On the Ubiquity of Twisted Sheaves

Max Lieblich ()
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Max Lieblich: University of Washington, Department of Mathematics

A chapter in Birational Geometry, Rational Curves, and Arithmetic, 2013, pp 205-227 from Springer

Abstract: Abstract We describe some recent work on the uses of twisted sheaves in algebra, arithmetic, and geometry. In particular, we touch on the role of twisted sheaves in: 1. The geometry of the period-index problem for the Brauer group 2. The connection between finiteness of the u-invariant and Colliot-Thélène’s conjecture on 0-cycles 3. The link between the Tate conjecture for K3 surfaces and finiteness of the set of isomorphism classes of K3 surfaces over a finite field 4. The geometry of rational curves on the moduli spaces of supersingular K3 surfaces

Keywords: Modulus Space; Algebraic Space; Modulus Problem; Perfect Complex; Leray Spectral Sequence (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-6482-2_10

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DOI: 10.1007/978-1-4614-6482-2_10

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