3 citations · 8 across the 5 of their papers we have counts for
7 papers
The abelian fibration on the Hilbert cube of a K3 surface of genus 9
Atanas Iliev, Kristian Ranestad
In this paper we construct an abelian fibration over on the Hilbert cube of the primitive K3 surface of genus 9. After the abelian fibration constructed by Mukai on the…
Schubert Unions in Grassmann Varieties
Johan P. Hansen, Trygve Johnsen, Kristian Ranestad
We study subsets of Grassmann varieties G(l,m) over a field F, such that these subsets are unions of Schubert cycles, with respect to a fixed flag. We study the linear spans of, an…
Degenerations of (1,7)-polarized abelian surfaces
Franck Melliez, Kristian Ranestad
The moduli space of (1,7)-polarized abelian surfaces with a level structure was shown by Manolache and Schreyer to be rational with compactification a Fano 3-fold of genus 12 which…
Irregular elliptic surfaces of degree 12 in the projective fourspace
Hirotachi Abo, Kristian Ranestad
So far only a few families of smooth irregular surfaces are known to exist in P^4 up to pullbacks by suitable finite morphisms from P^4 onto P^4 itself. In this paper we present tw…
Geometry of the Lagrangian Grassmannian Sp(3)/U(3) with applications to Brill-Noether loci
Atanas Iliev, Kristian Ranestad
The geometry of Sp(3)/U(3) as a subvariety of Gr(3,6) is explored to explain several examples given by Mukai of non-abelian Brill-Noether loci, and to give some new examples. These…
Canonical curves and varieties of sums of powers of cubic polynomials
Atanas Iliev, Kristian Ranestad
In this note we show that the apolar cubic forms associated to codimension two linear sections of canonical curves of genus at least eleven are special with respect to their presen…