A Royal Road to algebraic geometry
This book is about modern algebraic geometry. The title A Royal Road to Algebraic Geometry is inspired by the famous anecdote about the king asking Euclid if there really existed no simpler way for learning geometry, than to read all of his work Elements. Euclid is said to have answered: There is no...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • A Royal road to algebraic geometry, Audun Holme, Berlin, Springer, 2012, 1 vol.(XIII-364 p.), 978-3-642-19224-1 |
Table des matières:
- Part I Curves: 1 Affine and Projective Space 2 Curves in A2 k and in P2 3 Higher Geometry in the Projective Plane 4 Plane Curves and Algebra 5 Projective Varieties in PNk Part II Introduction to Grothendieck s Theory of Schemes: 6 Categories and Functors 7 Constructions and Representable Functors 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 kvarieties 22 More on Duality References Index.