Enumeration of surfaces containing an elliptic quartic curve
A very general surface of degree at least four in ℙ3 contains no curves other than intersections with surfaces. We find a formula for the degree of the locus of surfaces in ℙ3 of degree at least five which contain some elliptic quartic curves. We also compute the degree of the locus of quartic surfa...
| Autores principales: | , , |
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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00029939_v142_n10_p3305_Cukierman |
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| Sumario: | A very general surface of degree at least four in ℙ3 contains no curves other than intersections with surfaces. We find a formula for the degree of the locus of surfaces in ℙ3 of degree at least five which contain some elliptic quartic curves. We also compute the degree of the locus of quartic surfaces containing an elliptic quartic curve, a case not covered by that formula. © 2014 American Mathematical Society. |
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