Online-Ressource
Verfasst von:	Simis, Aron [VerfasserIn]
	Ramos, Zaqueu [VerfasserIn]
Titel:	Graded algebras in algebraic geometry
Verf.angabe:	Aron Simis, Zaqueu Ramos
Verlagsort:	Berlin
Verlag:	De Gruyter
E-Jahr:	2022
Jahr:	[2022]
Umfang:	1 Online-Ressource (XV, 445 Seiten)
Illustrationen:	Illustrationen
Gesamttitel/Reihe:	De Gruyter expositions in mathematics ; volume 70
Ang. zum Inhalt:	Frontmatter
	Acknowledgments
	Foreword
	Contents
	1 Geometric motivation
	2 Graded algebras
	3 Rational maps, I
	4 Rational maps, II
	5 The gradient ideal
	6 Cremona transformations, I
	7 Cremona transformations, II
	8 Steps in elimination
	9 The Gauss map
	10 Tangent varieties
	11 Embedded joins and secants
	12 Aluffi algebras
	Bibliography
	Index
ISBN:	978-3-11-064069-4
Abstract:	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
DOI:	doi:10.1515/9783110640694
URL:	Resolving-System: https://doi.org/10.1515/9783110640694
	Verlag: https://www.degruyter.com/isbn/9783110640694
	Cover: https://www.degruyter.com/document/cover/isbn/9783110640694/original
	zbMATH: https://zbmath.org/?q=an%3A7438189
	DOI: https://doi.org/10.1515/9783110640694
Schlagwörter:	(s)Algebraische Geometrie    / (s)Kommutative Algebra    / (s)Graduierter Ring
Datenträger:	Online-Ressource
Sprache:	eng
Bibliogr. Hinweis:	Erscheint auch als : Druck-Ausgabe: Simis, Aron, 1942 - : Graded algebras in algebraic geometry. - Berlin : De Gruyter, 2022. - XV, 445 Seiten
RVK-Notation:	SK 240
Sach-SW:	Algebraische Geometrie
	Graduierter Modul
	Graduierter Ring
	Kommutative Algebra
	Schnitt ‹Mathematik›
	MATHEMATICS / Algebra / Abstract
K10plus-PPN:	1798068192
Verknüpfungen:	→ Übergeordnete Aufnahme
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Lokale URL UB:	Zum Volltext