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

页码：3272 / 3300

页数：29

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