Navegar

Colección

Datos Estadísticas

Artículo

Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

We consider a rigidity question for isotropic harmonic maps from a compact Riemann surface to a complex projective space. In the case of the projective plane, we prove that ridigity holds if the degree is small in relation to the genus. For a projective space of any dimension we obtain coarser results about rigidity and rigidity up to finitely many choices.

Registro:

Documento: Artículo
Título:Rigidity of isotropic maps
Autor:Cukierman, F.
Filiación:Univ. de Buenos Aires, Departamento de Matematica, Ciudad Universitaria, (1428) Buenos Aires, Argentina
Año:1996
Volumen:174
Número:1
Página de inicio:29
Página de fin:42
DOI: http://dx.doi.org/10.2140/pjm.1996.174.29
Título revista:Pacific Journal of Mathematics
Título revista abreviado:Pac. J. Math.
ISSN:00308730
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00308730_v174_n1_p29_Cukierman

Referencias:

  • Arbarello, E., Cornalba, M., Griffiths, P., Harris, J., (1985) Geometry of Algebraic Curves, , Springer-Verlag
  • Bolton, J., Jensen, G., Rigoli, M., Woodward, L., On conformal minimal immersions of S2 into ℙn (1988) Mathematische Annalen, 279, pp. 599-620
  • Chi, Q.S., Rigidity of superminimal immersions of compact Riemann surfaces into ℙ2 (1990) Tohoku Mathematical Journal, 42 (3), pp. 439-455
  • Ciliberto, C., Lazarsfeld, R., On the uniqueness of certain linear series on some classes of curves Springer Lecture Notes in Mathematics, 997
  • Dieudonne, J., (1974) Cours de Geometrie Algebrique, , Presses Universitaires de France
  • Eells, J., Wood, J.C., Harmonic maps from surfaces to complex projective spaces (1983) Advances in Mathematics, 49, pp. 217-263
  • Eisenbud, D., Koh, J., Stillman, M., Determinantal equations for curves of high degree (1988) American Journal of Mathematics, 110, pp. 541-575
  • Green, M., Koszul cohomology and the geometry of projective varieties (1984) J. Diff. Geom., 19, pp. 125-171
  • Griffiths, P., Harris, J., (1978) Principles of Algebraic Geometry, , Wiley-Interscience
  • Grothendieck, A., Eléments de calcul infinitesimal (1960) Sem. Cartan, Exp., 14
  • EGA IV (4) (1967) Publ. Math. IHES, 32
  • Hartshorne, R., (1977) Algebraic Geometry, , Springer-Verlag
  • Piene, R., (1977) Numerical Characters of a Curve in Projective n-space in Real and Complex Singularities, pp. 475-495. , Sijthoff and Noordhoff

Citas:

---------- APA ----------
(1996) . Rigidity of isotropic maps. Pacific Journal of Mathematics, 174(1), 29-42.
http://dx.doi.org/10.2140/pjm.1996.174.29
---------- CHICAGO ----------
Cukierman, F. "Rigidity of isotropic maps" . Pacific Journal of Mathematics 174, no. 1 (1996) : 29-42.
http://dx.doi.org/10.2140/pjm.1996.174.29
---------- MLA ----------
Cukierman, F. "Rigidity of isotropic maps" . Pacific Journal of Mathematics, vol. 174, no. 1, 1996, pp. 29-42.
http://dx.doi.org/10.2140/pjm.1996.174.29
---------- VANCOUVER ----------
Cukierman, F. Rigidity of isotropic maps. Pac. J. Math. 1996;174(1):29-42.
http://dx.doi.org/10.2140/pjm.1996.174.29