Lines on the Dwork Pencil of Quintic Threefolds

Journal article

We present an explicit parametrization of the families of lines of the Dwork pencil of quintic threefolds. This gives rise to isomorphic curves which parametrize the lines. These curves are 125:1 covers of certain genus six curves. These genus six curves are first presented as curves in P^1*P^1 that have three nodes. It is natural to blow up P^1*P^1 in the three points corresponding to the nodes in order to produce smooth curves. The result of blowing up P^1*P^1 in three points is the quintic...

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Authors: Candelas, P; Ossa, X; Geemen, B; Straten, D

• Publication status: Published
• Journal: ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS
• Volume: 16
• Issue: 6
• Pages: 1779-1836
• Publication date: 2012-06-21
• DOI: 10.4310/ATMP.2012.v16.n6.a4
• EISSN: 1095-0753
• ISSN: 1095-0761
• Language: English
• Keywords: hep-th; math.AG