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Arithmetic inflection formulae for linear series on hyperelliptic curves.
- Source :
-
Mathematische Nachrichten . Aug2023, Vol. 296 Issue 8, p3272-3300. 29p. - Publication Year :
- 2023
-
Abstract
- Over 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 A1$\mathbb {A}^1$‐homotopy theory for certain linear series on hyperelliptic curves defined over an arbitrary field. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0025584X
- Volume :
- 296
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Mathematische Nachrichten
- Publication Type :
- Academic Journal
- Accession number :
- 169873727
- Full Text :
- https://doi.org/10.1002/mana.202100229