54 citations · 210 across the 33 of their papers we have counts for
5 papers · 1 filter
Discriminants of stable rank two sheaves on some general type surfaces
Benjamin Schmidt, Benjamin Sung
We prove sharp bounds on the discriminants of stable rank two sheaves on surfaces in three-dimensional projective space. The key technical ingredient is to study them as torsion sh…
Rank two sheaves with maximal third Chern character in three-dimensional projective space
Benjamin Schmidt
We give a complete classification of semistable rank two sheaves on three-dimensional projective space with maximal third Chern character. This implies an explicit description of t…
Almost Isotropic Kaehler Manifolds
Benjamin Schmidt, Krishnan Shankar, Ralf Spatzier
Let be a complete Riemannian manifold and suppose . For each unit vector , the , is…
Metric Foliations of Homogeneous Three-Spheres
Meera Mainkar, Benjamin Schmidt
A smooth foliation of a Riemannian manifold is metric when its leaves are locally equidistant and is homogenous when its leaves are locally orbits of a Lie group acting by isometri…
Derived categories and the genus of space curves
Emanuele Macrì, Benjamin Schmidt
We generalize a classical result about the genus of curves in projective space by Gruson and Peskine to principally polarized abelian threefolds of Picard rank one. The proof is ba…