3 papers
math.CO2026
Complement minimally non-totally unimodular matrices
Suyoung Choi, Mathieu Vallée
We prove that, up to row and column permutations and complement operations, the only complement minimally non-totally unimodular matrices are the cycle matrices and . Th…
math.AG2025
Complete non-singular toric varieties with Picard number 4
Suyoung Choi, Hyeontae Jang, Mathieu Vallée
We classify all complete non-singular toric varieties with Picard number four via a combinatorial framework based on fanlike simplicial spheres and characteristic maps. This classi…
math.CO2025
Totally equimodular matrices: decomposition and triangulation
Patrick Chervet, Roland Grappe, Mathieu Vallée
Totally equimodular matrices generalize totally unimodular matrices and arise in the context of box-total dual integral polyhedra. This work further explores the parallels between…