Picard group

In particular we see that if m = r-n-1 then irlp Y)] is an irreducible hypersurface of G(m+1,r+t). This turns out to be the intersection of 6(m+ i, r+1) with a hypersurface FY of the ambient projective space if we Plucker-embed G(m+1,r 1) in P N - (r+l), - 1, This fact follows directly from the classical property of the grassmannians of having Picard group equal to Z ( see IF ). The hypersurface FY depends only on Y and, interpreted as a point of the projective space which parametrizes all the... 

Parametrizing, point, 7-7, 10-4 Pathological component, 11-14 Picard group, 7-11 Plucker morphism (embedding), 1 -6 Point... 

The Picard group Pic(fc) is Hl(/k, G ) its elements correspond to invertible modules, twisted forms of the k-module k. 

Definitions III 2.1. 1) Si X est un schema, on note Pio(X) le groupe ab41ien des classes k isomorphisme pres de faisceaux inversibles sur X. Si maintenant X est un S-seh na, on appelle foncteur de Picard relatif de X au-dessus de... 

Picard and Brunet [36] suggest that nitroguanidine may be a resonance hybrid. The structure of nitroguanidine will be discussed later. In the infrared, nitroguanidine gives an absorption band of asymmetric vibrations of the N02 group which... 

Many of the results on unipotent and solvable groups were first introduced not for structural studies but for use in differential algebra. We can at least sketch one of the main applications. For simplicity we consider only fields F of meromorphic functions on regions in C. We call F a differential field if it is mapped into itself by differentiation. An extension L of such an F is a Picard- Vessiot extension if it is the smallest differential field which contains F together with n independent solutions yt of a given linear differential equation... 

Mehta RL, Pascual MX, Soroko S, Chertow GM PICARD Study Group. Diuretics, mortality, and nonrecovery of renal function in acute renal failure. JAMA 2002 288(20) 2547-53. 

Aromatic nitro compounds which in ortho position have azido group can readily be transformed into benzofuroxanes (31, 33). An excellent review on furoxanes was written by Kaufman and Picard [206]. Recent works on the structure of benzotrifuroxane were also published on X-ray analysis [207, 208), vibrational and Raman spectra [209 210], nitrogen NMR [211], carbon 13 NMR [212]. Explosive properties were also discussed [213]. 

Bergeron MG, Ke D, Menard C, Picard FJ, Gagnon M, Bernier M, et al. Rapid detection of group B streptococci in pregnant women at delivery. N Engl JMed 2000 343 175-9. 

Pentaazamacrocyclic ligand incorporating either an intracyclic bipyridine (BP) [105] or a pyrazolylpyridine 38 [100] chromophore was recently synthesized in Picard s group in Toulouse. The pyrazolylpyridine unit of 38 exhibits promising... 

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