An Introduction to Algebraic Geometry

Erscheinungsjahr 1997
ISBN: 978-0-8218-1144-3
Verlag: American Mathematical Society

Buch, Englisch, Band 166, 246 Seiten

Reihe: Translations of Mathematical Monographs

This introduction to algebraic geometry allows readers to grasp the fundamentals of the subject with only linear algebra and calculus as prerequisites. After a brief history of the subject, the book introduces projective spaces and projective varieties, and explains plane curves and resolution of their singularities. The volume further develops the geometry of algebraic curves and treats congruence zeta functions of algebraic curves over a finite field. It concludes with a complex analytical discussion of algebraic curves. The author emphasizes computation of concrete examples rather than proofs, and these examples are discussed from various viewpoints. This approach allows readers to develop a deeper understanding of the theorems.

Zielgruppe

Graduate students, research mathematicians, and mathematics educators interested in algebraic geometry

Autoren/Hrsg.

Nomizu, Katsumi

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

Invitation to algebraic geometry

Projective space and projective varieties

Algebraic curves

The analytic theory of algebraic curves

Commutative rings and fields (Appendix)

References

Index

Index for definitions, theorems, etc.