Realizing a fake projective plane as a degree 25 surface in \(\mathbb{P}^5\) (Q6619745)
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scientific article; zbMATH DE number 7927176
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Realizing a fake projective plane as a degree 25 surface in \(\mathbb{P}^5\) |
scientific article; zbMATH DE number 7927176 |
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Realizing a fake projective plane as a degree 25 surface in \(\mathbb{P}^5\) (English)
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16 October 2024
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Fake projective planes are smooth complex surfaces of general type with Betti numbers equal to the Betti numbers of usual projective plane. There have been explicit constructions of fake projective planes embedded in \(\mathbb{P}^9\) via a bicanonical embedding. The authors study a certain fake projective plane to construct an embedding in \(\mathbb{P}^5\). They also simplify the 84 cubic equations defining the fake projective plane in \(\mathbb{P}^9\).
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fake projective plane
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explicit equations
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projective embedding
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