Quadratic singularities of the Pfaffian theta divisor of a Prym variety
type: Item
instance of: scholarly article
title: Quadratic singularities of the Pfaffian theta divisor of a Prym variety
zbMATH Open document ID: 0568.14017
DOI: 10.1007/BF01138941
author: V. I. Kanev
published in: Mathematical Notes
publication date: 1982-01-01T00:00:00Z
review text: A geometric description is given for the tangent cone to a Pfaffian quadratic singularity of the theta-divisor of the Prym variety for a given two-sheeted non-ramified covering of non-singular curves. A class of singularities with tangent cone of rank 5 is also considered which are close to Mumford singularities.
Mathematics Subject Classification ID: 14H40
Mathematics Subject Classification ID: 14B05
Mathematics Subject Classification ID: 14H20
Mathematics Subject Classification ID: 14K30
zbMATH DE Number: 3906631
zbMATH Keywords: Pfaffian quadratic singularity
zbMATH Keywords: theta-divisor of the Prym variety
zbMATH Keywords: singularities with tangent cone
zbMATH Keywords: Mumford singularities
MaRDI profile type: Publication
cites work: Q4195061
cites work: On Petri's analysis of the linear system of quadrics through a canonical curve
cites work: On the Existence of Special Divisors
full work available at URL: https://doi.org/10.1007/bf01138941
OpenAlex ID: W1990786897
description: scientific article; zbMATH DE number 3906631