Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Leuschke, Graham J."'
Autor:
Leuschke, Graham J., Tribone, Tim
Let $(S,\mathfrak n)$ be a regular local ring and $f$ a non-zero element of $\mathfrak n^2$. A theorem due to Kn\"orrer states that there are finitely many isomorphism classes of maximal Cohen-Macaulay $R=S/(f)$-modules if and only if the same is tru
Externí odkaz:
http://arxiv.org/abs/2110.02435
Autor:
Dugas, Alex S., Leuschke, Graham J.
A construction due to Kn\"orrer shows that if $N$ is a maximal Cohen-Macaulay module over a hypersurface defined by $f+y^2$, then the first syzygy of $N/yN$ decomposes as the direct sum of $N$ and its own first syzygy. This was extended by Herzog-Pop
Externí odkaz:
http://arxiv.org/abs/1709.01916
Autor:
Dugas, Alex S., Leuschke, Graham J.
Publikováno v:
In Journal of Algebra 1 April 2021 571:94-120
Autor:
Leuschke, Graham J., Wiegand, Roger
The Brauer-Thrall Conjectures, now theorems, were originally stated for finitely generated modules over a finite-dimensional $\sk$-algebra. They say, roughly speaking, that infinite representation type implies the existence of lots of indecomposable
Externí odkaz:
http://arxiv.org/abs/1211.3172
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 co
Externí odkaz:
http://arxiv.org/abs/1106.1833
Autor:
Leuschke, Graham J.
Non-commutative crepant resolutions are algebraic objects defined by Van den Bergh to realize an equivalence of derived categories in birational geometry. They are motivated by tilting theory, the McKay correspondence, and the minimal model program,
Externí odkaz:
http://arxiv.org/abs/1103.5380
Autor:
Crabbe, Andrew, Leuschke, Graham J.
Complete hypersurfaces of dimension at least 2 and multiplicity at least 4 have wild Cohen-Macaulay type.
Comment: 16 pages. v2 incorporates referee's suggested revisions; to appear in JPAA
Comment: 16 pages. v2 incorporates referee's suggested revisions; to appear in JPAA
Externí odkaz:
http://arxiv.org/abs/1008.2465
Publikováno v:
Compositio Mathematica 151 (2015) 1242-1264
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
Externí odkaz:
http://arxiv.org/abs/1006.1633
We show that determinantal varieties defined by maximal minors of a generic matrix have a non-commutative desingularization, in that we construct a maximal Cohen-Macaulay module over such a variety whose endomorphism ring is Cohen-Macaulay and has fi
Externí odkaz:
http://arxiv.org/abs/0911.2659