K3-surfaces of genus 8 and varieties of sums of powers of cubic fourfolds
| dc.creator | Iliev, Atanas | |
| dc.creator | Ranestad, Kristian | |
| dc.date | 1998-10-19 | |
| dc.date | 2006-11-17 | |
| dc.date.accessioned | 2026-07-07T06:34:30Z | |
| dc.date.available | 2026-07-07T06:34:30Z | |
| dc.description | The main outcome of this paper is 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 obtained a deformation of the Hilbert square of a K3 surface of genus 8. After publishing it in Trans. Am. Math. Soc. 353, No.4, 1455-1468 (2001), it was noted to us by Eyal Markman that in Theorem 3.17 we conclude without proof that VSP(F,10) should be the 4-fold of lines on another cubic 4-fold. We correct this in the e-print "Addendum to K3 surfaces of genus 8 and varieties of sums of powers of cubic fourfolds" (math.AG/0611533), where we establish that the general VSP(F,10) is in fact a new symplectic 4-fold different from the family of lines on a cubic 4-fold. | |
| dc.description | 15 pages appeared in Trans. Amer. Math. Soc. 353, No.4, 1455-1468 (2001) | |
| dc.identifier | https://arxiv.org/abs/math/9810121 | |
| dc.identifier | http://arxiv.org/abs/math/9810121 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99545 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J (Primary) 14M (Secondary) | |
| dc.title | K3-surfaces of genus 8 and varieties of sums of powers of cubic fourfolds | |
| dc.type | text |