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Multiplicity estimates, interpolation, and transcendence theory

In: Number Theory, Analysis and Geometry

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  • Michael Nakamaye

    (University of New Mexico, Department of Mathematics)

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.

Suggested Citation

  • Michael Nakamaye, 2012. "Multiplicity estimates, interpolation, and transcendence theory," Springer Books, in: Dorian Goldfeld & Jay Jorgenson & Peter Jones & Dinakar Ramakrishnan & Kenneth Ribet & John Tate (ed.), Number Theory, Analysis and Geometry, edition 127, pages 475-498, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-1260-1_22
    DOI: 10.1007/978-1-4614-1260-1_22
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