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Please use this identifier to cite or link to this item:
http://hdl.handle.net/1974/7602
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| Title: | Smooth Complete Intersections with Positive-Definite Intersection Form |
| Authors: | Smirnov, ILIA |
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| Keywords: | Algebraic Geometry
Mathematics |
| 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 Theses & Dissertations
Mathematics & Statistics Graduate Theses
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