Theta-characteristics on curves in characteristic two
type: Item
instance of: scholarly article
title: Theta-characteristics on curves in characteristic two
zbMATH Open document ID: 0705.14027
DOI: 10.1016/0021-8693(89)90259-7
author: E. Ballico
published in: Journal of Algebra
publication date: 1989-01-01T00:00:00Z
review text: Let \textbf{L} be a family of theta-characteristics relative to f: \(U\to S\) a flat family of smooth projective curves over an algebraically closed field \({\mathbb{F}}\) of characteristic two. The author first proves that the set \(\{s\in S| \;{\mathbf{L}}| f^{-1}(s)\) is even\} is open and closed in S, which shows that we have \(e(g)\) even theta-characteristics on every ordinary smooth curve of genus \(g\) over \({\mathbb{F}}\), and secondly expressed explicitly the integer \(e(g)\) in \(g\).
Mathematics Subject Classification ID: 14H10
Mathematics Subject Classification ID: 14K25
zbMATH DE Number: 4156635
zbMATH Keywords: theta-characteristics
zbMATH Keywords: family of smooth projective curves
zbMATH Keywords: characteristic two
reviewed by: Ryutaro Horiuchi
MaRDI profile type: Publication
full work available at URL: 0021-8693(89)90259-7
OpenAlex ID: W2089149319
cites work: Q3347989
cites work: Algebraic Homogeneous Spaces over Fields of Characteristic Two
cites work: Theta-Characteristics on Algebraic Curves
cites work: Stable vector bundles of rank 2 on \(P^ 3\)
cites work: Theta characteristics of an algebraic curve
description: scientific article; zbMATH DE number 4156635