The sequence of mixed \L ojasiewicz exponents associated to pairs of ideals

10 Apr 2019  ·  Bivià-Ausina Carles ·

We analyze the sequence $\mathcal L^*_J(I)$ of mixed \L ojasiewicz exponents attached to any pair $I,J$ of monomial ideals of finite colength of the ring of analytic function germs $(\mathbb C^n,0)\to \mathbb C$. In particular, we obtain a combinatorial expression for this sequence when $J$ is diagonal... We also show several relations of $\mathcal L^*_J(I)$ with other numerical invariants associated to $I$ and $J$. read more

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Commutative Algebra Algebraic Geometry Complex Variables