Beginning in Algebraic Geometry

Inbunden, Engelska, 2025

Del i serien Undergraduate Texts in Mathematics

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Beskrivning

Beginning in Algebraic Geometry achieves a remarkable balance, offering a rigorous and detailed development of algebraic geometry that is nevertheless intended to be readable by students with only a first course in abstract algebra and linear algebra as prerequisites.

Produktinformation

Utgivningsdatum:2025-05-30
Mått:155 x 235 x 30 mm
Vikt:776 g
Format:Inbunden
Språk:Engelska
Serie:Undergraduate Texts in Mathematics
Antal sidor:421
Förlag:Springer International Publishing AG
ISBN:9783031888182

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Mer om författaren

Emily Clader is Associate Professor of Mathematics at San Francisco State University.Dustin Ross is Associate Professor of Mathematics at San Francisco State University.

Innehållsförteckning

0 Polynomial rings.- I. Affine Algebraic Geometry.- 1. Varieties and ideals.- 2 Irreducibility of affine varieties.- 3 Coordinate rings.- 4 Polynomial maps.- 5. Proof of the Nullstellensatz.- 6 Dimension.- 7 Smoothness.- 8 Products.- II Projective Algebraic Geometry.- 9 Projective varieties.- 10 Maps of projective varieties.- 11 Quasiprojective varieties.- 12 Culminating topics.- Coda: Where to go from here?.- Index.- Bibliography.