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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.

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3 results for “p-SKT”

Co-polarised Deformations of Gauduchon Calabi-Yau

\partial\bar{\partial}

-Manifolds and Deformation of

p

-SKT

h

\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

\partial\bar{\partial}

-manifolds using Gauduchon metrics and constructs a new

hp

-HS form.

result Proves the

p

-SKT

h

\partial\bar{\partial}

-property is deformation open.

Calabi-Yau manifolds Gauduchon metrics Deformations SKT forms Hermitian 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 stability p-SKT p-HS manifolds cohomology

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

p

-HS hyperbolicity and

p

-Kähler hyperbolicity under holomorphic deformations.

non-Kähler manifolds hyperbolicity deformations balanced manifolds p-Kähler hyperbolicity

2025-12-22abs ↗pdf ↗