622 research outputs found

    Rate of decay for the mass ratio of pseudo-holomorphic integral 2-cycles

    Full text link
    We consider any pseudo holomorphic integral 2-cycle in an arbitrary almost complex manifold and perform a blow up analysis at an arbitrary point. Building upon a pseudo algebraic blow up (previously introduced by the author) we prove a geometric rate of decay for the mass ratio towards the limiting density, with an explicit exponent of decay expressed in terms of the density of the current at the point.Comment: in Calc. Var. published online (2015

    Tangent cones to positive-(1,1) De Rham currents

    Get PDF
    We consider positive-(1,1) De Rham currents in arbitrary almost complex manifolds and prove the uniqueness of the tangent cone at any point where the density does not have a jump with respect to all of its values in a neighbourhood. Without this assumption, counterexamples to the uniqueness of tangent cones can be produced already in C^n, hence our result is optimal. The key idea is an implementation, for currents in an almost complex setting, of the classical blow up of curves in algebraic or symplectic geometry. Unlike the classical approach in C^n, we cannot rely on plurisubharmonic potentials.Comment: 37 pages, 2 figure

    The role of project finance in the natural gas industry: the Ichthys LNG project

    Get PDF
    The following case study describes the circumstances that led to the launch of the Ichthys LNG Project in Australia, one of the largest in the natural gas industry. The case illustrates the most significant phases of the project’s development, from the initial conception to the final investment decision announced in January 2012 and the consequent financial close, reached after a complex project finance operation. The goal of the case study is to provide a comprehensive analysis of the main features of the financing arranged and the mitigation techniques used to manage the risks associated with massive integrated gas projects

    Uniqueness of Tangent Cones to Positive-(p,p) Integral Cycles

    Full text link
    Let (M, \om) be a symplectic manifold, endowed with a compatible almost complex structure J and the associated metric g . For any p \in {1, 2, ... (dim M)/2} the form \Om := \frac{\om^p}{p!} is a calibration. More generally, dropping the closedness assumption on \om, we get an almost hermitian manifold (M, \om, J, g) and then \Om is a so-called semi-calibration. We prove that integral cycles of dimension 2p (semi-)calibrated by \Om possess at every point a unique tangent cone. The argument relies on an algebraic blow up perturbed in order to face the analysis issues of this problem in the almost complex setting.Comment: 22 page

    Polyrhythms

    Get PDF
    This work strives to integrate seemingly ‘distant’ practices into a concept by emphasizing their differences. A syncopation between a maker and designer, a planner and improviser. A search for commonalities in the middle of what otherwise creates conflict. I cultivate a space to play alongside my inherent formalities by incorporating color and movement. I find rhythm persists uninterrupted through the discrepancies of my process and inspirations. I want to see it in the outcomes of my work. How can I be compatible with this world of rudiments and structure and also comply with my reliance on ‘chance’
    • …
    corecore