Quintic surfaces of \(\mathbb{P}^ 3\) having a non-singular model with \(q=p_ g=0\), \(P_ 2\neq 0\) (Q1332504)
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scientific article; zbMATH DE number 627429
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quintic surfaces of \(\mathbb{P}^ 3\) having a non-singular model with \(q=p_ g=0\), \(P_ 2\neq 0\) |
scientific article; zbMATH DE number 627429 |
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Quintic surfaces of \(\mathbb{P}^ 3\) having a non-singular model with \(q=p_ g=0\), \(P_ 2\neq 0\) (English)
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13 October 1994
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Summary: In this paper we construct new examples of quintic surfaces of \(\mathbb{P}^3\) having only isolated singularities \((r\) tacnodes or \(s\) double points with infinitely near a tacnode, \(r + s = 4)\) whose nonsingular model has irregularity \(q = 0\) and invariants \(p_g = 0\), \(P_2 \neq 0\). In particular, an example is found of a quintic with a non singular model of general type.
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quintic surfaces
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isolated singularities
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