8 citations · 19 across the 12 of their papers we have counts for
12 papers
Explicit Chern Cycles in BGL and KV-theory
Paulo Lima-Filho
Using determinantal schemes, we construct explicit cycles in the higher Chow complex of BGL that represent the universal Chern classes in higher Chow groups. As an application, we…
Regulator Maps for Higher Chow Groups via Current Transforms
Pedro F. dos Santos, Robert M. Hardt, Paulo Lima-Filho
We show how to use equidimensional algebraic correspondences between complex algebraic varieties to construct pull-backs and transforms of certain classes of geometric currents. Us…
Arithmetic toric varieties
E. Javier Elizondo, Paulo Lima-Filho, Frank Sottile +1
We study toric varieties over a field k that split in a Galois extension K/k using Galois cohomology with coefficients in the toric automorphism group. Part of this Galois cohomolo…
Holonomy Lie algebras and the LCS formula for subarrangements of A_n
Paulo Lima-Filho, Hal Schenck
If X is the complement of a hypersurface in P^n, then Kohno showed that the nilpotent completion of the fundamental group is isomorphic to the nilpotent completion of the holonomy…
Integral Deligne Cohomology for Real Varieties
Pedro F. dos Santos, Paulo Lima-Filho
We develop an integral version of Deligne cohomology for smooth proper real varieties. For this purpose the role played by singular cohomology in the complex case has to be replace…
Efficient computation of resonance varieties via Grassmannians
P. Lima-Filho, H. Schenck
Associated to the cohomology ring A of the complement X(A) of a hyperplane arrangement A in complex m-space are the resonance varieties R^k(A). The most studied of these is R^1(A),…