Etale cohomology of rigid analytic varieties and adic spaces
Series: Aspects of mathematics; E, 0179-2156: Vol.30Publication details: Vieweg, 1996 Braunschweig: Description: x, 450p. pb; 24 cmISBN:- 9783663099925
- 516.35 HUB
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IIT Gandhinagar General Stacks | 516.35 HUB (Browse shelf(Opens below)) | 1 | Available | 028482 |
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516.35 HAR Moduli of curves | 516.35 HAR Lectures on algebraic geometry II: basic concepts, coherent cohomology, curves and their Jacobians | 516.35 HIR Topological methods in algebraic geometry, | 516.35 HUB Etale cohomology of rigid analytic varieties and adic spaces | 516.35 HUS Elliptic curves | 516.35 LAN Geometry and complexity theory | 516.35 MUM Algebraic geometry I: complex projective varieties |
The aim of this book is to give an introduction to adic spaces and to develop systematically their tale cohomology. First general properties of the tale topos of an adic space are studied, in particular the points and the constructible sheaves of this topos. After this the basic results on the tale cohomology of adic spaces are proved: base change theorems, finiteness, Poincar duality, comparison theorems with the algebraic case.
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