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math.DG2026
Euclidean -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 -systems and real polyhedral Kähler (PK) arrangements. We p…
cond-mat.supr-con2026
Microscopic structure of the vortex cores in granular niobium: A coherent quantum puzzle
V. S. Stolyarov, V. Neverov, A. V. Krasavin +12
When macroscopic quantum condensates -- superconductors, superfluids, cold atoms and ions, polaritons etc. -- are put in rotation, a quantum vortex lattice forms inside. In homogen…
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…