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pro vyhledávání: '"Jesse Burke"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 11 (2023)
Given a bounded-above cochain complex of modules over a ring, it is standard to replace it by a projective resolution, and it is classical that doing so can be very useful.
Externí odkaz:
https://doaj.org/article/64de637045b34ae58a27b84ab1cf773f
Autor:
Jesse Burke
Publikováno v:
Journal of Pure and Applied Algebra. 222:4099-4125
Given a graded module over a commutative ring , we define a dg-Lie algebra whose Maurer–Cartan elements are the strictly unital A ∞ -algebra structures on that module. We use this to generalize Positselski's result that a curvature term on the ba
Autor:
Jesse Burke, Mark E. Walker
Publikováno v:
Transactions of the American Mathematical Society. 367:3323-3370
We observe that there is an equivalence between the singularity category of an affine complete intersection and the homotopy category of matrix factorizations over a related scheme. This relies in part on a theorem of Orlov. Using this equivalence, w
Publikováno v:
SID Symposium Digest of Technical Papers. 45:377-380
Wearable devices, fueled by sensor and context-based technologies, are capturing the imaginations of device makers. While the benefits seem limitless, their demands impose constraints on system and display design. Qualcomm® Mirasol™ displays, as e
Publikováno v:
Journal of Pure and Applied Algebra. 216(10):2256-2268
We give a complete description of the cone of Betti diagrams over a standard graded hypersurface ring of the form k[x,y]/, where q is a homogeneous quadric. We also provide a finite algorithm for decomposing Betti diagrams, including diagrams of infi
Autor:
Jesse Burke, Mark E. Walker
Publikováno v:
Homology Homotopy Appl. 14, no. 2 (2012), 37-61
We study matrix factorizations of locally free coherent sheaves on a scheme. For a scheme that is projective over an affine scheme, we show that homomorphisms in the homotopy category of matrix factorizations may be computed as the hypercohomology of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac8f8f86764d2b86e0565780032e7b21
http://projecteuclid.org/euclid.hha/1355321479
http://projecteuclid.org/euclid.hha/1355321479
Autor:
Jesse Burke
We study rings which have Noetherian cohomology under the action of a ring of cohomology operators. The main result is a criterion for a complex of modules over such a ring to have finite injective dimension. This criterion generalizes, by removing f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::632ea47abe792ad2e174c42f33f1793e
Publikováno v:
MATHEMATICA SCANDINAVICA. 116:23
A finitely generated module over a commutative noetherian ring of finite Krull dimension can be built from the prime ideals in the singular locus by iteration of three procedures: taking extensions, direct summands, and cosyzygies. In 2003 Schoutens