Nonabelian Jacobian of Projective Surfaces : Geometry and Representation Theory
The Jacobian of a smooth projective curve is undoubtedly one of the most remarkable and beautiful objects in algebraic geometry. This work is an attempt to develop an analogous theory for smooth projective surfaces - a theory of the nonabelian Jacobian of smooth projective surfaces.Just like its cla...
Αποθηκεύτηκε σε:
| Κύριος συγγραφέας: | |
|---|---|
| Μορφή: | Livre numérique |
| Γλώσσα: | Anglais |
| Έκδοση: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Έκδοση: | 1st ed. 2013. |
| Σειρά: | Lecture Notes in Mathematics
2072 |
| Θέματα: | |
| Διαθέσιμο Online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Σημείωση: |
L'impression du document génère 220 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Nonabelian Jacobian of projective surfaces, geometry and representation theory, Igor Reider, Heidelberg, Springer, 2013, 1 vol. (VIII-214 p.), Lecture notes in mathematics, 978-3-642-35661-2 • Nonabelian Jacobian of projective surfaces, geometry and representation theory, Igor Reider, Heidelberg, Springer, 2013, 1 vol. (VIII-214 p.), Lecture notes in mathematics, 978-3-642-35661-2 • Nonabelian Jacobian of Projective Surfaces, Texte imprimé, 9783642356636 |
| LEADER | 04140nam a22004337a 4500 | ||
|---|---|---|---|
| 001 | 946221 | ||
| 008 | 130507q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN169138763 | ||
| 020 | |a 9783642356629 | ||
| 041 | 0 | |a eng | |
| 082 | |a 516.35 | ||
| 084 | |a 14J60. 2010 | ||
| 084 | |a 14C05. 2010 | ||
| 084 | |a 16G30. 2010 | ||
| 100 | 1 | |a Reider, Igor, |d 19..- | |
| 245 | 1 | 0 | |a Nonabelian Jacobian of Projective Surfaces : |b Geometry and Representation Theory |c Igor Reider. |
| 250 | |a 1st ed. 2013. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Lecture Notes in Mathematics |v 2072 |x 1617-9692 | |
| 500 | |a L'impression du document génère 220 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. | ||
| 505 | 1 | |a 1 Introduction 2 Nonabelian Jacobian J(X; L; d): main properties 3 Some properties of the filtration H 4 The sheaf of Lie algebras G 5 Period maps and Torelli problems 6 sl2-structures on F 7 sl2-structures on G 8 Involution on G 9 Stratification of T 10 Configurations and theirs equations 11 Representation theoretic constructions 12 J(X; L; d) and the Langlands Duality | |
| 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 The Jacobian of a smooth projective curve is undoubtedly one of the most remarkable and beautiful objects in algebraic geometry. This work is an attempt to develop an analogous theory for smooth projective surfaces - a theory of the nonabelian Jacobian of smooth projective surfaces.Just like its classical counterpart, our nonabelian Jacobian relates to vector bundles (of rank 2) on a surface as well as its Hilbert scheme of points. But it also comes equipped with the variation of Hodge-like structures, which produces a sheaf of reductive Lie algebras naturally attached to our Jacobian. This constitutes a nonabelian analogue of the (abelian) Lie algebra structure of the classical Jacobian. This feature naturally relates geometry of surfaces with the representation theory of reductive Lie algebras/groups.This work s main focus is on providing an in-depth study of various aspects of this relation. It presents a substantial body of evidence that the sheaf of Lie algebras on the nonabelian Jacobian is an efficient tool for using the representation theory to systematically address various algebro-geometric problems. It also shows how to construct new invariants of representation theoretic origin on smooth projective surfaces | ||
| 650 | |a Lie, Algèbres de | ||
| 650 | |a Représentations d'algèbres | ||
| 776 | 0 | |0 168777878 |t Nonabelian Jacobian of projective surfaces |o geometry and representation theory |f Igor Reider |c Heidelberg |n Springer |d 2013 |p 1 vol. (VIII-214 p.) |s Lecture notes in mathematics |z 978-3-642-35661-2 | |
| 776 | 0 | |0 168777878 |t Nonabelian Jacobian of projective surfaces |o geometry and representation theory |f Igor Reider |c Heidelberg |n Springer |d 2013 |p 1 vol. (VIII-214 p.) |s Lecture notes in mathematics |z 978-3-642-35661-2 | |
| 776 | 0 | |t Nonabelian Jacobian of Projective Surfaces |b Texte imprimé |z 9783642356636 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-642-35662-9 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-LDG9NBVQ-X |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747864136 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-642-35662-9 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750881704 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-642-35662-9 |z Accès INSA CVL | |
| 997 | |0 946221 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||