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5 papers · 1 filter
Families of four-dimensional integrable systems with -symmetries
Yohann Le Floch, Joseph Palmer
The aim of this paper is to give new insights about families of integrable systems lifting a Hamiltonian -space. Specifically, we study one-parameter families $(M^4,ω,F_t=(J,H…
On the irrationality of moduli spaces of projective hyperkähler manifolds
Daniele Agostini, Ignacio Barros, Kuan-Wen Lai
The aim of this paper is to estimate the irrationality of moduli spaces of hyperkähler manifolds of types K3, Kum, OG6, and OG10. We prove that the degrees of irratio…
Conditions for symmetry reduction of polysymplectic and polycosymplectic structures
Eduardo García-Toraño Andrés, Tom Mestdag
For Hamiltonian field theories on polysymplectic manifolds with a symmetry group action and a momentum map, we explore the redundancy in a set of necessary conditions that has appe…
Fast Linear Model Trees by PILOT
Jakob Raymaekers, Peter J. Rousseeuw, Tim Verdonck +1
Linear model trees are regression trees that incorporate linear models in the leaf nodes. This preserves the intuitive interpretation of decision trees and at the same time enables…
Fields with bounded Brauer -torsion index
Karim Johannes Becher
It is shown that, over a field of characteristic not , the dimension of an anisotropic quadratic Pfister form of trivial total signature is at most twice the dimension of some c…