arXiv subjects

Morgan V. Brown

Publications and source records attributed to Morgan V. Brown.

2 recordsLinked to original sources

arXiv2018

Chip-firing groups of iterated cones

Let $Γ$ be a finite graph and let $Γ_n$ be the "$n$th cone over $Γ$" (i.e., the join of $Γ$ and the complete graph $K_n$). We study the asymptotic structure of the chip-firing group $\text{Pic}^0(Γ_n)$.

math.CO↗

arXiv2012

Singularities of Cox Rings of Fano Varieties

Let $X$ be a smooth complete Fano variety over $\mathbb{C}$. We show that the Cox ring $\bigoplus_{L\in\text{Pic}(X)}H^0(X,\mathcal{O}_X(L))$ is Gorenstein with canonical singularities.

math.AG↗