Degree 1 curves in the Dwork pencil and the mirror quintic

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Abstract

We give a description of the relative Hilbert scheme of lines in the Dwork pencil of quintic threefolds. We describe the corresponding relative Hilbert scheme associated to the mirror family of quintic threefolds.

Original languageEnglish
Pages (from-to)97-130
Number of pages34
JournalMathematische Annalen
Volume355
Issue number1
DOIs
Publication statusPublished - Jan 2013

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