Tilting complexes and codimension functions over commutative noetherian rings

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F24%3A00599938" target="_blank" >RIV/67985840:_____/24:00599938 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/24:10489701
Result on the web
<a href="https://doi.org/10.1017/nmj.2024.1" target="_blank" >https://doi.org/10.1017/nmj.2024.1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/nmj.2024.1" target="_blank" >10.1017/nmj.2024.1</a>

Result language
angličtina
Original language name
Tilting complexes and codimension functions over commutative noetherian rings
Original language description
In the derived category of a commutative noetherian ring, we explicitly construct a silting object associated with each sp-filtration of the Zariski spectrum satisfying the “slice” condition. Our new construction is based on local cohomology and it allows us to study when the silting object is tilting. For a ring admitting a dualizing complex, this occurs precisely when the sp-filtration arises from a codimension function on the spectrum. In the absence of a dualizing complex, the situation is more delicate and the tilting property is closely related to the condition that the ring is a homomorphic image of a Cohen–Macaulay ring. We also provide dual versions of our results in the cosilting case.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA20-13778S" target="_blank" >GA20-13778S: Symmetries, dualities and approximations in derived algebraic geometry and representation theory</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)