Birational geometry of Fano hypersurfaces of index two

Mathematische Annalen - We prove that every non-trivial structure of a rationally connected fibre space on a generic (in the sense of Zariski topology) hypersurface V of degree M in the $$(M+1)$$...     

Complexity analysis of music

This work shows how to measure composer style's comprehensiveness by performing measurements on Barlow and Morgenstern dictionary of 10, 000 classical themes. This measure can partially reveal the degree of complexity of works by Mozart as well as many greater composers. © 2015 Wiley Periodicals, Inc. Complexity 21: 263–268, 2016     

Mean ergodic theorem in symmetric spaces

We investigate the validity of the Mean Ergodic Theorem in symmetric Banach function spaces E. The assertion of that theorem always holds when E is separable, whereas the situation is more delicate when E is non-separable. To describe positive results in the latter setting, we use the connections with the theory of singular traces.     

Interplay of H‐Bonds with Aromatics in Isolated Complexes Identifies Isomeric Carbohydrates

The tremendous isomeric diversity of carbohydrates enables a wide range of their biological functions but makes the identification and study of these molecules difficult. We investigated the ability of intermolecular interactions to communicate structural specificity of carbohydrates to protonated aromatic molecules in non‐covalent complexes, isolated and cooled in the gas phase. Our study revealed that small structural differences between carbohydrate isomers of any type, including enantiomers, are accurately communicated by these interactions to aromatic molecules as detectable changes in their electronic excitation spectra. The specific response of the aromatics to the isomers of carbohydrates is fine‐tuned by the interplay of the various involved non‐covalent bonds. These findings enable the gas‐phase identification and relative quantification of any isomers of oligosaccharides in their solution mixtures using the 2D UV‐MS fingerprinting technique.     

Synthesis of (4-nitro-1H-indol-6-yl)- and (4-amino-1H-indol-6-yl)phosphonic acid derivatives

Chemistry of Heterocyclic Compounds - A convenient methodology for the synthesis of previously unreported (1H-indol-6-yl)phosphonic acid derivatives has been described. Reaction of...     

Simultaneous detection of Mn,Co, Ni,and Cu using ion chromatography coupled with ICP-MS with a special focus on the determination of 59Ni in corrosion deposits

Journal of Radioanalytical and Nuclear Chemistry - A simple method for the simultaneous detection of stable and long-lived Mn, Ni, Co and Cu isotopes has been created by coupling an ion...     

Synthesis and characterization of 4,5‐dihydro‐1H‐pyrazolo[3,4b][1,4]azaphosphinines

1,3,3‐Trimethyl‐2‐(1‐R‐3‐methyl‐5‐pyrazolyliminoethylidene)indolines were shown to undergo phosphorylation with phosphorus(III) halides at the two nucleophilic carbon centers to give fused 1,4‐azaphosphinine ring systems. Chemical properties of the synthesized compounds were characterized. For some representative compounds, detailed NMR spectroscopic investigations were performed, including the determination of ³¹P, ¹H and ³¹P, ¹³C coupling constants. © 1999 John Wiley & Sons, Inc. Heteroatom Chem 10: 391–398, 1999