2019/04/10 by Carles Bivià-Ausina, Bivià-Ausina, Carles
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #Complex Variables (math.CV) #FOS: Mathematics #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1904.05292
openalex publication_date 2019/04/10 · openalex created_date 2019/04/25 · openalex updated_date 2026/07/28
We analyze the sequence \mathcal L^*J(I) of mixed Łojasiewicz exponents attached to any pair I,J of monomial ideals of finite colength of the ring of analytic function germs (\mathbb Cn,0)→ \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.