71 citations · 321 across the 37 of their papers we have counts for
7 papers · 1 filter
Pre- and Post-Lie Algebras: The Algebro-Geometric View
Gunnar Fløystad, Hans Munthe-Kaas
We relate composition and substitution in pre- and post-Lie algebras to algebraic geometry. The Connes-Kreimer Hopf algebras, and MKW Hopf algebras are then coordinate rings of the…
Rigid ideals by deforming quadratic letterplace ideals
Gunnar Fløystad, Amin Nematbakhsh
We compute the deformation space of quadratic letterplace ideals of finite posets when its Hasse diagram is a rooted tree. These deformations are unobstructed. The def…
The Chow Form of the Essential Variety in Computer Vision
Gunnar Fløystad, Joe Kileel, Giorgio Ottaviani
The Chow form of the essential variety in computer vision is calculated. Our derivation uses secant varieties, Ulrich sheaves and representation theory. Numerical experiments show…
Borel Degenerations of Arithmetically Cohen-Macaulay curves in P^3
Gunnar Floystad, Margherita Roggero
We investigate Borel ideals on the Hilbert scheme components of arithmetically Cohen-Macaulay (ACM) codimension two schemes in P^n. We give a basic necessary criterion for a Borel…
Exterior algebra resolutions arising from homogeneous bundles
Gunnar Floystad
For the exterior algebra E over a vector space, we consider general maps E^a -> E(1)^b and general symmetric and skew-symmetric maps E^a -> E(1)^a and describe the associated exter…
Describing coherent sheaves on projective spaces via Koszul duality
Gunnar Floystad
A new section on projections of coherent sheaves from a projective space to a lower-dimensional projective space has been added. Also some of the notation has been altered to bring…