2 problems

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Hodge–Riemann conjecture for the intersection algebra of a line arrangement
Let $V$ be an $n$ -dimensional vector space, and let $E$ be a finite set of lines in $V^*$ that is not contained in a single hyperplane. Let…
Conjectureopencombinatorics hodge-theory polytope-algebraarXiv posted 2 days ago
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The basis conjecture for the polytope algebra of generalized permutahedra
Basis conjecture. The collection
Conjectureopencombinatorics generalized-permutahedra polytope-algebraarXiv posted 2 days ago

Hodge–Riemann conjecture for the intersection algebra of a line arrangement