Arithmetic inflection formulae for linear series on hyperelliptic curves

被引：2
作者：
Cotterill, Ethan [1 ,4 ]
Darago, Ignacio [2 ]
Han, Changho [3 ]
机构：
[1] Inst Matemat, UFF, Rua Prof Waldemar Freitas, S-N, Niteroi, RJ, Brazil
[2] Univ Chicago, Dept Math, S Univ Ave, Chicago, IL USA
[3] Univ Georgia, Dept Math, Athens, GA USA
[4] Univ Fed Fluminense, Inst Matemat, Rua Prof Waldemar Freitas, S-N, 24, BR-210201 Niteroi, RJ, Brazil
来源：
MATHEMATISCHE NACHRICHTEN | 2023年 / 296卷 / 08期
关键词：
inflection; linear series; hyperelliptic curves; A(1)-homotopy theory; RATIONAL-POINTS; GEOMETRY;
D O I：
10.1002/mana.202100229
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Over the complex numbers, Plucker's formula computes the number of inflection points of a linear series of fixed degree and projective dimension on an algebraic curve of fixed genus. Here, we explore the geometric meaning of a natural analog of Plucker's formula and its constituent local indices in A(1)-homotopy theory for certain linear series on hyperelliptic curves defined over an arbitrary field.
引用
收藏
页码：3272 / 3300
页数：29
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