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SOME COMBINATORICS OF BINOMIAL COEFFICIENTS AND THE BLOCH-GIESEKER PROPERTY FOR SOME HOMOGENEOUS BUNDLES
, 2001
"... Abstract. A vector bundle has the Bloch-Gieseker property if all its Chern classes are numerically positive. In this paper we show that the non-ample bun-dle pPn (p+ 1) has the Bloch-Gieseker property, except for two cases, in which the top Chern classes are trivial and the other Chern classes are p ..."
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Abstract. A vector bundle has the Bloch-Gieseker property if all its Chern classes are numerically positive. In this paper we show that the non-ample bun-dle pPn (p+ 1) has the Bloch-Gieseker property, except for two cases, in which the top Chern classes are trivial and the other Chern classes
Towards the fractional quantum Hall effect: a noncommutative geometry perspective
"... In this paper we give a survey of some models of the integer and fractional quantum Hall effect based on noncommutative geometry. We begin by recalling some classical geometry of electrons in solids and the passage to noncommutative geometry produced by the presence of a magnetic field. We recall ho ..."
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Cited by 14 (4 self)
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. In particular, after reviewing some basic facts about Bloch theory, we recall an approach pioneered by Gieseker at al. [16] [17], which uses algebraic geometry to treat the inverse problem of determining the pseudopotential from the data of the electric and optical properties of the solid. Crystals. The Bravais