Ir al contenido

Documat


Cones of cycles on blowups of (\mathbb {P}^1)^n

  • Bini, Gilberto [1] ; Ugaglia, Luca [1]
    1. [1] University of Palermo

      University of Palermo

      Palermo, Italia

  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 77, Fasc. 2, 2026, págs. 295-308
  • Idioma: inglés
  • DOI: 10.1007/s13348-025-00469-9
  • Enlaces
  • Resumen
    • We study cones of pseudoeffective cycles on the blow up of (\mathbb {P}^1)^n at points in very general position, proving some results concerning their structure. In particular, we show that in some cases they turn out to be generated by exceptional classes and fiber classes relatively to the projections onto a smaller number of copies of projective lines.

  • Referencias bibliográficas
    • Bosma, W., Cannon, J., Playoust, C.: The Magma algebra system. I. The user language. J. Symb. Comput. 24(3–4), 235–265 (1997). https://doi-org.sire.ub.edu/10.1006/jsco.1996.0125....
    • Castravet, A.-M., Tevelev, J.: Hilbert’s 14th problem and Cox rings. Compos. Math. 142(6), 1479–1498 (2006). https://doi-org.sire.ub.edu/10.1112/S0010437X06002284
    • Coskun, I., Lesieutre, J., Ottem, J.C.: Effective cones of cycles on blowups of projective space. Algebra Number Theory 10(9), 1983–2014 (2016)....
    • Debarre, O., Ein, L., Lazarsfeld, R., Voisin, C.: Pseudoeffective and nef classes on abelian varieties. Compos. Math. 147(6), 1793–1818 (2011)....
    • Fulger, M., Lehmann, B.: Positive cones of dual cycle classes. Algebr. Geom. 4(1), 1–28 (2017). https://doi-org.sire.ub.edu/10.14231/AG-2017-001
    • Fulton, W.: Intersection theory, 2nd ed., Ergebnisse der Mathematik und ihrer Gren- zgebiete. 3. Folge. A Series of Modern Surveys in Mathematics...
    • Hu, Y., Keel, S.: Mori dream spaces and GIT. Mich. Math. J. 48, 331–348 (2000). https://doi-org.sire.ub.edu/10.1307/mmj/1030132722. (Dedicated...
    • Laface, A., Moraga, J.: Linear systems on the blow-up of (P1)n. Linear Algebra Appl. 492, 52–67 (2016). https://doi-org.sire.ub.edu/10.1016/j.laa.2015.11.009
    • Li, Q.: Pseudo-effective and nef cones on spherical varieties. Math. Z. 280(3–4), 945–979 (2015). https://doi-org.sire.ub.edu/10.1007/s00209-015-1457-0
    • Ottem, J.C.: Ample subvarieties and q-ample divisors. Adv. Math. 229(5), 2868–2887 (2012). https://doi-org.sire.ub.edu/10.1016/j.aim.2012.02.001
    • Pintye, N., Prendergast-Smith, A.: Effective cycles on some linear blowups of projective spaces. Nagoya Math. J. 243, 243–262 (2021). https://doi-org.sire.ub.edu/10.1017/nmj.2019.41

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno