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Cukierman, F.; Lopez, A.F.; Vainsencher, I. "Enumeration of surfaces containing an elliptic quartic curve" (2014) Proceedings of the American Mathematical Society. 142(10):3305-3313
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Abstract:

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.

Registro:

Documento: Artículo
Título:Enumeration of surfaces containing an elliptic quartic curve
Autor:Cukierman, F.; Lopez, A.F.; Vainsencher, I.
Filiación:Universidad de Buenos Aires, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina
Dipartimento di Matematica e Fisica, Universitá di Roma Tre, Largo San Leonardo Murialdo 1, Roma, 00146, Italy
ICEX-Departamento de Matemática-UFMG, Av. Antônio Carlos, 6627 - Caixa Postal 702, Belo Horizonte, MG CEP 31270-901, Brazil
Palabras clave:Enumerative geometry; Intersection theory; Noether-Lefschetz locus
Año:2014
Volumen:142
Número:10
Página de inicio:3305
Página de fin:3313
DOI: http://dx.doi.org/10.1090/S0002-9939-2014-11998-8
Título revista:Proceedings of the American Mathematical Society
Título revista abreviado:Proc. Am. Math. Soc.
ISSN:00029939
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v142_n10_p3305_Cukierman

Referencias:

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Citas:

---------- APA ----------
Cukierman, F., Lopez, A.F. & Vainsencher, I. (2014) . Enumeration of surfaces containing an elliptic quartic curve. Proceedings of the American Mathematical Society, 142(10), 3305-3313.
http://dx.doi.org/10.1090/S0002-9939-2014-11998-8
---------- CHICAGO ----------
Cukierman, F., Lopez, A.F., Vainsencher, I. "Enumeration of surfaces containing an elliptic quartic curve" . Proceedings of the American Mathematical Society 142, no. 10 (2014) : 3305-3313.
http://dx.doi.org/10.1090/S0002-9939-2014-11998-8
---------- MLA ----------
Cukierman, F., Lopez, A.F., Vainsencher, I. "Enumeration of surfaces containing an elliptic quartic curve" . Proceedings of the American Mathematical Society, vol. 142, no. 10, 2014, pp. 3305-3313.
http://dx.doi.org/10.1090/S0002-9939-2014-11998-8
---------- VANCOUVER ----------
Cukierman, F., Lopez, A.F., Vainsencher, I. Enumeration of surfaces containing an elliptic quartic curve. Proc. Am. Math. Soc. 2014;142(10):3305-3313.
http://dx.doi.org/10.1090/S0002-9939-2014-11998-8