Realizations of Polylogarithms
Classically, higher logarithms appear as multivalued functions on the projective line. Today they can be interpreted as entries of the period matrix of a certain variation of Hodge structure, itself called the "polylogarithm". The aim of the book is to document the sheaf-theoretical founda...
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|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
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Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serier: | Lecture notes in mathematics
1650 |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
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| Edition sous un autre format: | • Realizations of polylogarithms, Jörg Wildeshaus, 1997, Berlin, Springer, 1 volume (XI-343 pages), Lecture notes in mathematics, 3-540-62460-0 • Realizations of Polylogarithms, Texte imprimé, 9783662162996 |
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| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Wildeshaus, Jörg, |d 1965-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Realizations of Polylogarithms |c Jörg Wildeshaus. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1650 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Mixed structures on fundamental groups -- The canonical construction of mixed sheaves on mixed shimura varieties -- Polylogarithmic extensions on mixed shimura varieties. Part I: Construction and basic properties -- Polylogarithmic extensions on mixed shimura varieties. part II: The classifical polylogarithm -- Polygogarithmic extensions on mixed shimura varieties. Part III: The elliptic polygogarithm. | |
| 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 Classically, higher logarithms appear as multivalued functions on the projective line. Today they can be interpreted as entries of the period matrix of a certain variation of Hodge structure, itself called the "polylogarithm". The aim of the book is to document the sheaf-theoretical foundations of the field of polylogarithms. Earlier, partly unpublished results and constructions of Beilinson, Deligne, and Levin on the classical and elliptic polylog are generalized to the context of Shimura varieties. The reader is expected to have a sound background in algebraic geometry. Large parts of the book are expository, and intended as a reference for the working mathematician. Where a self-contained exposition was not possible, the author gives references in order to make the material accessible for advanced graduate students. | ||
| 650 | |a Mathématiques | ||
| 650 | |a Nombres, Théorie des | ||
| 650 | |a Fonctions logarithmes | ||
| 776 | 0 | |0 027028011 |t Realizations of polylogarithms |f Jörg Wildeshaus |d 1997 |c Berlin |n Springer |p 1 volume (XI-343 pages) |s Lecture notes in mathematics |z 3-540-62460-0 | |
| 776 | 0 | |t Realizations of Polylogarithms |b Texte imprimé |z 9783662162996 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0093051 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-TMWM6LNP-8 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750634472 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0093051 |z Accès Université d'Orléans | |
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