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math.AG2003★ 26 cited
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…
math.AG2002★ 5 cited
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…
math.AG1998
The Chow ring of a classifying space
Burt Totaro
We define the Chow ring of the classifying space of a linear algebraic group. In all the examples where we can compute it, such as the symmetric groups and the orthogonal groups, i…