Arithmetic inflection formulae for linear series on hyperelliptic curves-Reference-Cited by-同舟云学术

Arithmetic inflection formulae for linear series on hyperelliptic curves

Published:2023-05-16 Issue:8 Volume:296 Page:3272-3300
ISSN:0025-584X
Container-title:Mathematische Nachrichten
language:en
Short-container-title:Mathematische Nachrichten

Author:

Cotterill Ethan¹^ORCID,Darago Ignacio²,Han Changho³

Affiliation:

1. Instituto de Matemática UFF, Rua Prof Waldemar de Freitas, S/N, Niterói Rio de Janeiro Brazil

2. Department of Mathematics University of Chicago S. University Avenue Chicago Illinois USA

3. Department of Mathematics University of Georgia Athens Georgia USA

Abstract

AbstractOver the complex numbers, Plücker'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 Plücker's formula and its constituent local indices in ‐homotopy theory for certain linear series on hyperelliptic curves defined over an arbitrary field.

Publisher

Wiley

Subject

General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mana.202100229

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