Carolin Peternell

collaborators

3 papers

math.DG2019

Jumps, folds, and hypercomplex structures

Roger Bielawski, Carolin Peternell

We investigate the geometry of the Kodaira moduli space $M$ of sections of $π : Z \to P^{1}$ , the normal bundle of which is allowed to jump from $O (1)^{n}$ to ${\ma…

math.DG2019

Differential geometry of Hilbert schemes of curves in a projective space

Roger Bielawski, Carolin Peternell

We describe the natural geometry of Hilbert schemes of curves in $P^{3}$ and, in some cases, in $P^{n}$ , $n \geq 4$ .

math.AG2019

Hilbert schemes, commuting matrices, and hyperkähler geometry

Roger Bielawski, Carolin Peternell

We represent algebraic curves via commuting matrix polynomials. This allows us to show that the Hilbert scheme of cohomologically stable twisted rational curves of degree $d$ in ${…