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math.LO2024
On residual domination and types orthogonal to the value group
Pablo Cubides Kovacsics, Silvain Rideau-Kikuchi, Mariana Vicaría
We present a unifying framework of residual domination for (expansions of) henselian valued fields of equicharacteristic zero, encompassing some valued fields with operators. We sh…
math.AC2024
A Characterization of Quasi-homogeneous Bivariate Polynomials
David Bradley-Williams, Pablo Cubides Kovacsics, Immanuel Halupczok
If a reduced bivariate polynomial is quasi-homogeneous, then its discriminant is a monomial. Over fields of characteristic , we show that if one adds another simple condition, t…