An introduction to Riemann surfaces, algebraic curves and moduli spaces
This lecture is intended as an introduction to the mathematical concepts of algebraic and analytic geometry. It is addressed primarily to theoretical physicists, in particular those working in string theories. The author gives a very clear exposition of the main theorems, introducing the necessary c...
Zapisane w:
| 1. autor: | |
|---|---|
| Format: | Livre numérique |
| Język: | Anglais |
| Wydane: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Seria: | Lecture notes in physics
322 |
| Hasła przedmiotowe: | |
| Dostęp online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Komentarz: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • An introduction to Riemann surfaces, algebraic curves and moduli spaces, Martin Schlichenmaier, 1989, Berlin, Springer-Verlag, 1 volume (xii-148 pages), Lecture notes in physics, 3-540-50124-X • An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces, Texte imprimé, 9783662137284 • An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces, Texte imprimé, 9783662137291 |
Spis treści:
- from a physicist's viewpoint
- Manifolds
- Topology of riemann surfaces
- Analytic structure
- Differentials and integration
- Tori and jacobians
- Projective varieties
- Moduli space of curves
- Vector bundles, sheaves and cohomology
- The theorem of riemann-roch for line bundles
- The mumford isomorphism on the moduli space.