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4 papers · 2 filters
Parabolic automorphisms of hyperkahler manifolds
Ekaterina Amerik, Misha Verbitsky
A parabolic automorphism of a hyperkahler manifold is a holomorphic automorphism acting on by a non-semisimple quasi-unipotent linear map. We prove that a parabolic automo…
Quiver representations arising from degenerations of linear series, II
Eduardo Esteves, Renan Santos, Eduardo Vital
We describe all the schematic limits of families of divisors associated to a given family of rank- linear series on a one-dimensional family of projective varieties degenerating…
Algebraic dimension and complex subvarieties of hypercomplex nilmanifolds
Anna Abasheva, Misha Verbitsky
A nilmanifold is a (left) quotient of a nilpotent Lie group by a cocompact lattice. A hypercomplex structure on a manifold is a triple of complex structure operators satisfying the…
A global Weinstein splitting theorem for holomorphic Poisson manifolds
Stéphane Druel, Jorge Vitório Pereira, Brent Pym +1
We prove that if a compact Kähler Poisson manifold has a symplectic leaf with finite fundamental group, then after passing to a finite étale cover, it decomposes as the product of…