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math.AG2024
Variety of apolar schemes to powers of quadrics
Grzegorz Kapustka, Michał Kapustka, Kristian Ranestad
We study the variety (resp. ), a Grassmannian compactification of the variety of finite schemes of length apolar to …
math.AG1998
K3-surfaces of genus 8 and varieties of sums of powers of cubic fourfolds
Atanas Iliev, Kristian Ranestad
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…