8 citations · 22 across the 5 of their papers we have counts for
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Vector bundles on contractible smooth schemes
Aravind Asok, Brent Doran
We discuss algebraic vector bundles on smooth k-schemes X contractible from the standpoint of A^1-homotopy theory; when k = C, the smooth manifolds X(C) are contractible as topolog…
Towards non-reductive geometric invariant theory
Brent Doran, Frances Kirwan
We study linear actions of algebraic groups on smooth projective varieties X. A guiding goal for us is to understand the cohomology of "quotients" under such actions, by generalizi…
On unipotent quotients and some A^1-contractible smooth schemes
Aravind Asok, Brent Doran
We study quotients of quasi-affine schemes by unipotent groups over fields of characteristic 0. To do this, we introduce a notion of stability which allows us to characterize exact…
Hurwitz Spaces and Moduli Spaces as Ball Quotients via Pull-back
Brent R. Doran
We define hypergeometric functions using intersection homology valued in a local system. Topology is emphasized; analysis enters only once, via the Hodge decomposition. By a pull-b…
Moduli Space of Cubic Surfaces as Ball Quotient via Hypergeometric Functions
Brent R. Doran
We describe hypergeometric functions of Deligne-Mostow type for open subsets of the configuration space of six points on P^2, induced from those for seven points on P^1. The seven…