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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.

168,657 papers · 148 categories

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10 results for “Skoda”

Uniform Skoda integrability and Calabi-Yau degenerationmath.DG

Uniform estimates for Calabi-Yau degenerations proved.

problem Calabi-Yau degenerations of polarised algebraic manifolds.

method Uniform Skoda and

L^\infty

-estimates for Kähler potentials.

result Uniform Skoda type estimate and

L^\infty

-estimate for Calabi-Yau Kähler potentials proved.

Calabi-Yau degeneration Kähler potentials Skoda estimate

2020-06-30abs ↗pdf ↗

A degeneration approach to Skoda's Division Theoremmath.CV

Proves Skoda's Division Theorem using degeneration and positivity of direct image bundles.

problem Division Theorem in Skoda's context

method Degeneration approach inspired by B. Berndtsson and L. Lempert's

L^2

extension theorem

result Simplified and extended proof of

L^2

extension theorem

Division Theorem Skoda Degeneration Positivity of Direct Image Bundles L2 Extension Theorem

2022-12-14abs ↗pdf ↗

From division to extensionmath.CV

A new proof of an extension theorem with bounded generators.

problem Extension theorems in complex analysis.

method Skoda-type

L^2

division theorem with bounded generators.

result The new division theorem allows

α

to be 1 in the norm of the datum.

complex analysis extension theorem Skoda division bounded generators

2025-03-02abs ↗pdf ↗

Skoda-Zeriahi type integrability and entropy compactness for some measure with

L^1

-densitymath.DG

Paper proves integrability and entropy compactness for Kähler potentials with uniform log-log threshold.

problem Integrability and entropy compactness for Kähler potentials with specific density.

method Skoda-Zeriahi type integrability theorem and log-log threshold detection.

result Positivity of integrability threshold and entropy compactness for uniform log-log threshold.

Kähler potentials integrability entropy compactness log-log threshold Ohsawa-Takegoshi extension

2024-03-28abs ↗pdf ↗

Division Theorems for Exact Sequencesmath.DG

Under certain integrability and geometric conditions, we prove division theorems for the exact sequences of holomorphic vector bundles and improve the results in the case of Koszul complex. By introducing a singular Hermitian structure on the trivial bundle, our results recover Skoda's division theorem for holomorphic …

2011-02-19abs ↗pdf ↗

Generically surjective morphisms of holomorphic vector bundles via degenerationsmath.CV

Proves generic surjectivity of vector bundles via degeneration.

problem Understanding generic surjectivity of vector bundles.

method Uses degeneration argument, Berndtsson's theorem, and Lempert's proof.

result Generalizes previous work on

L^2

division theorem.

vector bundles holomorphic generically surjective degeneration L^2

2025-03-02abs ↗pdf ↗

Asymptotics of small eigenvalues on degenerations of Kähler manifoldsmath.DG

Study small eigenvalues on Kähler manifolds degenerating with induced metrics.

problem Analyzing the asymptotic rates of small eigenvalues on degenerate Kähler manifolds.

method Combining Li's uniform Skoda inequality with Monge-Ampère equations.

result Established exact asymptotic rates for small eigenvalues.

eigenvalues Kähler manifolds degenerations Li's inequality Monge-Ampère equations

2026-05-08abs ↗pdf ↗

Positive forms on hyperkahler manifoldsmath.CV

Let $(M,I,J,K)$ be a hyperkaehler manifold, $\dim_\R M =4n$ . We study positive, Dolbeault-closed $(2p,0)$ -forms on $(M,I)$ . These forms are quaternionic analogues of the positive $(p,p)$ -forms. We construct an injective homomorphism mapping Dolbeault-closed $(2p,0)$ -forms to closed $(n+p,n+p)$ -forms, and positive $(2p,…

2008-01-12abs ↗pdf ↗

On the Ohsawa-Takegoshi

L^2

extension theorem and removable singularities of plurisubharmonic functionsmath.CV

Paper extends Ohsawa-Takegoshi theorem to more general domains, proving removable singularities for plurisubharmonic functions.

problem Removable singularities of plurisubharmonic functions on complex domains.

method Extending Ohsawa-Takegoshi

L^2

extension theorem to more general bounded complete Kähler domains.

result Proves removable singularities for plurisubharmonic functions across compact complete pluripolar sets.

Ohsawa-Takegoshi theorem removable singularities plurisubharmonic functions Kähler domains holomorphic sections

2023-04-21abs ↗pdf ↗

Human Activity Recognition from Wearable Sensor Data Using Self-Attentioncs.CV

Self-attention model improves HAR from wearable sensors.

problem Capturing spatio-temporal context from sensor data.

method Proposes a self-attention based neural network model.

result Significant performance improvement over state-of-the-art models.

Human Activity Recognition Wearable Sensor Data Self-Attention Neural Network Sensor Attention Maps

2020-03-17abs ↗pdf ↗