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Please use this identifier to cite or link to this item: http://hdl.handle.net/1974/7602

Title: Smooth Complete Intersections with Positive-Definite Intersection Form
Authors: Smirnov, ILIA

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Keywords: Algebraic Geometry
Issue Date: 16-Oct-2012
Series/Report no.: Canadian theses
Abstract: We classify the smooth complete intersections with positive-definite intersection form on their middle cohomology. There are two families. The first family are quadric hypersurfaces in P(4k+1) with k a positive integer. The middle cohomology is always of rank two and the intersection lattice corresponds to the identity matrix. The second family are complete intersections of two quadrics in P(4k+2) (k a positive integer). Here the intersection lattices are the Gamma(4(k+1)) lattices; in particular, the intersection lattice of a smooth complete intersection of two quadrics in P(6) is the famous E8 lattice.
Description: Thesis (Master, Mathematics & Statistics) -- Queen's University, 2012-10-15 13:19:42.654
URI: http://hdl.handle.net/1974/7602
Appears in Collections:Queen's Graduate Theses and Dissertations
Department of Mathematics and Statistics Graduate Theses

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