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math.CO2015
Hodge Theory for Combinatorial Geometries
Karim Adiprasito, June Huh, Eric Katz
We prove the hard Lefschetz theorem and the Hodge-Riemann relations for a commutative ring associated to an arbitrary matroid M. We use the Hodge-Riemann relations to resolve a con…
math.AG2015★ 18 cited
A tropical approach to a generalized Hodge conjecture for positive currents
Farhad Babaee, June Huh
Demailly showed that the Hodge conjecture is equivalent to the statement that any (p,p)-dimensional closed current with rational cohomology class can be approximated by linear comb…