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{\L}ojasiewicz exponents of non-degenerate holomorohic and mixed functions. (arXiv:1704.06379v1 [math.AG])
来源于:arXiv
We consider \L ojasiewicz inequalities for a non-degenerate holomorphic
function with an isolated singularity at the origin. We give an explicit
estimation of the \L ojasiewicz exponent in a slightly weaker form than the
assertion in Fukui.For a weighted homogeneous polynomial, we give a better
estimation in the form which is conjectured by Brzostowski, Krasinski and
Oleksik under under some condition (the \L ojasiewicz non-degeneracy). We also
introduce \L ojasiewicz inequality for strongly non-degenerate mixed functions
and generalize this estimation for mixed functions. 查看全文>>