Gruyter
04 April 2022

Algebra; Geometry; Algebraic geometry

Series: De Gruyter Expositions in Mathematics

The objective of this book is to look at certain commutative graded algebras that appear frequently in algebraic geometry. By studying classical constructions from geometry from the point of view of modern commutative algebra, this carefully-written book is a valuable source of information, offering a careful algebraic systematization and treatment of the problems at hand, and contributing to the study of the original geometric questions. In greater detail, the material covers aspects of rational maps (graph, degree, birationality, specialization, combinatorics), Cremona transformations, polar maps, Gauss maps, the geometry of Fitting ideals, tangent varieties, joins and secants, Aluffi algebras. The book includes sections of exercises to help put in practice the theoretic material instead of the mere complementary additions to the theory.

By: Aron Simis, Zaqueu Ramos
Imprint: De Gruyter
Country of Publication: Germany
Dimensions: Height: 240mm, Width: 170mm,
Weight: 876g
ISBN: 9783110637540
ISBN 10: 3110637545
Series: De Gruyter Expositions in Mathematics
Pages: 464
Publication Date: 04 April 2022
Audience: Professional and scholarly , Undergraduate , Undergraduate
Format: Hardback
Publisher's Status: Active

Aron Simis, Federal University of Pernambuco, Brazil; Zaqueu Alves Ramos, Cidade Universitária Prof. Aloísio Campo, Brazil.