James Tao

activity

20192022

most cited

n

-excisive functors, canonical connections, and line bundles on the Ran space

2 citations · 4 across the 5 of their papers we have counts for

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4 papers · 1 filter

math.AG2022

Equivariant Vector Bundles on Varieties with Codimension-one Orbits

Lucas Mason-Brown, James Tao

Let $G$ be an algebraic group and let $X$ be a smooth $G$ -variety with two orbits: an open orbit and a a closed orbit of codimension $1$ . We give an algebraic description of the ca…

math.AG2020

$Gr_{G, Ran (X)}$ is reduced

James Tao

Let $k$ be a field of characteristic zero. Fix a smooth algebraic curve $X$ and a split reductive group $G$ over $k$ . We show that the Beilinson--Drinfeld affine Grassmannian $\mat…

math.AG2019★ 2 cited

$n$ -excisive functors, canonical connections, and line bundles on the Ran space

James Tao

Let $X$ be a smooth algebraic variety over $k$ . We prove that any flat quasicoherent sheaf on $Ran (X)$ canonically acquires a D-module structure. In addition, we pro…

math.AG2019

Extensions by $K_{2}$ and factorization line bundles

James Tao, Yifei Zhao

Let $X$ be a smooth, geometrically connected curve over a perfect field $k$ . Given a connected, reductive group $G$ , we prove that central extensions of $G$ by the sheaf $\mathbf K…

Equivariant Vector Bundles on Varieties with Codimension-one Orbits

GrG,Ran(X)​ is reduced

n-excisive functors, canonical connections, and line bundles on the Ran space

Extensions by K2​ and factorization line bundles

$Gr_{G, Ran (X)}$ is reduced

$n$ -excisive functors, canonical connections, and line bundles on the Ran space

Extensions by $K_{2}$ and factorization line bundles