Algebraic geometry over the complex numbers
This textbook is a strong addition to existing introductory literature on algebraic geometry. The author s treatment combines the study of algebraic geometry with differential and complex geometry and unifies these subjects using sheaf-theoretic ideas. It is also an ideal text for showing students t...
保存先:
| 第一著者: | |
|---|---|
| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| 版: | 1st ed. 2012. |
| シリーズ: | Universitext
|
| 主題: | |
| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 注記: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Algebraic geometry over the complex numbers, Donu Arapura, New York, Springer, 2012, 1 vol. (XII-329 p.), Universitext, 978-1-4614-1808-5 • Algebraic geometry over the complex numbers, Donu Arapura, New York, Springer, 2012, 1 vol. (XII-329 p.), Universitext, 978-1-4614-1808-5 • Algebraic Geometry over the Complex Numbers, Texte imprimé, 9781461418108 |
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| 041 | 0 | |a eng | |
| 082 | |a 516.35 | ||
| 100 | 1 | |a Arapura, Donu, |d 1958- | |
| 245 | 1 | 0 | |a Algebraic geometry over the complex numbers |c Donu Arapura. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Universitext |x 2191-6675 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Preface 1. Plane Curves 2. Manifolds and Varieties via Sheaves 3. More Sheaf Theory 4. Sheaf Cohomology 5. de Rham Cohomoloy of Manifolds 6. Riemann Surfaces 7. Simplicial Methods 8. The Hodge Theorem for Riemann Manifolds 9. Toward Hodge Theory for Complex Manifolds 10. Kahler Manifolds 11. A Little Algebraic Surface Theory 12. Hodge Structures and Homological Methods 13. Topology of Families 14. The Hard Lefschez Theorem 15. Coherent Sheaves 16. Computation of Coherent Sheaves 17. Computation of some Hodge numbers 18. Deformation Invariance of Hodge Numbers 19. Analogies and Conjectures.- References Index | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This textbook is a strong addition to existing introductory literature on algebraic geometry. The author s treatment combines the study of algebraic geometry with differential and complex geometry and unifies these subjects using sheaf-theoretic ideas. It is also an ideal text for showing students the connections between algebraic geometry, complex geometry, and topology, and brings the reader close to the forefront of research in Hodge theory and related fields. Unique features of this textbook: - Contains a rapid introduction to complex algebraic geometry - Includes background material on topology, manifold theory and sheaf theory - Analytic and algebraic approaches are developed somewhat in parallel The presentation is easy going, elementary, and well illustrated with examples. Algebraic Geometry over the Complex Numbers is intended for graduate level courses in algebraic geometry and related fields. It can be used as a main text for a second semester graduate course in algebraic geometry with emphasis on sheaf theoretical methods or a more advanced graduate course on algebraic geometry and Hodge Theory | ||
| 650 | |a Nombres complexes | ||
| 650 | |a Géométrie algébrique | ||
| 776 | 0 | |0 16074752X |t Algebraic geometry over the complex numbers |f Donu Arapura |c New York |n Springer |d 2012 |p 1 vol. (XII-329 p.) |s Universitext |z 978-1-4614-1808-5 | |
| 776 | 0 | |0 16074752X |t Algebraic geometry over the complex numbers |f Donu Arapura |c New York |n Springer |d 2012 |p 1 vol. (XII-329 p.) |s Universitext |z 978-1-4614-1808-5 | |
| 776 | 0 | |t Algebraic Geometry over the Complex Numbers |b Texte imprimé |z 9781461418108 | |
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