10 research outputs found

    Strengthening the Cohomological Crepant Resolution Conjecture for Hilbert-Chow morphisms

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    Given any smooth toric surface S, we prove a SYM-HILB correspondence which relates the 3-point, degree zero, extended Gromov-Witten invariants of the n-fold symmetric product stack [Sym^n(S)] of S to the 3-point extremal Gromov-Witten invariants of the Hilbert scheme Hilb^n(S) of n points on S. As we do not specialize the values of the quantum parameters involved, this result proves a strengthening of Ruan's Cohomological Crepant Resolution Conjecture for the Hilbert-Chow morphism from Hilb^n(S) to Sym^n(S) and yields a method of reconstructing the cup product for Hilb^n(S) from the orbifold invariants of [Sym^n(S)].Comment: Revised versio

    The degenerate analogue of Ariki's categorification theorem

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    We explain how to deduce the degenerate analogue of Ariki's categorification theorem over the ground field C as an application of Schur-Weyl duality for higher levels and the Kazhdan-Lusztig conjecture in finite type A. We also discuss some supplementary topics, including Young modules, tensoring with sign, tilting modules and Ringel duality.Comment: 44 page

    Unexpected and growing interest in land investments? The Asian case

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    The aim of this chapter is to provide an Asian perspective on land investments with particular reference to the European position in terms of land acquisition. At first, the paper recalls the relevance that land holds as a distinct factor of production and consumption. Then, it investigates the different ways employed to define the recent phenomenon of land-grabbing in the increasing literature review. In order to contribute to the discussion on the issue, the second part of the paper is devoted to the examination of the Asian case. Furthermore, it analyses both the direct and the indirect role played by the European Union in influencing and enhancing the phenomenon of land-grabbing in Asia. The chapter concludes with observations and proposals on the impact of land-grabbing
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