Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lojasiewicz exponent of families of ideals, Rees mixed multiplicities
  and Newton filtrations   We give an expression for the {\L}ojasiewicz exponent of a wide class of
n-tuples of ideals $(I_1,..., I_n)$ in $\O_n$ using the information given by a
fixed Newton filtration. In order to obtain this expression we consider a
reformulation of {\L}ojasiewicz exponents in terms of Rees mixed
multiplicities. As a consequence, we obtain a wide class of semi-weighted
homogeneous functions $(\mathbb{C}^n,0)\to (\mathbb{C},0)$ for which the
{\L}ojasiewicz of its gradient map $\nabla f$ attains the maximum possible
value.

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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: eess