Higher order approximations at infinity to algebraic varieties

Authors

  • RudigerW. Braun
  • Reinhold Meise
  • B. A. Taylor

DOI:

https://doi.org/10.1285/i15900932v25n1p103

Keywords:

Phragmén-Lindelöf condition, Approximation of algebraic varieties, Holomorphic chain

Abstract

Let V be an algebraic variety in Cn. For a curve γ in Cn, going out to infinity, and d ≤ 1, define Vt := td(V γ(t)). Then the currents defined by Vt converge to a limit current as t tends to infinity. This limit current is either zero or its support is an algebraic variety. Properties of such limit current and examples are presented. These results are useful in the study of solvability questions for partial differential operators via Phragmén-Lindelöf conditions.

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Published

01-01-2006

Issue

Volume 25, Issue 1 (2006)

Section

Articoli

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