Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

A Global Lojasiewicz Inequality for Algebraic Varieties

Shanyu Ji, Janos Kollar and Bernard Shiffman
Transactions of the American Mathematical Society
Vol. 329, No. 2 (Feb., 1992), pp. 813-818
DOI: 10.2307/2153965
Stable URL: http://www.jstor.org/stable/2153965
Page Count: 6
  • Read Online (Free)
  • Download ($30.00)
  • Subscribe ($19.50)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A Global Lojasiewicz Inequality for Algebraic Varieties
Preview not available

Abstract

Let X be the locus of common zeros of polynomials f1, ..., fk in n complex variables. A global upper bound for the distance to X is given in the form of a Lojasiewicz inequality. The exponent in this inequality is bounded by dmin(n, k) where d = max(3, ° fi). The estimates are also valid over an algebraically closed field of any characteristic.

Page Thumbnails

  • Thumbnail: Page 
813
    813
  • Thumbnail: Page 
814
    814
  • Thumbnail: Page 
815
    815
  • Thumbnail: Page 
816
    816
  • Thumbnail: Page 
817
    817
  • Thumbnail: Page 
818
    818