\`x^2+y_1+z_12^34\`
Advanced Search
Article Contents
Article Contents

Minkowski bases on algebraic surfaces with rational polyhedral pseudo-effective cone

Abstract / Introduction Related Papers Cited by
  • The purpose of this note is to study the number of elements in Minkowski bases on algebraic surfaces with rational polyhedral pseudo-effective cone.
    Mathematics Subject Classification: 14C20, 14J26.

    Citation:

    \begin{equation} \\ \end{equation}
  • [1]

    Th. Bauer, M. Funke and S. Neumann, Counting Zariski chambers on Del Pezzo surfaces, J. Algebra, 324 (2010), 92-101.doi: 10.1016/j.jalgebra.2010.02.037.

    [2]

    Th. Bauer, A. Küronya and T. Szemberg, Zariski chambers, volumes, and stable base loci, J. Reine Angew. Math., 576 (2004), 209-233.doi: 10.1515/crll.2004.090.

    [3]

    K. Kaveh and A. Khovanskii, Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory, Ann. of Math. (2), 176 (2012), 925-978.doi: 10.4007/annals.2012.176.2.5.

    [4]

    A. Küronya, V. Lozovanu and C. Maclean, Convex bodies appearing as Okounkov bodies of divisors, Adv. Math., 229 (2012), 2622-2639.doi: 10.1016/j.aim.2012.01.013.

    [5]

    Yu. Manin, Cubic Forms. Algebra, Geometry, Arithmetic, North-Holland Mathematical Library, Vol. 4, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., New York, 1974.

    [6]

    M. Mustaţă and R. Lazarsfeld, Convex bodies associated to linear series, Ann. Sci. Éc. Norm. Supér. (4), 42 (2009), 783-835.

    [7]

    P. Łuszcz-Świdecka, On Minkowski Decompositions of Okounkov bodies on a Del Pezzo surface, Ann. Univ. Paedagog. Crac. Stud. Math., 10 (2011), 105-115.

    [8]

    P. Łuszcz-Świdecka and D. Schmitz, Minkowski decomposition of Okounkov bodies on surfaces, J. Algebra, 414 (2014), 159-174.doi: 10.1016/j.jalgebra.2014.05.024.

    [9]

    M. Nakamaye, Stable base loci of linear series, Math. Ann., 318 (2000), 837-847.doi: 10.1007/s002080000149.

    [10]

    P. Pokora, D. Schmitz and S. Urbinati, Minkowski decomposition and generators of the moving cone for toric varieties, arXiv:1310.8505.

  • 加载中
SHARE

Article Metrics

HTML views() PDF downloads(166) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return