Motivic tubular neighborhoods.
Motivically functorial coniveau spectral sequences; direct summands of cohomology of function fields.
Mp3 (0, 2d2) is singular.
Multigraded regularity: syzygies and fat points.
Multiple point Seshadri constants and the dimension of adjoint linear series
In this note multiple point Seshadri constants measuring the positivity of ample line bundles on complex projective varieties at a finite number of points are defined. A lower bound which is asymptotically optimal for a large number of points is proven for the constant at very general points. As an application estimates on the number of sections in adjoint linear systems are deduced.
Multiplicieites of discriminants.