4 papers
The multiplicity sequence of monomial ideals
Sudipta Das, Jonathan Montaño, Aniketh Sivakumar
We give a convex-geometric formula for the multiplicity sequence of a monomial ideal in terms of mixed volumes of polytopes constructed from its Newton polyhedron. We also construc…
Semiorthogonal decompositions and components of derived categories of orthogonal Grassmannian fibrations
Saket Shah
Kuznetsov showed that for a flat quadric fibration over a smooth base , admits a semiorthogonal decomposition where one of the componen…
Twisted Arinkin transforms and derived categories of moduli spaces on Kuznetsov components
Moritz Hartlieb, Saket Shah
In this note, we generalize results of Donagi and Pantev on twisted derived equivalences between elliptically fibered surfaces to higher dimensions. First, we establish a twisted d…
Flips for spaces of quadrics on del Pezzo varieties
Saket Shah
For a cubic hypersurface , work of Galkin--Shinder and Voisin shows the existence of a birational map relating the Hilbert scheme of two points with a certain projecti…