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A theorem on zero cycles on surfaces

  • Paucar Rojas, Rina Roxana [1] ; Schoemann, Claudia [2]
    1. [1] Instituto de Matemáticas y Ciencias Afines, Universidad Nacional de Ingeneria, Lima, Perú.
    2. [2] Laboratoire Gaati, Université de la Polynésie Francaise, Papeete, French Polynesia.
  • Localización: Selecciones Matemáticas, ISSN-e 2411-1783, Vol. 9, Nº. 1, 2022 (Ejemplar dedicado a: Enero - Julio), págs. 161-166
  • Idioma: inglés
  • DOI: 10.17268/sel.mat.2022.01.13
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  • Resumen
    • In this paper we prove a result on 0-cycles on surfaces as an application of the theorem on the kernel of the Gysin homomorphism of Chow groups of 0-cycles of degree zero induced by the embedding of a curve into a surface, and we study the connection of this result with Bloch’s conjecture and constant cycles curves.

  • Referencias bibliográficas
    • Voisin C. Hodge Theory and Complex Algebraic Geometry II: Volume 2. Paris: Cambridge University Press, 2003.
    • Voisin C. Hodge Theory and Complex Algebraic Geometry I: Volume 1. Paris: Cambridge University Press, 2002.
    • Huybrechts D, et al. Curves and cycles on k3 surfaces. arXiv preprint arXiv:1303.4564, 2013.
    • Roitman AA. Rational equivalence of zero-cycles. Mathematics of the USSR- Sbornik. 1972; 18(4):571.
    • Paucar R, Schoemann C. On the kernel of the Gysin homomorphism on Chow groups of zero cycles. Submitted at Publications Mathématiques de Besancon...

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