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math.AG2026
Magic positivity of Snapper polynomials for matroids
Shiyue Li
In 1959, Snapper showed that the Euler characteristic of the tensor powers of a line bundle on a normal projective scheme is a polynomial, later named the \emph{Snapper polynomial}…
math.CO2026
Structural properties of nested set complexes
Basile Coron, Luis Ferroni, Shiyue Li
We study structural and topological properties of nested set complexes of matroids with arbitrary building sets, proving that these complexes are vertex decomposable and admit conv…