The non-equivariant coherent-constructible correspondence and a conjecture of King

The coherent-constructible (CC) correspondence is a relationship between coherent sheaves on a toric variety X and constructible sheaves on a real torus $$mathbb {T}$$T. This was discovered by Bondal and established in the equivariant setting by Fang, Liu, Treumann, and Zaslow. In this paper, we explore various aspects of the non-equivariant CC correspondence. Also, we use the non-equivariant CC correspondence to prove the existence of tilting complexes in the derived categories of toric orbifolds satisfying certain combinatorial conditions. This has applications to a conjecture of King

Introduction

Since 1971, UNESCO's Man and the Biosphere (MAB) Programme has embraced a number of principles that link the political, scientific and academic spheres. Biosphere Reserves and Sustainable Development Goals 2 is a reminder of the fundamental issues involved in governance. The diversity and multiplicity of stakeholders, and the complexity of the interplay between them, as well as their organization, are decisive factors in the proper management of resources and territories. The book also presents a number of case studies demonstrating that, between the strong development aspirations of their populations, the impact of human activities and the need to conserve their biological heritage, the biosphere reserves of the southern Mediterranean are facing major issues: agricultural pollution, forest fires, water use in a context of climate change, etc

Biosphere reserves and sustainable development goals 2 : issues, tensions, processes and governance in the Mediterranean

Since 1971, UNESCO's Man and the Biosphere (MAB) Programme has embraced a number of principles that link the political, scientific and academic spheres. Biosphere Reserves and Sustainable Development Goals 2 is a reminder of the fundamental issues involved in governance. The diversity and multiplicity of stakeholders, and the complexity of the interplay between them, as well as their organization, are decisive factors in the proper management of resources and territories. The book also presents a number of case studies demonstrating that, between the strong development aspirations of their populations, the impact of human activities and the need to conserve their biological heritage, the biosphere reserves of the southern Mediterranean are facing major issues: agricultural pollution, forest fires, water use in a context of climate change, etc

Biosphere reserves and sustainable development goals 1 : scientific and practical educational issues in the Mediterranean

Since 1971, UNESCO's Man and the Biosphere (MAB) Programme has embraced a number of principles that link the political, scientific and academic spheres. Biosphere Reserves and Sustainable Development Goals 1 presents these areas as privileged spaces for experimenting with operating methods specific to cross-cutting objectives and issues. These areas encourage the development of interdisciplinary research, supported by a worldwide network to disseminate experience, approaches and know-how. The various global and local political scales are linked here, with different consequences for the reconfiguration of local political arenas, for specific modes of development linked to a renewed relationship with knowledge, powers and institutions, and for renewed relationships between the worlds of science, education and territorial governance