Addendum to "K3-surfaces of genus 8 and varieties of sums of powers of cubic fourfolds"
| dc.creator | Iliev, Atanas | |
| dc.creator | Ranestad, Kristian | |
| dc.date | 2006-11-17 | |
| dc.date.accessioned | 2026-07-07T07:33:03Z | |
| dc.date.available | 2026-07-07T07:33:03Z | |
| dc.description | In this note, which is an addendum to the e-print math.AG/9810121, we prove that the variety VSP(F,10) of presentations of a general cubic form F in 6 variables as a sum of 10 cubes is a smooth symplectic 4-fold, which is deformation equivalent to the Hilbert square of a K3 surface of genus 8 but different from the family of lines on a cubic 4-fold. This provides a new geometric construction of a compact complex symplectic fourfold, different from a Hilbert square of a K3 surface, a generalized Kummer 4-fold, the variety of lines on a cubic 4-fold and the recent examples of O'Grady (see Duke Math. J. 134, no. 1 (2006), 99-137). | |
| dc.description | 4 pages | |
| dc.identifier | https://arxiv.org/abs/math/0611533 | |
| dc.identifier | http://arxiv.org/abs/math/0611533 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119327 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J, 14M | |
| dc.title | Addendum to "K3-surfaces of genus 8 and varieties of sums of powers of cubic fourfolds" | |
| dc.type | text |