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Mostrando ítems 1-3 de 3

Integral closure and bounds for quotients of multiplicities of monomial ideals

Bivià-Ausina, Carles (Elsevier, 2018)

[EN] Given a pair of monomial ideals $I$ and $J$ of finite colength of the ring of analytic function germs $(\C^n,0)\to \C$, we prove that some power of $I$ admits a reduction formed by homogeneous polynomials with respect ...
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Multiplicity and Lojasiewicz exponent of generic linear sections of monomial ideals

Bivià-Ausina, Carles (Cambridge University Press (CUP) + Australian Mathematical Publishing Association Inc., 2015-04)

We obtain a characterisation of the monomial ideals I subset of C[x(1), . . . , x(n)] of finite colength that satisfy the condition e(I) = L-0((1)) (I) . . . L-0((n)) (I), where L-0((1)) (I), . . . , L-0((n)) (I) is the ...
The sequence of mixed Lojasiewicz exponents associated to pairs of monomial ideals

Bivià-Ausina, Carles (Elsevier, 2020-05-15)

[EN] We analyze the sequence L-J*(I) of mixed Lojasiewicz exponents attached to any pair I, J of monomial ideals of finite colength of the ring of analytic function germs ((C-n, 0) -> C. In particular, we obtain a combinatorial ...

Mostrando ítems 1-3 de 3