Ragnar-Olaf Buchweitz
Professor University of Toronto, Department of Mathematics
- Toronto ON
Professor Buchweitz researches Commutative and Homological Algebra and Algebraic Geometry, Singularity Theory
University of Toronto, Department of Mathematics
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Research Interests
Accomplishments
Humbolt Research Award
2010
Education
University of Hannover
Ph.D.
Mathematics
1976
University of Hannover
M.Sc.
Mathematics
1972
University Paris VII
Thèses d'Etat
Mathematics
1981
Languages
- English
- French
- German
Articles
Non-commutative desingularization of determinantal varieties, II: Arbitrary minors
International Mathematics Research Notices2015
In our paper “Non-commutative desingularization of determinantal varieties I”, we constructed and studied non-commutative resolutions of determinantal varieties defined by maximal minors. At the end of the introduction, we asserted that the results could be ...
On the derived category of Grassmannians in arbitrary characteristic
Compositio Mathematica2015
In this paper we consider Grassmannians in arbitrary characteristic. Generalizing Kapranov's well-known characteristic-zero results, we construct dual exceptional collections on them (which are, however, not strong) as well as a tilting bundle. We show that this ...
Strong global dimension of commutative rings and schemes
Journal of Algebra2015
The strong global dimension of a ring is the supremum of the length of perfect complexes that are indecomposable in the derived category. In this note we characterize the noetherian commutative rings that have finite strong global dimension. We also give a ...
The multiplicative structure on Hochschild cohomology of a complete intersection
Journal of Pure and Applied Algebra2015
We determine the product structure on Hochschild cohomology of commutative algebras in low degrees, obtaining the answer in all degrees for complete intersection algebras. As applications, we consider cyclic extension algebras as well as Hochschild ...
Hochschild (co-) homology of schemes with tilting object
Transactions of the American Mathematical Society2013
Given a $ k $-scheme $ X $ that admits a tilting object $ T $, we prove that the Hochschild (co-) homology of $ X $ is isomorphic to that of $ A=\ operatorname {End} _ {X}(T) $. We treat more generally the relative case when $ X $ is flat over an affine scheme ...
