16 citations · 32 across the 10 of their papers we have counts for
10 papers
Equivariant Vector Bundles on Varieties with Codimension-one Orbits
Lucas Mason-Brown, James Tao
Let be an algebraic group and let be a smooth -variety with two orbits: an open orbit and a a closed orbit of codimension . We give an algebraic description of the ca…
A colimit presentation of via the Bott-Samelson hypercover
James Tao, Roman Travkin
Let be a semisimple, simply connected algebraic group over an algebraically closed field of characteristic zero. We prove that the -category of D-modules on the loop gr…
Homotopical presentations of braid groups via reduced lifts
James Tao, Roman Travkin
In 1997, Deligne showed that the reduced lift presentation of a finite type generalized braid group remains correct if it is (suitably) interpreted as a presentation of a topologic…
is reduced
James Tao
Let be a field of characteristic zero. Fix a smooth algebraic curve and a split reductive group over . We show that the Beilinson--Drinfeld affine Grassmannian $\mat…
The affine Hecke category is a monoidal colimit
James Tao, Roman Travkin
Let be a semisimple simply-connected algebraic group over an algebraically closed field of characteristic zero. We prove that the affine Hecke category associated to the loop g…
-excisive functors, canonical connections, and line bundles on the Ran space
James Tao
Let be a smooth algebraic variety over . We prove that any flat quasicoherent sheaf on canonically acquires a D-module structure. In addition, we pro…
Extensions by and factorization line bundles
James Tao, Yifei Zhao
Let be a smooth, geometrically connected curve over a perfect field . Given a connected, reductive group , we prove that central extensions of by the sheaf $\mathbf K…
Hyperelliptic Curves with Maximal Galois Action on the Torsion Points of their Jacobians
Aaron Landesman, Ashvin Swaminathan, James Tao +1
In this article, we show that in each of four standard families of hyperelliptic curves, there is a density- subset of members with the property that their Jacobians have adelic…
Surjectivity of Galois Representations in Rational Families of Abelian Varieties
Aaron Landesman, Ashvin Swaminathan, James Tao +1
In this article, we show that for any non-isotrivial family of abelian varieties over a rational base with big monodromy, those members that have adelic Galois representation with…
Lifting Subgroups of Symplectic Groups over
Aaron Landesman, Ashvin Swaminathan, James Tao +1
For a positive integer , let denote the group of symplectic matrices over a ring . Assume . For a prime number , we give a…