26 citations · 32 across the 5 of their papers we have counts for
5 papers
The curvature of a Hessian metric
Burt Totaro
Following P. M. H. Wilson's paper on sectional curvatures of Kahler moduli, we consider a natural Riemannian metric on a hypersurface f=1 in a real vector space, defined using the…
Topology of singular algebraic varieties
Burt Totaro
I will discuss recent progress by many people in the program of extending natural topological invariants from manifolds to singular spaces. Intersection homology theory and mixed H…
Cheeger manifolds and the classification of biquotients
Burt Totaro
A closed manifold is called a biquotient if it is diffeomorphic to K\G/H for some compact Lie group G with closed subgroups K and H such that K acts freely on G/H. Biquotients are…
Curvature, diameter, and quotient manifolds
Burt Totaro
Gromov showed that there is an upper bound on the Betti numbers of all closed Riemannian n-manifolds of nonnegative sectional curvature. Grove asked whether such manifolds (if simp…
The resolution property for schemes and stacks
Burt Totaro
We prove the equivalence of two fundamental properties of algebraic stacks: being a quotient stack in a strong sense, and the resolution property, which says that every coherent sh…