Twisted Teichmüller curves / Christian Weiss
Type de document : MonographieCollection : Lecture notes in mathematics, 2104Langue : anglais.Pays: Swisse.Éditeur : Cham : Springer, cop. 2014Description : 1 vol. (XVI-166 p.) : fig. ; 24 cmISBN: 9783319040745.ISSN: 0075-8434.Bibliographie : Bibliogr. p. 159-163. Index.Sujet MSC : 14-02, Research exposition (monographs, survey articles) pertaining to algebraic geometry14H25, Curves in algebraic geometry, Arithmetic ground fields for curves
14G35, Arithmetic problems in algebraic geometry. Diophantine geometry, Modular and Shimura varieties
14H40, Curves in algebraic geometry, Jacobians, Prym varieties
32G15, Several complex variables and analytic spaces - Deformations of analytic structures, Moduli of Riemann surfaces, Teichmüller theory
37D25, Dynamical systems with hyperbolic behavior, Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)En-ligne : Sommaire | Zentralblatt
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
Monographie
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CMI Salle 1 | 14 WEI (Browse shelf(Opens below)) | Available | 12280-01 |
Bibliogr. p. 159-163. Index
These notes introduce a new class of algebraic curves on Hilbert modular surfaces. These curves are called twisted Teichmüller curves, because their construction is very reminiscent of Hirzebruch-Zagier cycles. These new objects are analyzed in detail and their main properties are described. In particular, the volume of twisted Teichmüller curves is calculated and their components are partially classified. The study of algebraic curves on Hilbert modular surfaces has been widely covered in the literature due to their arithmetic importance. Among these, twisted diagonals (Hirzebruch-Zagier cycles) are some of the most important examples. (Source : Springer)
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