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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Format: | UnknownFormat |
Sprache: | eng |
Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
2018
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Schriftenreihe: | Graduate studies in mathematics
188 |
Schlagworte: | |
Online Zugang: | Inhaltsverzeichnis Inhaltstext |
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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 |
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Beschreibung: | Literaturverzeichnis: Seiten 469-476 |
Beschreibung: | xii, 484 Seiten |
ISBN: | 9781470435189 978-1-4704-3518-9 |