Nearby Cycles of Stokes-Filtered Local Systems

Author(s):  
Claude Sabbah
Keyword(s):  
1993 ◽  
Vol 19 (1) ◽  
pp. 248 ◽  
Author(s):  
Cai-shi ◽  
Chuan-Song
Keyword(s):  

1991 ◽  
Vol 17 (1) ◽  
pp. 291
Author(s):  
Ene
Keyword(s):  

Land ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 30
Author(s):  
Filippo Gambella ◽  
Giovanni Quaranta ◽  
Nathan Morrow ◽  
Renata Vcelakova ◽  
Luca Salvati ◽  
...  

Understanding Soil Degradation Processes (SDPs) is a fundamental issue for humankind. Soil degradation involves complex processes that are influenced by a multifaceted ensemble of socioeconomic and ecological factors at vastly different spatial scales. Desertification risk (the ultimate outcome of soil degradation, seen as an irreversible process of natural resource destruction) and socioeconomic trends have been recently analyzed assuming “resilience thinking” as an appropriate interpretative paradigm. In a purely socioeconomic dimension, resilience is defined as the ability of a local system to react to external signals and to promote future development. This ability is intrinsically bonded with the socio-ecological dynamics characteristic of environmentally homogeneous districts. However, an evaluation of the relationship between SDPs and socioeconomic resilience in local systems is missing in mainstream literature. Our commentary formulates an exploratory framework for the assessment of soil degradation, intended as a dynamic process of natural resource depletion, and the level of socioeconomic resilience in local systems. Such a framework is intended to provide a suitable background to sustainability science and regional policies at the base of truly resilient local systems.


2021 ◽  
Vol 386 ◽  
pp. 107795
Author(s):  
Robert MacPherson ◽  
Amit Patel
Keyword(s):  

Author(s):  
Yongqiang Liu ◽  
Laurentiu Maxim ◽  
Botong Wang

Abstract We use the non-proper Morse theory of Palais–Smale to investigate the topology of smooth closed subvarieties of complex semi-abelian varieties and that of their infinite cyclic covers. As main applications, we obtain the finite generation (except in the middle degree) of the corresponding integral Alexander modules as well as the signed Euler characteristic property and generic vanishing for rank-one local systems on such subvarieties. Furthermore, we give a more conceptual (topological) interpretation of the signed Euler characteristic property in terms of vanishing of Novikov homology. As a byproduct, we prove a generic vanishing result for the $L^2$-Betti numbers of very affine manifolds. Our methods also recast June Huh’s extension of Varchenko’s conjecture to very affine manifolds and provide a generalization of this result in the context of smooth closed sub-varieties of semi-abelian varieties.


2018 ◽  
Vol 63 (4) ◽  
pp. 1126-1131 ◽  
Author(s):  
Chengpu Yu ◽  
Michel Verhaegen ◽  
Anders Hansson

Sign in / Sign up

Export Citation Format

Share Document