Keywords
- Vector Bundle
- Riemann Surface
- Holomorphic Function
- Fundamental Group
- Riemann Sphere
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.
References
Arbarello, E., On subvarieties of the moduli space of curves of genus g defined in terms of weierstrass points, Atti Della Accademia Nazionale Dei Lincei, XV (1978), 1–20.
Carlson, J., Extensions of mixed Hodge structures, Journées de Geometrie Algebraic d'Angers, Sijthoff and Noordhoff (1980).
Chen, K.T., Iterated path integrals, Bull. A.M.S., 83 (1977), 831–879.
Earle, C.J., Families of Riemann Surfaces and Jacobi Varieties, Annals of Math., 107 (1978), 255–286.
Forster, O., Lectures on Riemann Surfaces, Graduate Texts in Mathematics, Vol. 81, Springer-Verlag, New York (1981).
Grauert, H., Analytische Faserungen über holomorph-vollständigen Räumen, Math. Ann. 135 (1958), 263–273.
Gunning, R. C., Quadratic periods of Hyperelliptic Abelian Integrals, in Problems in Analysis, Princeton University Press (1970), 239–247.
Gunning, R.C., Lectures on Riemann Surfaces; Jacobi Varieties, Princeton University Press (1972).
Hain, R.M., Mixed Hodge Structures as Homotopy Groups, Bull. A.M.S., 14 (1986), 111–114.
Harris, B., Harmonic Volumes, Acta Math, 150 (1983), 91–123.
Harris, B., Homological versus Algebraic Equivalence in a Jacobian, Proc. Nat. Acad. Sci., U.S.A., 80 (1983), 1157–1158.
Henrici, P., Applied and Computational Complex Analysis, Vol. 2, Wiley-Interscience, New York (1977).
Hwang-Ma, S.-Y., Periods of iterated integrals of holomorphic forms on a compact Riemann surface, Trans. A.M.S., 264 (1981), 295–300.
Jablow, E., Quadratic vector classes on Riemann surfaces, Duke Math. J., 53 (1986), 221–232.
Lefschetz, S., On certain numerical invariants of algebraic varieties with application to abelian varieties, Trans. A.M.S. 22 (1921), 327–482.
Poole, E.G.C., Introduction to the Theory of Linear Differential Equations, Dover reprint, New York (1960).
Pulte, M., Thesis, University of Utah (1985).
Ramakrishnan, D., On the monodromy of higher logarithms, Proc. A.M.S., 85 (1982), 596–599.
Rauch, H.E., Weierstrass points, branch points and moduli of Riemann surfaces, Comm. on Pure and App. Math, 12 (1959), 543–560.
Siegel, C. L., Topics in Complex Function Theory, Vol. I (1969), Vol. II (1971), Vol. III (1973), Wiley-Interscience, New York.
Singer, M.F. and Tretkoff, M.D., Some applications of linear groups to differential equations, Am. J. Math. 107 (1985), 1111–1121.
Tretkoff, C.L. and Tretkoff, M.D., Combinatorial group theory, Riemann surfaces and differential equations, Contemporary Math, 33 (1984), 467–519
J.H. Hubbard, Sur les sections analytique de la courbe universelle de Teichmuller, Memors Amer. Math. Soc., 4, No 166 (1976), 1–137
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag
About this paper
Cite this paper
Tretkoff, M. (1987). Picard-fuchs differential equations for the quadratic periods of Abelian integrals of the first kind. In: Berenstein, C.A. (eds) Complex Analysis III. Lecture Notes in Mathematics, vol 1277. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078251
Download citation
DOI: https://doi.org/10.1007/BFb0078251
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18355-6
Online ISBN: 978-3-540-47893-5
eBook Packages: Springer Book Archive
