Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
W.L. Baily and A. Borel: Compactification of arithmetic quotients of bounded symmetric domains, Ann. of Math. 84 (1966), 443–528.
J.A. Carlson, Bounds on the dimension of a variation of Hodge structure, Trans. AMS. 294 (1986) 45–64.
J. A. Carlson M.L. Green, P.A. Griffiths, and J. Harris, Infinitesimal variations of Hodge structures I, Compositio Math. 50 (1983), pp. 109–205
J. A. Carlson, and P.A. Griffiths, Infinitesimal variations of Hodge structure and the global Torelli problem, Journées de Géometrie Algébrique d'Angers 1979, Sijthoff & Nordhoff, Alphen an den Rijn, the Netherlands (1980), pp 51–76.
J. A. Carlson and Ron Donagi, Hypersurface variations are maximal, preprint, July 1985.
P. A. Griffiths, Periods of rational integrals, I, II, Annals of Mathematics 90 (1969), 460–526 and 805–865.
P. A. Griffiths, Periods of integrals on algebraic manifolds, III, Publ. Math. I.H.E.S. 38 (1970), 125–180.
A. Grothendieck, Hodge's conjecture is false for trivial reasons, Topology 8 (1969) 299–303.
S. Helgason, Differential Geometry, Lie Groups, and Symmetric Spaces, Academic Press 1978, pp 634.
M. Kuga, Fiber varieties over a symmetric space whose fibers are abelian varieties, Proceedings of Symposia in Pure Mathematics, IX, American Math. Soc. 1966, 338–346.
D. Mumford, Families of Abelian Varieties, Proceedings of Symposia in Pure Mathematics, IX, American Math. Soc. 1966, 347–351.
D. Mumford, A Note on Shimura's Paper "Discontinuous Groups and Abelian Varieties", Math. Ann. 181 (1969), 345–351.
G. Shimura, Moduli of Abelian Varieties, Proceedings of Symposia in Pure Mathematics, IX, American Math. Soc. 1966, 312–332.
Editor information
Rights and permissions
Copyright information
© 1987 Springer-Verlag
About this chapter
Cite this chapter
Carlson, J.A., Simpson, C. (1987). Shimura Varieties of Weight Two Hodge Structures. In: Cattani, E., Kaplan, A., Guillén, F., Puerta, F. (eds) Hodge Theory. Lecture Notes in Mathematics, vol 1246. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077525
Download citation
DOI: https://doi.org/10.1007/BFb0077525
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-17743-2
Online ISBN: 978-3-540-47794-5
eBook Packages: Springer Book Archive