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Graded Algebras in Algebraic Geometry

Graded Algebras in Algebraic Geometry

Hardcover

Series: de Gruyter Expositions in Mathematics, Book 70

AlgebraGeometry

ISBN10: 3110637545
ISBN13: 9783110637540
Publisher: De Gruyter
Published: Apr 4 2022
Pages: 464
Weight: 2.06
Height: 1.00 Width: 6.69 Depth: 9.61
Language: English

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.

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Algebra