A royal road to algebraic geometry
Audun Holme
Bok · Engelsk · 2012
| Omfang | xiii, 364 sider : illustrasjoner
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| Opplysninger | "Creative episodes in its history" -- Baksiden av omslaget. - Pt. I: Curves -- 1. Affine and Projective Space -- 2. Curves in A² [subscript k] and in P² [subscript k] -- 3. Higher Geometry in the Projective Plane -- 4. Plane Curves and Algebra -- 5. Projective Varieties in P [ superscript] N [subscript] k -- Pt. II: Introduction to Grothendieck's Theory of Schemes -- 6. Categories and Functors -- 7. Constructions and Representable -- 8. Abelian Categories -- 9. The Concept of Spec(A) -- 10. The Category of Schemes -- 11. Properties of Morphisms of Schemes -- 12. Modules, Algebras and Bundles on a. Scheme -- 13. More Properties of Morphisms, Scheme Theoretic Image and the "Sorite" -- 14. Projective Schemes and Bundles -- 15. Further Properties of Morphisms -- 16. Conormal Sheaf and Projective Bundles -- 17. Cohomology Theory on Schemes -- 18. Intersection Theory -- 19. Characteristic Classes in Algebraic Geometry -- 20. The Riemann-Roch Theorem -- 21. Some Basic Constructions in the Category of Projective k--- 22. More on Duality.
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| Emner | |
| Dewey | |
| ISBN | 9783642192241
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