4,243 research outputs found

    Numerical Schubert calculus

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    We develop numerical homotopy algorithms for solving systems of polynomial equations arising from the classical Schubert calculus. These homotopies are optimal in that generically no paths diverge. For problems defined by hypersurface Schubert conditions we give two algorithms based on extrinsic deformations of the Grassmannian: one is derived from a Gr\"obner basis for the Pl\"ucker ideal of the Grassmannian and the other from a SAGBI basis for its projective coordinate ring. The more general case of special Schubert conditions is solved by delicate intrinsic deformations, called Pieri homotopies, which first arose in the study of enumerative geometry over the real numbers. Computational results are presented and applications to control theory are discussed.Comment: 24 pages, LaTeX 2e with 2 figures, used epsf.st

    Pre-trial ‘Protective Measures for the Purpose of Forfeiture’ at the International Criminal Court: Safeguarding and balancing competing rights and interests

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    The International Criminal Court is empowered by its constituent instrument to request its states parties to identify, trace, freeze, and seize assets ‘after a warrant of arrest or a summons has been issued 
 having due regard to the strength of the evidence and the rights of the parties concerned’. This article critically examines the approach adopted by the Court to requesting such protective measures at the pre-trial phase, reflecting on how the rights and interests of the primary stakeholders implicated by this process: (i) accused persons, (ii) the Prosecutor, (iii) victims, and (iv) bona fide third parties, are safeguarded and balanced

    Victims’ Justice? Reparations and Asset Forfeiture at the Extraordinary African Chambers

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    This article critically analyses the reparations and asset forfeiture framework at the Extraordinary African Chambers and its application in the case against HissĂšne HabrĂ©. It identifies obstacles to implementing the reparations awarded and calls for states and international organizations to support their realization for the sake of Habré’s victims, without whose efforts the tribunal might not exist. It argues that international(ized) criminal tribunals should more readily utilize fines and forfeiture as penalties to alleviate the pressure on trust funds to implement reparations awards, particularly in cases where convicted persons possess substantial assets. Lastly, in light of the requirement that assets susceptible to forfeiture orders be derived directly or indirectly from the crime(s) of which a person is found guilty, the article questions the failure of the prosecutor to charge HabrĂ© with the war crime of pillage, despite its availability in the tribunal's statute and the finding that the suffering of many of Habré’s victims entitled to individual compensation resulted from pillage

    Twenty Years of the Rome Statute of the International Criminal Court: Appraising the State of National Implementing Legislation in Asia

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    The International Criminal Court relies on its State Parties to incorporate, or implement, its constituent instrument, the Rome Statute, into their domestic legal systems to enable its effective functioning. First, State Parties are obliged to give effect to their explicit obligation to cooperate with the Court under the Rome Statute. Second, although not required to do so, to avoid their national legal systems being found by the Court to be unable to investigate and/or prosecute the crimes under its jurisdiction in accordance with the principle of complementarity, they should also implement the definition and prohibition of these offences in their national legal frameworks. This article appraises the status of the domestic implementation of the Rome Statute, both crimes and cooperation, in Asia. The article concludes that few Asian State Parties to the Rome Statute have incorporated the treaty’s provisions into their domestic laws in a holistic manner, with the absence of cooperation legislation, enabling State Parties to assist the Court, particularly striking

    Tom Birkett: Person to Person interview

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    UCC lecturer Tom Birkett will spend the summer sailing on a reconstructed Viking ship, here he explains why

    'Runes' in The Encyclopedia of British Medieval Literature

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    Runes, in The Encyclopedia of British Medieval Literature (1000 word entry
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