Lines on some Calabi-Yau threefolds in \(\mathbb {P}^4\) (Q2255138)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lines on some Calabi-Yau threefolds in \(\mathbb {P}^4\) |
scientific article |
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Lines on some Calabi-Yau threefolds in \(\mathbb {P}^4\) (English)
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6 February 2015
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The author studies some hypersurfaces in \(\mathbb{P}^{4}\), whose normalizations is a Calabi-Yau threefold. Then, the lines on these normalizations are examined. More explicitly, the author extends the constructions of Ciliberto to the canonical surfaces of degree \(d=6\) in \(\mathbb{P}^{4}\). The author also includes some work on \(d=10\) case considering quasi étale double coverings of general determinantal symmetric quintics.
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Calabi-Yau threefold
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Clemen's conjecture
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étale double covering
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rigid
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0.8870522
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0.88594306
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0.8835719
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0.8804153
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0.87918043
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0.87913316
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0.87854147
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0.8778727
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0.8775376
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