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
  • [31] Martens and Mumford theorems for higher rank Brill-Noether loci
    Nazarlou, Parviz Asefi
    Bajravani, Ali
    Hitching, George H.
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2025,
  • [32] K-classes of Brill-Noether Loci and a Determinantal Formula
    Anderson, Dave
    Chen, Linda
    Tarasca, Nicola
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 2022 (16) : 12653 - 12698
  • [33] Some examples of rank-2 Brill-Noether loci
    Newstead, P. E.
    REVISTA MATEMATICA COMPLUTENSE, 2018, 31 (01): : 201 - 215
  • [34] A∞-structures, Brill-Noether loci and the Fourier-Mukai transform
    Polishchuk, A
    COMPOSITIO MATHEMATICA, 2004, 140 (02) : 459 - 481
  • [35] Brill-Noether loci of stable rank-two vector bundles on a general curve
    Ciliberto, C.
    Flamini, F.
    GEOMETRY AND ARITHMETIC, 2012, : 61 - 74
  • [36] Interpolation for Brill-Noether curves
    Larson, Eric
    Vogt, Isabel
    FORUM OF MATHEMATICS PI, 2023, 11
  • [37] Brill-Noether matrix for rank two vector bundles
    Tan, XJ
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2002, 23 (04) : 531 - 538
  • [38] Invariants of the Brill-Noether curve
    Castorena, Abel
    Martin, Alberto Lopez
    Bigas, Montserrat Teixidor I.
    ADVANCES IN GEOMETRY, 2017, 17 (01) : 39 - 52
  • [39] Higher-rank Brill-Noether loci on nodal reducible curves
    Sonia Brivio
    Filippo F. Favale
    Geometriae Dedicata, 2023, 217
  • [40] BRILL-NOETHER MATRIX FOR RANK TWO VECTOR BUNDLES
    TAN XIAOJIANGSchool of Mathematical Sciences
    ChineseAnnalsofMathematics, 2002, (04) : 531 - 538
12345