Brill-Noether loci with ramification at two points

被引：2
|
作者：
Teixidor-I-Bigas, Montserrat [1 ]
机构：
[1] Tufts Univ, Math Dept, 177 Coll Ave, Medford, MA 02155 USA
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2023年 / 202卷 / 03期
关键词：
Linear Series; Brill-Noether; Ramification Point; LIMIT LINEAR SERIES; PETRI MAP; PROOF; DIVISORS; BUNDLES; THEOREM;
D O I：
10.1007/s10231-022-01277-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the injectivity of the Petri map for linear series on a general curve with given ramification at two generic points. We also describe the components of such a set of linear series on a chain of elliptic curves.
引用
收藏
页码：1217 / 1232
页数：16
相关论文
共 50 条
  • [21] Global Brill-Noether theory over the Hurwitz space
    Larson, Eric
    Larson, Hannah
    Vogt, Isabel
    GEOMETRY & TOPOLOGY, 2025, 29 (01) : 193 - 257
  • [22] A Note on Brill-Noether Existence for Graphs of Low Genus
    Atanasov, Stanislav
    Ranganathan, Dhruv
    MICHIGAN MATHEMATICAL JOURNAL, 2018, 67 (01) : 175 - 198
  • [23] Stability of normal bundles of Brill-Noether curves
    Coskun, Izzet
    Smith, Geoffrey
    MATHEMATISCHE ANNALEN, 2025, 391 (04) : 4997 - 5032
  • [24] Remarks on Brill-Noether divisors and Hilbert schemes
    Choi, Youngook
    Kim, Seonja
    Kim, Young Rock
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2012, 216 (02) : 377 - 384
  • [25] GENERA OF BRILL-NOETHER CURVES AND STAIRCASE PATHS IN YOUNG TABLEAUX
    Chan, Melody
    Martin, Alberto Lopez
    Pflueger, Nathan
    Teixidor i Bigas, Montserrat
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 370 (05) : 3405 - 3439
  • [26] Brill-Noether theory for curves of a fixed gonality
    Jensen, David
    Ranganathan, Dhruv
    FORUM OF MATHEMATICS PI, 2021, 9
  • [27] A simple characteristic-free proof of the Brill-Noether theorem
    Osserman, Brian
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2014, 45 (04): : 807 - 818
  • [28] Du Val curves and the pointed Brill-Noether Theorem
    Farkas, Gavril
    Tarasca, Nicola
    SELECTA MATHEMATICA-NEW SERIES, 2017, 23 (03): : 2243 - 2259
  • [29] Abelian varieties in Brill Noether loci
    Ciliberto, Ciro
    Lopes, Margarida Mendes
    Pardini, Rita
    ADVANCES IN MATHEMATICS, 2014, 257 : 349 - 364
  • [30] Severi varieties and Brill-Noether theory of curves on abelian surfaces
    Knutsen, Andreas Leopold
    Lelli-Chiesa, Margherita
    Mongardi, Giovanni
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2019, 749 : 161 - 200
12345