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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,181 papers · 148 categories

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3 results for “p-SKT”
Co-polarised Deformations of Gauduchon Calabi-Yau ∂∂ˉ\partial\bar{\partial}-Manifolds and Deformation of pp-SKT hh-∂∂ˉ\partial\bar{\partial}-Manifoldsmath.DG

The paper studies deformations of Calabi-Yau manifolds using Gauduchon metrics.

problem Deformations of Calabi-Yau manifolds under co-polarised conditions.
method Analyzes local deformations of Calabi-Yau ∂∂ˉ\partial\bar{\partial}-manifolds using Gauduchon metrics and constructs a new hphp-HS form.
result Proves the pp-SKT hh-∂∂ˉ\partial\bar{\partial}-property is deformation open.
Calabi-Yau manifoldsGauduchon metricsDeformationsSKT formsHermitian symplectic forms
2021-06-24abs ↗pdf ↗
Deformation Stability of p-SKT and p-HS manifoldsmath.DG

The paper generalizes SKT and HS properties to arbitrary p and studies their deformation stability.

problem Studying deformation stability of p-SKT and p-HS manifolds.
method Introducing p-hermitian-symplectic and p-pluriclosed manifolds, proving equivalence and deformation openness on ∂∂-manifolds.
result The cones of Aeppli cohomology classes of strictly weakly positive (p,p)-forms are equal on the limit fibre under certain assumptions.
deformation stabilityp-SKTp-HSmanifoldscohomology
2018-09-01abs ↗pdf ↗
Deformations of Non-Kähler Hyperbolicity Notions and Modifications of Degenerate Balanced Manifoldsmath.CV

Study on new hyperbolicity notions for non-Kähler manifolds and their deformations.

problem Analyzing new hyperbolicity notions for non-Kähler complex manifolds.
method Introducing and analyzing two new notions of hyperbolicity for compact complex non-Kähler manifolds, and studying their behavior under smooth modifications.
result Established openness results for pp-HS hyperbolicity and pp-Kähler hyperbolicity under holomorphic deformations.
non-Kähler manifoldshyperbolicitydeformationsbalanced manifoldsp-Kähler hyperbolicity
2025-12-22abs ↗pdf ↗