Now showing items 1-6 of 6
The minimal model program for the Hilbert scheme of points on P-2 and Bridgeland stability
In this paper, we study the birational geometry of the Hilbert scheme P-2[n] of n-points on P-2. We discuss the stable base locus decomposition of the effective cone and the corresponding birational models. We give modular ...
Restriction varieties and geometric branching rules
This paper develops a new method for studying the cohomology of orthogonal flag varieties. Restriction varieties are subvarieties of orthogonal flag varieties defined by rank conditions with respect to (not necessarily ...
Parameter spaces of Schubert varieties in hyperplane sections of Grassmannians
Linear sections of Grassmannians provide important examples of varieties. The geometry of these linear sections is closely tied to the spaces of Schubert varieties contained in them. In this paper, we describe the spaces ...
Singularities of Generalized Richardson Varieties
(Taylor and Francis, 2012-04)
Richardson varieties play an important role in intersection theory and in the geometric interpretation of the Littlewood-Richardson Rule for ag varieties. We discuss three natural generalizations of Richardson varieties ...
Effective Cones of Cycles on Blow-ups of Projective Space
(Mathematical Sciences Publishers, 2016-03-15)
In this paper, we study the cones of higher codimension (pseudo)effective cycles on point blow-ups of projective space. We determine bounds on the number of points for which these cones are generated by the classes of ...
Ulrich Schur Bundles on Flag Varieties
(Academic Press Inc., 2017-03-15)
In this paper, we study equivariant vector bundles on partial flag varieties arising from Schur functors. We show that a partial flag variety with three or more steps does not admit an Ulrich bundle of this form with ...