Introduction to algebraic geometry

Introduction -- A crash course in commutative algebra -- Ane varieties -- Projective varieties -- Regular and rational maps of quasi projective varieties -- Products -- The blow up of an ideal -- Finite maps of quasi projective varieties -- Dimension of quasi projective algebraic sets -- Zariski...

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1. Verfasser: Cutkosky, Steven Dale (VerfasserIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: Providence, Rhode Island American Mathematical Society 2018
Schriftenreihe:Graduate studies in mathematics 188
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Beschreibung
Zusammenfassung:Introduction -- A crash course in commutative algebra -- Ane varieties -- Projective varieties -- Regular and rational maps of quasi projective varieties -- Products -- The blow up of an ideal -- Finite maps of quasi projective varieties -- Dimension of quasi projective algebraic sets -- Zariski's main theorem -- Nonsingularity -- Sheaves -- Applications to regular and rational maps -- Divisors -- Dierential forms and the canonical divisor -- Schemes -- The degree of a projective variety -- Cohomology -- Curves -- An introduction to intersection theory -- Surfaces -- Ramication and etale maps -- Bertini's theorems and general fibers of maps
Beschreibung:Literaturverzeichnis: Seiten 469-476
Beschreibung:xii, 484 Seiten
ISBN:9781470435189
978-1-4704-3518-9