15 citations · 43 across the 7 of their papers we have counts for
6 papers · 1 filter
Intersections via resolutions
Joseph Ross
We investigate the viability of defining an intersection product on algebraic cycles on a singular algebraic variety by pushing forward intersection products formed on a resolution…
The Hilbert-Chow morphism and the incidence divisor
Joseph Ross
For a smooth projective variety , we construct a Cartier divisor supported on the incidence locus in . There is a natural…
Weighted Bergman kernels on orbifolds
J. Ross, R. P. Thomas
We describe a notion of ampleness for line bundles on orbifolds with cyclic quotient singularities that is related to embeddings in weighted projective space, and prove a global as…
Weighted projective embeddings, stability of orbifolds and constant scalar curvature Kähler metrics
J. Ross, R. P. Thomas
We embed polarised orbifolds with cyclic stabiliser groups into weighted projective space via a weighted form of Kodaira embedding. Dividing by the (non-reductive) automorphisms of…
Seshadri constants on symmetric products of curves
J. Ross
Let X_g=C^{(2)}_g be the second symmetric product of a very general curve of genus g. We reduce the problem of describing the ample cone on X_g to a problem involving the Seshadri…
A study of the Hilbert-Mumford criterion for the stability of projective varieties
J. Ross, R. P. Thomas
We make a systematic study of the Hilbert-Mumford criterion for different notions of stability for polarised algebraic varieties ; in particular for K- and Chow stability. F…