16 citations · 17 across the 5 of their papers we have counts for
5 papers
Fano schemes of generic intersections and machine learning
Franz Király, Paul Larsen
We investigate Fano schemes of conditionally generic intersections, i.e. of hypersurfaces in projective space chosen generically up to additional conditions. Via a correspondence b…
Notes on Fano varieties of complete intersections
Paul Larsen
Fano varieties are subvarieties of the Grassmannian whose points parametrize linear subspaces contained in a given projective variety. These expository notes give an account of res…
Complete intersections and movable curves on the moduli space of six-pointed rational curves
Paul L. Larsen
A curve on a projective variety is called movable if it belongs to an algebraic family of curves covering the variety. We consider when the cone of movable curves can be characteri…
Permutohedral spaces and the Cox ring of the moduli space of stable pointed rational curves
Paul Larsen
We study the Cox ring of the moduli space of stable pointed rational curves, \M_{0,n}, via the closely related permutohedral (or Losev-Manin) spaces. Our main result establishes \b…
Fulton's Conjecture for \bar{M}_{0,7}
Paul Larsen
Fulton's conjecture for the moduli space of stable pointed rational curves, \bar{M}_{0,n}, claims that a divisor non-negatively intersecting all F-curves is linearly equivalent to…