86,630 research outputs found

    Circular Dichroism Spectra (350-185 nm) of a New Series of 4-Substituted [2.2] Paracyclophanes: a Quantitative Analysis within the De Voe Polarizability Model

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    The CD spectra of a new series of 4-substituted [2.2]paracyclophanes 1b- e have been measured down to 185 nm. Polarizability calculations within the DeVoe model satisfactorily reproduce the CD features over all the spectral range. In addition, the analysis of the complete CD spectrum allowed a phenomenological interpretation of the dependence of the sign of [α](D) on the nature of the substituents, at least for X=F, OH, I

    The Picard group of the universal moduli stack of principal bundles on pointed smooth curves II

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    In this paper, which is a sequel of [14], we investigate, for any reductive group G over an algebraically closed field k, the Picard group of the universal moduli stack BunG;g;n of G-bundles over n-pointed smooth projective curves of genus g. In particular, we give new functorial presentations of the Picard group of BunG;g;n, we study the restriction homomorphism onto the Picard group of the moduli stack of principal G-bundles over a fixed smooth curve, we determine the Picard group of the rigidification of BunG;g;n by the center of G as well as the image of the obstruction homomorphism of the associated gerbe. As a consequence, we compute the divisor class group of the moduli space of semistable G-bundles over n-pointed smooth projective curves of genus g

    The Picard group of the universal moduli stack of principal bundles on pointed smooth curves

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    For any smooth connected linear algebraic group GGG over an algebraically closed field kkk, we describe the Picard group of the universal moduli stack of principal GGG-bundles over pointed smooth kkk-projective curves
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