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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.

168,742 papers · 148 categories

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5 results for “p-pluriclosed”

Special structures on almost abelian solvmanifoldsmath.DG

Characterizes almost abelian Lie algebras with integrable complex structure

problem Classifying almost abelian Lie algebras

method Using presentations consisting of a real number, an element in a vector space, and an endomorphism

result Classifies

p

-Kähler,

p

-pluriclosed, Kähler, balanced, pluriclosed, and Gauduchon metrics

Lie algebra integrable complex structure p-Kähler p-pluriclosed Kähler

2026-06-08abs ↗pdf ↗

Deformation Stability of p-SKT and p-HS manifoldsmath.DG

In this paper, we introduce the notions of $p$ -Hermitian-symplectic and $p$ -pluriclosed compact complex manifolds as generalisations for an arbitrary positive integer $p$ not exceeding the complex dimension of the manifold of the standard notions of Hermitian-symplectic and SKT manifolds that correspond to the case $p=…

2018-09-01abs ↗pdf ↗

p

-symplectic and

p

-pluriclosed structures on solvmanifoldsmath.DG

The study provides obstructions and examples for $p$ -symplectic structures on complex manifolds.

problem Obstructing the existence of

p

-symplectic structures on compact complex manifolds.

method Analyzing properties of

(p,p)

-transverse forms and

2p

-forms.

result Found obstructions and examples of

p

-symplectic structures on compact complex manifolds.

symplectic structures complex manifolds transverse forms obstructions

2024-07-16abs ↗pdf ↗

Special Hermitian structures on suspensionsmath.DG

Study of Hermitian structures on toric suspensions of balanced manifolds.

problem Exploring Hermitian structures on specific types of manifolds.

method Analysis of toric suspensions of Calabi-Yau and hyperkähler manifolds under holomorphic automorphisms.

result Suspensions of hyperkähler manifolds do not admit certain Hermitian metrics.

Hermitian structures toric suspensions balanced manifolds Calabi-Yau manifolds hyperkähler manifolds

2022-08-25abs ↗pdf ↗

p-Kähler structures on compact complex manifoldsmath.DG

The paper explores $p$ -Kähler structures on complex manifolds and their properties.

problem Addressing conjectures on specific types of complex manifolds and their structures.

method Analyzing

(n-2)

-Kähler nilmanifolds and holomorphically parallelizable nilmanifolds, deriving necessary conditions for smooth curves of

p

-Kähler structures, studying cohomology classes, and providing examples.

result Derives necessary conditions for the existence of smooth curves of

p

-Kähler structures and provides examples of compact complex manifolds with

p

-Kähler structures.

complex manifolds Kähler structures nilmanifolds holomorphic parallelizability cohomology classes

2025-06-16abs ↗pdf ↗