1,720,971 research outputs found

    PROFILI DI RESPONSABILITA PENALE PER LA CIRCOLAZIONE DI VEICOLI A GUIDA AUTONOMA

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    Dopo aver riscostruito il perimetro garantista dell’eventuale responsabilità penale per la commissione di reati pur realizzati tramite i sistemi di intelligenza artificiale quali le auto a guida autonoma, ed aver effettuato una ricognizione delle fonti extrapenali vigenti nel nostro ordinamento e le correlate distinzioni classificatorie, il saggio esamina le ricadute sugli aspetti specificamente penalistici, evidenziando le interazioni fra veicoli a guida autonoma e soggetti coinvolti nella formazione ed esecuzione delle scelte operative. Il lavoro si conclude con alcune considerazioni finali e prospettive de jure condendo, che guardano alle fonti e proposte di regolamentazione a livello europeo

    Hodge dualities on supermanifolds

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    AbstractWe discuss the cohomology of superforms and integral forms from a new perspective based on a recently proposed Hodge dual operator. We show how the superspace constraints (a.k.a. rheonomic parametrization) are translated from the space of superforms Ω(p|0) to the space of integral forms Ω(p|m) where 0≤p≤n, n is the bosonic dimension of the supermanifold and m its fermionic dimension. We dwell on the relation between supermanifolds with non-trivial curvature and Ramond–Ramond fields, for which the Laplace–Beltrami differential, constructed with our Hodge dual, is an essential ingredient. We discuss the definition of Picture Lowering and Picture Raising Operators (acting on the space of superforms and on the space of integral forms) and their relation with the cohomology. We construct non-abelian curvatures for gauge connections in the space Ω(1|m) and finally discuss Hodge dual fields within the present framework

    The geometry of supermanifolds and new supersymmetric actions

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    AbstractThis is the first of two papers in which we construct the Hodge dual for supermanifolds by means of the Grassmannian Fourier transform of superforms. In this paper we introduce the fundamental concepts and a method for computing Hodge duals in simple cases. We refer to a subsequent publication [12] for a more general approach and the required mathematical details. In the case of supermanifolds it is known that superforms are not sufficient to construct a consistent integration theory and that integral forms are needed. They are distribution-like forms which can be integrated on supermanifolds as a top form can be integrated on a conventional manifold. In our construction of the Hodge dual of superforms they arise naturally. The compatibility between Hodge duality and supersymmetry is exploited and applied to several examples. We define the irreducible representations of supersymmetry in terms of integral and super forms in a new way which can be easily generalized to several models in different dimensions. The construction of supersymmetric actions based on the Hodge duality is presented and new supersymmetric actions with higher derivative terms are found. These terms are required by the invertibility of the Hodge operator
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