Keywords
- Spectral Sequence
- Mixed System
- Weight Filtration
- Open Compact Subgroup
- Regular Model
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Bibliography
[B1] A.A. Beilinson, “Higher regulators and values of L-functions”, Jour. Soviet Math. 30 (1985), pp. 2036–2070.
[B2] A.A. Beilinson, “Polylogarithm and Cyclotomic Elements”, typewritten preprint, MIT 1989 or 1990.
[BBD] A.A. Beilinson, J. Bernstein, P. Deligne, “Faisceaux pervers”, in B. Teissier, J.L. Verdier, “Analyse et Topologie sur les Espaces singulieers” (I), Astérisque 100, Soc. Math. France 1982.
[BLpp] A.A. Beilinson, A. Levin, “Elliptic Polylogarithm”, handwirtten preliminary version of [BLp], June 1991.
[BLp] A.A. Beilinson, A. Levin, “Elliptic Polylogarithm”, typewritten preliminary version of [BL], preprint, MIT 1992.
[BL] A.A. Beilinson, A. Levin, “The Elliptic Polylogarithm”, in U. Jannsen, S.L. Kleiman, J.-P. Serre, “Motives”, Proc. of Symp. in Pure Math. 55, Part II, AMS 1994, pp. 123–190.
[BK] S. Bloch, K. Kato, “L-functions and Tamagawa Numbers of Motives”, in P. Cartier et al., “The Grothendieck Festschrift”, Volume I, Birkhäuser 1990, pp. 333–400.
[Bo] A. Borel et al., “Algebraic D-modules”, Perspectives in Mathematics 2, Academic Press 1987.
[D1] P. Deligne, “Equations Différentielles à Points Singuliers Réguliers”, LNM 163, Springer-Verlag 1970.
[D2] P. Deligne, “La Conjecture de Weil II”, Publ. Math. IHES 52 (1981), pp. 313–428.
[De] C. Deninger, “Higher regulators and Hecke L-series of imaginary quadratic fields, I”, Inv. math. 96 (1989), pp. 1–69.
[DM] P. Deligne, J.S. Milne, “Tannakian Categories”, in P. Deligne, J.S. Milne, A. Ogus, K.-y. Shih, “Hodge Cycles, Motives, and Shimura varieties”, LNM 900, Springer-Verlag 1982, pp. 101–228.
[Ek] T. Ekedahl, “On the Adic Formalism”, in P. Cartier, et al. (eds.), “The Grothendieck Festschrift”, Volume II, Birkhäuser 1990, pp. 197–218.
[Hub] A. Huber, “Mixed Perverse Sheaves for Schemes over Number Fields”, to appear in Comp. Math.
[Hu] S.T. Hu, “Homotopy Theory”, Academic Press 1959.
[J] U. Jannsen, “Mixed Motives and Algebraic K-Theory”, LNM 1400, Springer-Verlag 1990.
[Ka] M. Kashiwara, “A Study of Variation of Mixed Hodge Structure”, Publ. RIMS, Kyoto Univ. 22 (1986), pp. 991–1024.
[P] R. Pink, “Arithmetical compactification of Mixed Shimura Varieties”, thesis, Bonner Mathematische Schriften 1989.
[S1] Morihiko Saito, “Mixed Hodge Modules”, Publ. RIMS, Kyoto Univ. 26 (1990), pp. 221–333.
[S2] Morihiko Saito, “On the Formalism of Mixed Sheaves”, preprint, RIMS Kyoto (1991).
[SGA4,III] M. Artin, A. Grothendieck, J.L. Verdier et al., “Théorie des Topos et Cohomologie Etale des Schémas”, Tôme 3, LNM 305, Springer-Verlag 1973.
[SGA4 1/2] P. Deligne et al., “Cohomologie Etale”, LNM 569, Springer-Verlag 1977.
[Sp] E.H. Spanier, “Algebraic Topology”, Springer-Verlag 1966.
Rights and permissions
Copyright information
© 1997 Springer-Verlag
About this chapter
Cite this chapter
Wildeshaus, J. (1997). Polylogarithmic extensions on mixed shimura varieties. Part I: Construction and basic properties. In: Realizations of Polylogarithms. Lecture Notes in Mathematics, vol 1650. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093055
Download citation
DOI: https://doi.org/10.1007/BFb0093055
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-62460-8
Online ISBN: 978-3-540-49728-8
eBook Packages: Springer Book Archive
