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- W2949273062 abstract "Let $Y$ be a singular algebraic variety and let $TY$ be a resolution of singularities of $Y$. Assume that the exceptional locus of $TY$ over $Y$ is an irreducible divisor $TZ$ in $TY$. For every Lefschetz decomposition of $TZ$ we construct a triangulated subcategory $TD subset D^b(TY)$ which gives a desingularization of $D^b(Y)$. If the Lefschetz decomposition is generated by a vector bundle tilting over $Y$ then $TD$ is a noncommutative resolution, and if the Lefschetz decomposition is rectangular, then $TD$ is a crepant resolution." @default.
- W2949273062 created "2019-06-27" @default.
- W2949273062 creator A5086303779 @default.
- W2949273062 date "2006-09-08" @default.
- W2949273062 modified "2023-09-27" @default.
- W2949273062 title "Lefschetz decompositions and Categorical resolutions of singularities" @default.
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