One way to define a matroid is via its base polytope. From
this point of view, some matroid invariants easily have geometric
interpretations: e.g., the number of bases is the number of
vertices of the polytope. It turns out that most
interesting...
Expressing combinatorial invariants of matroids as intersection
numbers on algebraic varieties has become a popular tool in
algebraic combinatorics. Several conjectured inequalities among
combinatorial data can be traced back to positivity results...
The reverse Khovanskii-Teissier inequality is a three term
inequality for nef divisors which first appeared in the context of
Kähler geometry. It provides an upper bound on a product of two
divisors in terms of products with the third, hence its...
The reverse Khovanskii-Teissier inequality is a three term
inequality for nef divisors which first appeared in the context of
Kähler geometry. It provides an upper bound on a product of two
divisors in terms of products with the third, hence its...
