A conjecture on the Łojasiewicz exponent

Szymon Brzostowski, Tadeusz Krasiński and Grzegorz Oleksik

Journal of Singularities
volume 6 (2012), 124-130
Proceedings of the Workshop on Singularities in Geometry and Applications, Będlewo, 5 – 21 May 2011

Received: 5 January 2012. Received in revised form: 2 July 2012.

DOI: 10.5427/jsing.2012.6j

Add a reference to this article to your citeulike library.


Abstract:

In this paper, we present a conjecture connecting the Łojasiewicz exponent of an isolated nondegenerate singularity with some geometrical characteristics of the Newton diagram associated with this singularity. We prove the conjecture for a class of surface singularities.


Author(s) information:

Szymon Brzostowski Tadeusz Krasiński Grzegorz Oleksik
Faculty of Mathematics and Computer Science Faculty of Mathematics and Computer Science Faculty of Mathematics and Computer Science
University of Lodz University of Lodz University of Lodz
Banacha 22 Banacha 22 Banacha 22
90-238 Lodz, POLAND 90-238 Lodz, POLAND 90-238 Lodz, POLAND
email: brzosts@math.uni.lodz.pl email: krasinsk@uni.lodz.pl email: oleksig@math.uni.lodz.pl