Morgan V. Brown

activity

20112024

most citedA geometric characterisation of toric varieties

19 citations · 52 across the 8 of their papers we have counts for

collaborators

Showing 2011Show all

2 papers · 1 filter

math.AG2011★ 5 cited

Singularities of Cox Rings of Fano Varieties

Morgan V. Brown

Let $X$ be a smooth complete Fano variety over $C$ . We show that the Cox ring $⨁_{L \in Pic (X)} H^{0} (X, O_{X} (L))$ is Gorenstein with canonical singulari…

math.AG2011★ 10 cited

Big $q$ -ample Line Bundles

Morgan V Brown

A recent paper of Totaro develops a theory of $q$ -ample bundles in characteristic 0. Specifically, a line bundle $L$ on $X$ is $q$ -ample if for every coherent sheaf $F$ o…

Singularities of Cox Rings of Fano Varieties

Big q-ample Line Bundles

Big $q$ -ample Line Bundles