An algorithm for the normal bundle of rational monomial curves

被引:3
|
作者
Alzati A. [1 ]
Re R. [2 ]
Tortora A. [1 ]
机构
[1] Dipartimento di Matematica, Univ. di Milano, Via C. Saldini, Milan
[2] Dipartimento di Matematica, Univ. di Catania, Viale A. Doria, Catania
关键词
Algorithm; Cohomology; Normal bundle; Rational curve;
D O I
10.1007/s12215-017-0315-9
中图分类号
学科分类号
摘要
We give a method to calculate the cohomology of the twisted normal bundle over a smoth rational curve. From this method we derive a vanishing result and an algorithm for calculating the splitting type of the bundle for any rational monomial curve. © 2017, Springer-Verlag Italia S.r.l.
引用
收藏
页码:291 / 306
页数:15
相关论文
共 50 条
  • [41] A Pascal's theorem for rational normal curves
    Caminata, Alessio
    Schaffler, Luca
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2021, 53 (05) : 1470 - 1485
  • [42] Double rational normal curves with linear syzygies
    Nicolae Manolache
    manuscripta mathematica, 2001, 104 : 503 - 517
  • [43] SINGULARITY OF MONOMIAL CURVES IN A3 AND GORENSTEIN MONOMIAL CURVES IN A4
    KRAFT, J
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1985, 37 (05): : 872 - 892
  • [44] On curves lying on a rational normal surface scroll
    Lee, Wanseok
    Park, Euisung B.
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2019, 223 (10) : 4458 - 4476
  • [45] Normal bundles of rational curves on complete intersections
    Coskun, Izzet
    Riedl, Eric
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2019, 21 (02)
  • [46] Normal bundles of rational curves in projective space
    Izzet Coskun
    Eric Riedl
    Mathematische Zeitschrift, 2018, 288 : 803 - 827
  • [47] Normal bundles of rational curves in projective space
    Coskun, Izzet
    Riedl, Eric
    MATHEMATISCHE ZEITSCHRIFT, 2018, 288 (3-4) : 803 - 827
  • [48] Normal bundles of rational curves in projective spaces
    Ran, Ziv
    ASIAN JOURNAL OF MATHEMATICS, 2007, 11 (04) : 567 - 608
  • [49] Rational curves, Dynkin diagrams and Fano manifolds with nef tangent bundle
    Roberto Muñoz
    Gianluca Occhetta
    Luis E. Solá Conde
    Kiwamu Watanabe
    Mathematische Annalen, 2015, 361 : 583 - 609
  • [50] Rational curves, Dynkin diagrams and Fano manifolds with nef tangent bundle
    Munoz, Roberto
    Occhetta, Gianluca
    Sola Conde, Luis E.
    Watanabe, Kiwamu
    MATHEMATISCHE ANNALEN, 2015, 361 (3-4) : 583 - 609