On the curves through a general point of a smooth surface in \(\mathbb{P}^ 3\)
type: Item
instance of: scholarly article
title: On the curves through a general point of a smooth surface in \(\mathbb{P}^ 3\)
zbMATH Open document ID: 0842.14008
DOI: 10.1007/BF02572352
author: Angelo Felice Lopez
author: Gian Pietro Pirola
published in: Mathematische Zeitschrift
publication date: 1996-07-25T00:00:00Z
full work available at URL: https://eudml.org/doc/174760
review text: In this paper the authors study the geometry of correspondences with null trace of low degree, on a smooth surface in \(\mathbb{P}^3\) of degree \(d\geq 5\). In their main theorem they prove that given a smooth surface in \(\mathbb{P}^3\) of degree \(d\geq 5\) and a correspondence of degree \(n\) with null trace, then \(n\geq d-2\). Furthermore, they show for which correspondences the above inequality is an equality. They use their main theorem to get several applications on linear series on families of curves on a given surface.
reviewed by: Aigli Papantonopoulou
Mathematics Subject Classification ID: 14E05
Mathematics Subject Classification ID: 14C20
Mathematics Subject Classification ID: 14N05
Mathematics Subject Classification ID: 14H50
zbMATH DE Number: 784102
zbMATH Keywords: correspondences
zbMATH Keywords: linear series
Wikidata QID: Q60143218
MaRDI profile type: Publication
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OpenAlex ID: W1990006560
description: scientific article; zbMATH DE number 784102