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math.AG2026
Root bounds of vertical systems using tropical geometry
Elisenda Feliu, Paul Alexander Helminck, Oskar Henriksson +3
Sparse polynomial systems with vertical coefficient dependencies arise naturally when describing the critical points of optimization problems and, when augmented with linear forms,…
math.AG2026
Angular pair-of-pants decompositions of complex varieties
Yassine Elmaazouz, Paul Alexander Helminck
We define the notion of torically hyperbolic varieties and we construct pair-of-pants decompositions for these in terms of angle sets of essential projective hyperplane complements…