Matches in SemOpenAlex for { <https://semopenalex.org/work/W2893374932> ?p ?o ?g. }
- W2893374932 endingPage "424" @default.
- W2893374932 startingPage "381" @default.
- W2893374932 abstract "In this paper we study Schlichting's K-theory groups of the Buchweitz-Orlov singularity category $mathcal{D}^{sg}(X)$ of a quasi-projective algebraic scheme $X/k$ with applications to Algebraic K-theory. We prove that for isolated quotient singularities $mathrm{K}_0(mathcal{D}^{sg}(X))$ is finite torsion, and that $mathrm{K}_1(mathcal{D}^{sg}(X)) = 0$. One of the main applications is that algebraic varieties with isolated quotient singularities satisfy rational Poincare duality on the level of the Grothendieck group; this allows computing the Grothendieck group of such varieties in terms of their resolution of singularities. Other applications concern the Grothendieck group of perfect complexes supported at a singular point and topological filtration on the Grothendieck groups." @default.
- W2893374932 created "2018-10-05" @default.
- W2893374932 creator A5041949924 @default.
- W2893374932 creator A5067662284 @default.
- W2893374932 date "2021-09-11" @default.
- W2893374932 modified "2023-09-24" @default.
- W2893374932 title "K-theory and the singularity category of quotient singularities" @default.
- W2893374932 cites W1488162470 @default.
- W2893374932 cites W1569582035 @default.
- W2893374932 cites W1572341022 @default.
- W2893374932 cites W1576679836 @default.
- W2893374932 cites W1696579274 @default.
- W2893374932 cites W1823620696 @default.
- W2893374932 cites W1899613076 @default.
- W2893374932 cites W1970549058 @default.
- W2893374932 cites W1975091179 @default.
- W2893374932 cites W1985332359 @default.
- W2893374932 cites W1993682645 @default.
- W2893374932 cites W1997400470 @default.
- W2893374932 cites W2008750675 @default.
- W2893374932 cites W2010667907 @default.
- W2893374932 cites W2013586195 @default.
- W2893374932 cites W201935133 @default.
- W2893374932 cites W2020436301 @default.
- W2893374932 cites W2020842652 @default.
- W2893374932 cites W2021011913 @default.
- W2893374932 cites W202413933 @default.
- W2893374932 cites W2029081360 @default.
- W2893374932 cites W2032163382 @default.
- W2893374932 cites W2035259373 @default.
- W2893374932 cites W2040960384 @default.
- W2893374932 cites W2041766909 @default.
- W2893374932 cites W2047243671 @default.
- W2893374932 cites W2048079871 @default.
- W2893374932 cites W2049139733 @default.
- W2893374932 cites W2053480876 @default.
- W2893374932 cites W2053568206 @default.
- W2893374932 cites W2055544431 @default.
- W2893374932 cites W2057221822 @default.
- W2893374932 cites W2063051080 @default.
- W2893374932 cites W2067789328 @default.
- W2893374932 cites W2067799178 @default.
- W2893374932 cites W2069288495 @default.
- W2893374932 cites W2075105830 @default.
- W2893374932 cites W2086580418 @default.
- W2893374932 cites W2089521132 @default.
- W2893374932 cites W2095877551 @default.
- W2893374932 cites W2102414993 @default.
- W2893374932 cites W2118660796 @default.
- W2893374932 cites W2123499714 @default.
- W2893374932 cites W2128462736 @default.
- W2893374932 cites W2137932662 @default.
- W2893374932 cites W2149196700 @default.
- W2893374932 cites W2154450439 @default.
- W2893374932 cites W2158130399 @default.
- W2893374932 cites W2312828627 @default.
- W2893374932 cites W2589944543 @default.
- W2893374932 cites W2776063133 @default.
- W2893374932 cites W2962869523 @default.
- W2893374932 cites W2963088362 @default.
- W2893374932 cites W2963190075 @default.
- W2893374932 cites W2963703310 @default.
- W2893374932 cites W2963728095 @default.
- W2893374932 cites W2963831594 @default.
- W2893374932 cites W2964313006 @default.
- W2893374932 cites W2964349448 @default.
- W2893374932 cites W3028363430 @default.
- W2893374932 cites W3034685013 @default.
- W2893374932 cites W3105417521 @default.
- W2893374932 cites W4231216667 @default.
- W2893374932 cites W4233707137 @default.
- W2893374932 cites W4248269519 @default.
- W2893374932 cites W4248797717 @default.
- W2893374932 cites W4361793526 @default.
- W2893374932 cites W59706265 @default.
- W2893374932 cites W624596608 @default.
- W2893374932 cites W79858623 @default.
- W2893374932 cites W93014080 @default.
- W2893374932 cites W1532109955 @default.
- W2893374932 cites W4298355715 @default.
- W2893374932 doi "https://doi.org/10.2140/akt.2021.6.381" @default.
- W2893374932 hasPublicationYear "2021" @default.
- W2893374932 type Work @default.
- W2893374932 sameAs 2893374932 @default.
- W2893374932 citedByCount "8" @default.
- W2893374932 countsByYear W28933749322018 @default.
- W2893374932 countsByYear W28933749322020 @default.
- W2893374932 countsByYear W28933749322021 @default.
- W2893374932 countsByYear W28933749322023 @default.
- W2893374932 crossrefType "journal-article" @default.
- W2893374932 hasAuthorship W2893374932A5041949924 @default.
- W2893374932 hasAuthorship W2893374932A5067662284 @default.
- W2893374932 hasBestOaLocation W28933749322 @default.
- W2893374932 hasConcept C121332964 @default.
- W2893374932 hasConcept C122022638 @default.
- W2893374932 hasConcept C12843 @default.
- W2893374932 hasConcept C134306372 @default.
- W2893374932 hasConcept C136119220 @default.