Geometric Phantom Categories
By S. Gorchinskiy, Dmitri Orlov. Publications mathématiques (Bures-sur-Yvette), 2012
67 citations recorded by the source corpus.
In this paper we give a construction of phantom categories, i.e. admissible triangulated subcategories in bounded derived categories of coherent sheaves on smooth projective varieties that have trivial Hochschild homology and trivial Grothendieck group. We also prove that these phantom categories are phantoms in a stronger sense, namely, they has trivial K-motives and, hence, all their higher K-groups are trivial too.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/c3949a147030c20e99c36a9b7d6a7f743673f8aa
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In Geometry and Topology
- Christian Bohning
- Hans-Christian Graf von Bothmer
- Pawel Sosna
- L. Katzarkov
- P. Seidel
- Alexander Kuznetsov
- D. Auroux
- Yankı Lekili
In Mathematical Physics
- Christian Bohning
- Hans-Christian Graf von Bothmer
- Pawel Sosna
- L. Katzarkov
- P. Seidel
- Alexander Kuznetsov
- Yankı Lekili
- Dmitri Orlov
Citations in the corpus
- Determinantal Barlow surfaces and phantom categories (2012, background): “;t 1 ;:::;L 11;t 1 iand hL 1;t 2 ;:::;L 11;t 2 iare equivalent. Furthermore, D b(S) itself has a phantom. After the discovery of the main results of this paper, we learned that Gorchinskiy and Orlov ([GorOrl]) very recently produced another phantom category in the bounded derived category of a produ”