56 citations · 119 across the 18 of their papers we have counts for
20 papers
On the Mac Lane -Construction for Exact -Categories
Ettore Aldrovandi, Arash Karimi
We extend McCarthy's stabilization construction to exact -categories. This is achieved by constructing, for any functor from exact -categories to a fixed stable $\i…
Symmetric Monoidal Bicategories and Biextensions
Ettore Aldrovandi, Milind Gunjal
We study monoidal 2-categories and bicategories in terms of categorical extensions and the cohomological data they determine in appropriate cohomology theories with coefficients in…
On Multi-Determinant Functors for Triangulated Categories
Ettore Aldrovandi, Cynthia Lester
We extend Deligne's notion of determinant functor to tensor triangulated categories. Specifically, to account for the multiexact structure of the tensor, we define a determinant fu…
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…
Lie algebroid cohomology and Lie algebroid extensions
Ettore Aldrovandi, Ugo Bruzzo, Vladimir Rubtsov
We consider the extension problem for Lie algebroids over schemes over a field. Given a locally free Lie algebroid Q over a scheme (X,O), and a sheaf of finitely generated Lie O-al…
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…