Geoffrey Smith

activity

20172022

most citedVector bundles on trees of smooth rational curves

1 citations · 1 across the 4 of their papers we have counts for

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5 papers · 1 filter

math.AG2022

Stability and cohomology of kernel bundles on projective space

Izzet Coskun, Jack Huizenga, Geoffrey Smith

In this paper, we study the cohomology of vector bundles on projective space defined as kernels or cokernels of general maps $V_{1} \to V_{2}$ , where the $V_{i}$ are direct sums of line…

math.AG2021

Exceptional loci in Lefschetz theory

Sam Raskin, Geoffrey Smith

Let $ϕ : X \to P^{n}$ be a morphism of varieties. Given a hyperplane $H$ in $P^{n}$ , there is a Gysin map from the compactly supported cohomology of $ϕ^{- 1} (H)$ …

math.AG2021

Very free rational curves in Fano varieties

Izzet Coskun, Geoffrey Smith

Let $X$ be a projective variety and let $C$ be a rational normal curve on $X$ . We compute the normal bundle of $C$ in a general complete intersection of hypersurfaces of sufficient…

math.AG2020★ 1 cited

Vector bundles on trees of smooth rational curves

Geoffrey Smith

Given a vector bundle $E$ on a tree of smooth rational curves $C$ , we give necessary and sufficient conditions for a vector bundle $E^{'}$ on $P^{1}$ to specialize to $E$ on $C…

math.AG2019

Tilt stability and the degree of irrationality of surfaces on threefolds

Geoffrey Smith

Let $S$ be a smooth projective surface on a smooth threefold $X$ such that $X$ has Picard rank 1 and NS $(S)$ is generated by the restriction of divisors from X. We show that if $X$ …