2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.AC2002★ 2 cited
Extensions of a Dualizing Complex by its Ring: Commutative Versions of a Conjecture of Tachikawa
L. L. Avramov, R. -O. Buchweitz, L. M. Sega
Let $(R,\fm,k)$ be a commutative noetherian local ring with dualizing complex $\dua R$, normalized by $\Ext^{\depth(R)}_R(k,\dua R)\cong k$. Partly motivated by a long standing con…
math.RA1999
Artin Algebras with Loops but no Outer Derivations
R. -O. Buchweitz, S. Liu
We construct Artin algebras with vanishing first Hochschild Cohomology but a loop in their ordinary quiver. Some authors guessed earlier that such examples could not exist.
math.AG1999
The Atiyah-Chern Character yields the Semiregularity Map as well as the Infinitesimal Abel-Jacobi Map
R. -O. Buchweitz, H. Flenner
We construct a general semiregularity map for cycles on a complex analytic or algebraic manifold and show that such semiregularity map can be obtained from the classical tool of th…