Remarks on 5-dimensional complete intersections (Q407380)
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scientific article; zbMATH DE number 6336996
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on 5-dimensional complete intersections |
scientific article; zbMATH DE number 6336996 |
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Remarks on 5-dimensional complete intersections (English)
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1 September 2014
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complete intersections
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diffeomorphism
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moduli space
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The paper under review has two aims:NEWLINENEWLINE1. to present examples of smooth complex complete intersection varieties of dimension \(5\), with different multidegree, but which are diffeomorphic. These examples were found using the computer (the \texttt{Mathematica} code is provided).NEWLINENEWLINE2. to state and prove the following theorem:NEWLINENEWLINETheorem 1.1. ``For each integer \(t>0\), there exists \(t\) diffeomorphic complex \(5\)-dimensional complete intersections in \( \mathbb{C}\mathbb{P}^{7t-2}\) isomorphism class of which lie in different dimensional components of the moduli space.''
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