Quasi-asymptotically conical Calabi–Yaumanifolds
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Bibliographic record
Abstract
We construct new examples of quasi-asymptotically conical (QAC) Calabi-Yau manifolds that are not quasi-asymptotically locally Euclidean (QALE).We do so by first providing a natural compactification of QAC-spaces by manifolds with fibered corners and by giving a definition of QAC-metrics in terms of an associated Lie algebra of smooth vector fields on this compactification.Thanks to this compactification and the Fredholm theory for elliptic operators on QAC-spaces developed by the second author and Mazzeo, we can in many instances obtain Khler QACmetrics having Ricci potential decaying sufficiently fast at infinity.This allows us to obtain QAC Calabi-Yau metrics in the Khler classes of these metrics by solving a corresponding complex Monge-Ampre equation. 53C55, 58J05Appendix.More examples of Khler-Einstein orbifolds admitting a crepant resolution 95
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.018 | 0.005 |
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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