D. Panov

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math.DG2026

Euclidean $\lor$ -systems and real PK arrangements

Martin de Borbon, Dmitri Panov, Alexander P. Veselov

We establish a correspondence between two structures arising in the geometry of hyperplane arrangements: Euclidean $\lor$ -systems and real polyhedral Kähler (PK) arrangements. We p…

math.DG2026

The Hirzebruch quadratic form of a hyperplane arrangement and flat logarithmic connections

Martin de Borbon, Dmitri Panov

We prove that the Hirzebruch quadratic form of a complex hyperplane arrangement is non-positive on the set of stable weights, and we identify the zero locus within this set with fl…

math.DG2026

Polyhedral KÃ¤hler metrics on $CP^{n}$

Martin de Borbon, Dmitri Panov

We give necessary and sufficient conditions for the existence of polyhedral KÃ¤hler metrics on $CP^{n}$ whose singular set is a hyperplane arrangement and whose cone angles…

Euclidean ∨-systems and real PK arrangements

The Hirzebruch quadratic form of a hyperplane arrangement and flat logarithmic connections

Polyhedral KÃ¤hler metrics on CPn

Euclidean $\lor$ -systems and real PK arrangements

Polyhedral KÃ¤hler metrics on $CP^{n}$