Plane Algebraic Curves

C. Orzech (Autor)

Buch | Hardcover

240 Seiten

1981
Crc Press Inc (Verlag)
978-0-8247-1159-7 (ISBN)

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This book introduces the contemporary notions of algebraic varieties, morphisms of varieties, and adeles to the classical subject of plane curves over algebraically closed fields. It is useful for advanced undergraduate and beginning graduate students in mathematics.

C. Orzech

1. Prerequisites 2. Some Facts About Polynomials 3. Affine Plane Curves 4. Tangent Spaces 5. The Local Ring at a Point 6. Projective Plane Curves 7. Rational Mappings, Birational Correspondences and Isomorphisms of Curves 8. Examples of Rational Curves 9. The Correspondence between Valuations and Points 10. An Overview and Sideways Glance 11. Divisors 12. The Divisor of a Function Has Degree 13. Riemann's Theorem 14. The Genus of a Nonsingular Plane Curve 15. Curves of Genus 0 and 1 16. A Classification of Isomorphism Classes of Curves of Genus 1 17. The Genus of a Singular Curve 18. Inflection Points on Plane Curves 19. Bezout's Theorem 20. Addition on a Nonsingular Cubic 21. Derivations, Differentials and the Canonical Class 22. Adeles and the Riemann-Roch Theorem

Erscheint lt. Verlag	1.1.1981
Reihe/Serie	Chapman & Hall/CRC Pure and Applied Mathematics
Verlagsort	Bosa Roca
Sprache	englisch
Maße	156 x 234 mm
Gewicht	544 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-8247-1159-9 / 0824711599
ISBN-13	978-0-8247-1159-7 / 9780824711597
Zustand	Neuware