Abstract
We consider two varieties associated to a web of quadrics W in P-7. One is the base locus and the second one is the double cover of P-3 branched along the determinant surface of W. We show that small resolutions of these varieties are Calabi-Yau manifolds. We compute their Betti numbers and show that they are not birational in the generic case. The main result states that if the base locus of W contains a plane then in the generic case the two varieties are birational. (C) 2012 Elsevier Inc. All rights reserved.
Original language | English |
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Pages (from-to) | 186-197 |
Number of pages | 12 |
Journal | JOURNAL OF ALGEBRA |
Volume | 370 |
DOIs | |
Publication status | Published - 15 Nov 2012 |
MoE publication type | A1 Journal article-refereed |
Keywords
- Webs of quadrics
- Calabi-Yau manifolds