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Multiplicity estimates, interpolation, and transcendence theory

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Number Theory, Analysis and Geometry

Abstract

We discuss the problems of interpolation and multiplicity estimates on compactifications of commutative algebraic groups. We consider two extremal cases: one where multiplicity is imposed at a single point and the other where the conditions are imposed on an asymptotically growing set of points. Some conjectures and new results are given in both cases.

Mathematics Subject Classification (2010): 11J81, 14L40, 14C20

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Authors and Affiliations

  1. Department of Mathematics, University of New Mexico, Albuquerque, NM, 87131, USA

    Michael Nakamaye

Authors
  1. Michael Nakamaye
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Correspondence to Michael Nakamaye .

Editor information

Editors and Affiliations

  1. , Department of Mathematics, Columbia University, Broadway 2990, New York, 10027, New York, USA

    Dorian Goldfeld

  2. , Department of Mathematics, City College of New York, New York, 10031, New York, USA

    Jay Jorgenson

  3. , Department of Mathematics, Yale University, Hillhouse Ave. 10, New Haven, 06520, Connecticut, USA

    Peter Jones

  4. , Department of Mathematics, California Institute of Technology, E. California Blvd. 1200, Pasadena, 91125, California, USA

    Dinakar Ramakrishnan

  5. , Department of Mathematics, University of California at Berkeley, Evans Hall 925, Berkeley, 94720-3840, California, USA

    Kenneth Ribet

  6. , Department of Mathematics, Harvard University, Science Center/One Oxford Street, Cambridge, 02138, Massachusetts, USA

    John Tate

Additional information

In loving memory of my mentor and friend Serge Lang

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Nakamaye, M. (2012). Multiplicity estimates, interpolation, and transcendence theory. In: Goldfeld, D., Jorgenson, J., Jones, P., Ramakrishnan, D., Ribet, K., Tate, J. (eds) Number Theory, Analysis and Geometry. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-1260-1_22

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