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20152025
most citedNash multiplicity sequences and Hironaka's order function

3 citations · 10 across the 9 of their papers we have counts for

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6 papers · 1 filter

math.AG2023★ 1 cited

Generic consistency and nondegeneracy of vertically parametrized systems

Elisenda Feliu, Oskar Henriksson, Beatriz Pascual-Escudero

We determine the generic consistency, dimension and nondegeneracy of the zero locus over , and of vertically parametrized systems: pa…

math.AG2020

Local and global robustness at steady state

B. Pascual-Escudero, E. Feliu

We study the robustness of the steady states of a class of systems of autonomous ordinary differential equations (ODEs), having as a central example those arising from (bio)chemica…

math.AG2018

Contact loci and Hironaka's order

A. Bravo, S. Encinas, B. Pascual-Escudero

We study contact loci sets of arcs and the behavior of Hironaka's order function defined in constructive Resolution of singularities. We show that this function can be read in term…

math.AG2018★ 3 cited

Nash multiplicity sequences and Hironaka's order function

A. Bravo, S. Encinas, B. Pascual-Escudero

When is a -dimensional variety defined over a field of characteristic zero, a constructive resolution of singularities can be achieved by successively lowering the maxim…

math.AG2016★ 1 cited

Nash multiplicities and isolated points of maximum multiplicity

Beatriz Pascual-Escudero

Let be an algebraic variety defined over a field of characteristic zero, and let be a point in the closed subset of maximum multiplici…

math.AG2015★ 3 cited

Nash multiplicities and resolution invariants

A. Bravo, S. Encinas, B. Pascual-Escudero

The Nash multiplicity sequence was defined by M. Lejeune-Jalabert as a non-increasing sequence of integers attached to a germ of a curve inside a germ of a hypersurface. M. Hickel…