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math.DG2024
Non-Archimedean analogue of the space of valuations on convex sets
Semyon Alesker
In the last two decades a number of structures on the classical space of translation invariant valuations on convex bodies were discovered, e.g. product, convolution, a Fourier typ…
math.DG2024
Octonionic Calabi-Yau theorem
Semyon Alesker, Peter Gordon
A new class of Riemannian metrics, called octonionic Kähler, is introduced and studied on a certain class of 16-dimensional manifolds. It is an octonionic analogue of Kähler metr…