Details
| Original language | English |
|---|---|
| Publication status | E-pub ahead of print - 20 Mar 2024 |
Abstract
Keywords
- math.AG, 14F08, 14E08 (primary), 14M20, 14D06 (secondary)
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2024.
Research output: Working paper/Preprint › Preprint
}
TY - UNPB
T1 - Derived categories of quartic double fivefolds
AU - Cheng, Raymond
AU - Perry, Alexander
AU - Zhao, Xiaolei
N1 - 21 pages, comments welcome!
PY - 2024/3/20
Y1 - 2024/3/20
N2 - We construct singular quartic double fivefolds whose Kuznetsov component admits a crepant categorical resolution of singularities by a twisted Calabi--Yau threefold. We also construct rational specializations of these fivefolds where such a resolution exists without a twist. This confirms an instance of a higher-dimensional version of Kuznetsov's rationality conjecture, and of a noncommutative version of Reid's fantasy on the connectedness of the moduli of Calabi--Yau threefolds.
AB - We construct singular quartic double fivefolds whose Kuznetsov component admits a crepant categorical resolution of singularities by a twisted Calabi--Yau threefold. We also construct rational specializations of these fivefolds where such a resolution exists without a twist. This confirms an instance of a higher-dimensional version of Kuznetsov's rationality conjecture, and of a noncommutative version of Reid's fantasy on the connectedness of the moduli of Calabi--Yau threefolds.
KW - math.AG
KW - 14F08, 14E08 (primary), 14M20, 14D06 (secondary)
M3 - Preprint
BT - Derived categories of quartic double fivefolds
ER -