Carolin Peternell

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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 $P^{n}$ , $n \geq 4$ .