56 citations · 119 across the 18 of their papers we have counts for
4 papers · 1 filter
Fiber integration of gerbes and Deligne line bundles
Ettore Aldrovandi, Niranjan Ramachandran
Let be a family of smooth projective curves, and let and be a pair of line bundles on . We show that Deligne's line bundle can be obta…
Cup products, the Heisenberg group, and codimension two algebraic cycles
Ettore Aldrovandi, Niranjan Ramachandran
We define higher categorical invariants (gerbes) of codimension two algebraic cycles and provide a categorical interpretation of the intersection of divisors on a smooth proper alg…
Notes on Weak Units of Group-Like 1- and 2-Stacks
Ettore Aldrovandi, Ahmet Emin Tatar
The weak units of strict monoidal 1- and 2-categories are already defined. In this paper, we define them for group-like 1- and 2-stacks. We show that they form a contractible Picar…
Hermitian-holomorphic Deligne cohomology, Deligne pairing for singular metrics, and hyperbolic metrics
Ettore Aldrovandi
We introduce a model for Hermitian holormorphic Deligne cohomology on a projective algebraic manifold which allows to incorporate singular hermitian structures along a normal cross…