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...

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Guardado en:
Detalles Bibliográficos
Publicado: 2014
Materias:
Enumerative geometry
Intersection theory
Noether-Lefschetz locus
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v142_n10_p3305_Cukierman
http://hdl.handle.net/20.500.12110/paper_00029939_v142_n10_p3305_Cukierman
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00029939_v142_n10_p3305_Cukierman
record_format dspace
spelling paper:paper_00029939_v142_n10_p3305_Cukierman2023-06-08T14:23:34Z Enumeration of surfaces containing an elliptic quartic curve Enumerative geometry Intersection theory Noether-Lefschetz locus 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. 2014 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v142_n10_p3305_Cukierman http://hdl.handle.net/20.500.12110/paper_00029939_v142_n10_p3305_Cukierman
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Enumerative geometry
Intersection theory
Noether-Lefschetz locus
spellingShingle Enumerative geometry
Intersection theory
Noether-Lefschetz locus
Enumeration of surfaces containing an elliptic quartic curve
topic_facet Enumerative geometry
Intersection theory
Noether-Lefschetz locus
description 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.
title Enumeration of surfaces containing an elliptic quartic curve
title_short Enumeration of surfaces containing an elliptic quartic curve
title_full Enumeration of surfaces containing an elliptic quartic curve
title_fullStr Enumeration of surfaces containing an elliptic quartic curve
title_full_unstemmed Enumeration of surfaces containing an elliptic quartic curve
title_sort enumeration of surfaces containing an elliptic quartic curve
publishDate 2014
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v142_n10_p3305_Cukierman
http://hdl.handle.net/20.500.12110/paper_00029939_v142_n10_p3305_Cukierman
_version_ 1768543491357409280

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