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Original language | English |
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Publication status | E-pub ahead of print - 6 Mar 2023 |
Abstract
Keywords
- math.AG, math.CT
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2023.
Research output: Working paper/Preprint › Preprint
}
TY - UNPB
T1 - Asymmetry of ℙ-Functors
AU - Hochenegger, Andreas
AU - Krug, Andreas
N1 - 7 pages
PY - 2023/3/6
Y1 - 2023/3/6
N2 - Recently, a new definition of ℙ-functors was proposed by Anno and Logvinenko. In their article, the authors wonder whether this notion is symmetric in the sense that the adjoints of ℙ-functors are again ℙ-functors, the analogue being true for spherical functors. We give geometric examples involving the Hilbert scheme of points on a surface that yield a negative answer.
AB - Recently, a new definition of ℙ-functors was proposed by Anno and Logvinenko. In their article, the authors wonder whether this notion is symmetric in the sense that the adjoints of ℙ-functors are again ℙ-functors, the analogue being true for spherical functors. We give geometric examples involving the Hilbert scheme of points on a surface that yield a negative answer.
KW - math.AG
KW - math.CT
M3 - Preprint
BT - Asymmetry of ℙ-Functors
ER -