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math.AG2026
Characterization of Stanley-Reisner varieties by their automorphism group
Roberto Díaz, José Alejandro Samper
We study the automorphism ind-group of a Stanley-Reisner variety through a combinatorial toolkit on the underlying complex: a facet closure operator, its Demazure roots, and…
math.CO2026
Poset Partitions and the Combinatorics of the -Index
Felipe Caster, Dan Guyer, José Alejandro Samper
We introduce a new class of Eulerian posets, called S-partitionable posets, which have a non-negative cd-index. These posets are a generalization of S-shellable complexes introduce…