Some results on the Hard Lefschetz Condition-Reference-Cited by-同舟云学术

Some results on the Hard Lefschetz Condition

Published:2018-12 Issue:13 Volume:29 Page:1850095
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Tomassini Adriano¹,Wang Xu²

Affiliation:

1. Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Unità di Matematica e Informatica, Università degli Studi di Parma, Parco Area delle Scienze 53/A, 43124, Parma, Italy

2. Department of Mathematical Sciences, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway

Abstract

We discuss the Hard Lefschetz Condition (HLC) on various cohomology groups and verify them for the Nakamura manifold of completely solvable type and the Kodaira-Thurston manifold. A general Demailly-Griffiths-Kähler identity is also given.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X18500957

Reference15 articles.

1. A differential complex for Poisson manifolds

2. On the cohomology of almost Kähler manifolds

3. On compact Kähler surfaces

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Homotopy BV-algebras in Hermitian geometry;Journal of Geometry and Physics;2024-10

2. HKT Manifolds: Hodge Theory, Formality and Balanced Metrics;The Quarterly Journal of Mathematics;2024-04-04

3. On Euler number of symplectic hyperbolic manifold;Advances in Mathematics;2024-02

4. Factors influencing autonomous vehicle adoption: an application of the technology acceptance model and innovation diffusion theory;Technology Analysis & Strategic Management;2020-10-05

5. L2-hard Lefschetz complete symplectic manifolds;Annali di Matematica Pura ed Applicata (1923 -);2020-06-06