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math.AG2026
Tangent classes of matroids and wonderful compactifications
Ronnie Cheng, Shurui Liu, Guoxiong Gao
For every loopless matroid and every Feichtner--Yuzvinsky building set containing the top flat, we construct an integral tangent class $T_{M,\mathcal{G}}^{\mathbb…
math.AG2026
Tangent classes for matroid building sets
Ronnie Cheng
Significant combinatorial constraints and structure on matroids can come from notions in algebraic geometry, even without the matroids themselves being representable. Let \(M\) be…
math.AG2026
On the tangent bundle and the divisor theory of a general matroid
Ronnie Cheng
Extending classical algebro-geometric constructions to arbitrary matroids, we construct a -class for every loopless matroid . When is realizable by a linear…