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CHAPTER VII The cohomology of coherent sheaves 1. Basic Čech cohomology We begin with the general set-up. i X any topological space U = {Uα}α∈S an open covering of…

HSC - Stage 6 2 Unit Chemistry Copyright © 2007; Ahmad Shah Idil 9.2 – Production of Materials: Δ. Construct word and balanced formulae equations of all chemical reactions…

Parametric Shortest Paths in Planar Graphs Kshitij Gajjar and Jaikumar Radhakrishnan Tata Institute of Fundamental Research Mumbai India Email: {kshitijgajjar jaikumar}@tifrresin…

Dispersive Systems 1 Schrödinger equation 2 Cubic Schrödinger 3 KdV 4 Discreterised hyperbolic equation 5 Discrete systems KdV 2 0 0 0 t x xxxu uu u u x u x ε+ + = = DISCONTINUITY…

APOLLONIAN CIRCLE PACKINGS AND CLOSED HOROSPHERES ON HYPERBOLIC 3-MANIFOLDS ALEX KONTOROVICH AND HEE OH WITH APPENDIX BY HEE OH AND NIMISH SHAH Abstract We show that for…

Séminaires Congrès 20, 2009, p. 71–106 UNIPOTENT FLOWS ON PRODUCTS OF SL2, KΓ’S by Nimish A. Shah Abstract. — We will give a simplified and a direct proof of a…