N. Kurnosov

activity

20142026

most citedKuga-Satake construction and cohomology of hyperkahler manifolds

14 citations · 28 across the 9 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.AG2017

Classifying $V I I_{0}$ surfaces with $b_{2} = 0$ via group theory

Federico Buonerba, Fedor Bogomolov, Nikon Kurnosov

We give a new proof of a theorem of Bogomolov, that the only $V I I_{0}$ surfaces with $b_{2} = 0$ are those constructed by Hopf and Inoue. The proof follows the strategy of the original…

math.AG2017★ 14 cited

Kuga-Satake construction and cohomology of hyperkahler manifolds

Nikon Kurnosov, Andrey Soldatenkov, Misha Verbitsky

Let M be a simple hyperkahler manifold. Kuga-Satake construction gives an embedding of H^2(M,C) into the second cohomology of a torus, compatible with the Hodge structure. We const…

Classifying VII0​ surfaces with b2​=0 via group theory

Kuga-Satake construction and cohomology of hyperkahler manifolds

Classifying $V I I_{0}$ surfaces with $b_{2} = 0$ via group theory