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

collaborators

Showing 2015Show all

2 papers · 1 filter

math.AG2015★ 1 cited

Boundness of $b_{2}$ for hyperkähler manifolds with vanishing odd-Betti numbers

Nikon Kurnosov

We prove that $b_{2}$ is bounded for hyperkähler manifolds with vanishing odd-Betti numbers. The explicit upper boundary is conjectured. Following the method described by Sawon we pr…

math.AG2015

Absolutely trianalytic tori in the generalized Kummer variety

Nikon Kurnosov

We prove that a generic complex deformation of a generalized Kummer variety contains no complex analytic tori.

Boundness of b2​ for hyperkähler manifolds with vanishing odd-Betti numbers

Absolutely trianalytic tori in the generalized Kummer variety

Boundness of $b_{2}$ for hyperkähler manifolds with vanishing odd-Betti numbers