ON BIRATIONAL TRANSFORMATIONS OF HILBERT SCHEMES OF POINTS ON K3 SURFACES - Sorbonne Université
Journal Articles Mathematische Zeitschrift Year : 2020

ON BIRATIONAL TRANSFORMATIONS OF HILBERT SCHEMES OF POINTS ON K3 SURFACES

Abstract

We classify the group of birational automorphisms of Hilbert schemes of points on algebraic K3 surfaces of Picard rank one. We study whether these automorphisms are symplectic or non-symplectic and if there exists a hyperkähler birational model on which they become biregular. We also present new geometrical constructions of these automorphisms.
Fichier principal
Vignette du fichier
2005.05187.pdf (382.97 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03549779 , version 1 (31-01-2022)

Identifiers

Cite

Pietro Beri, Alberto Cattaneo. ON BIRATIONAL TRANSFORMATIONS OF HILBERT SCHEMES OF POINTS ON K3 SURFACES. Mathematische Zeitschrift, 2020, ⟨10.1007/s00209-021-02960-y⟩. ⟨hal-03549779⟩
37 View
65 Download

Altmetric

Share

More