Maximizing Curves Viewed as Free Curves-Reference-Cited by-同舟云学术

Maximizing Curves Viewed as Free Curves

Published:2023-03-22 Issue:22 Volume:2023 Page:19156-19183
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Dimca Alexandru¹,Pokora Piotr²

Affiliation:

1. Université Côte d’Azur , CNRS, LJAD, France, and Simion Stoilow Institute of Mathematics, P.O. Box 1-764, RO-014700 Bucharest, Romania

2. Department of Mathematics , Pedagogical University of Krakow, Podchoŗżych 2, PL-30-084 Kraków, Poland

Abstract

Abstract The aim of this paper is to provide a direct link between maximizing curves that occur in the construction of smooth algebraic surfaces having the maximal possible Picard numbers and reduced free plane curves with simple singularities. We also investigate odd degree plane curves with simple singularities having maximal total Tjurina number.

Funder

Romanian Ministry of Research and Innovation, CNCS - UEFISCDI

National Science Center (Poland) Sonata

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2023/22/19156/53636749/rnad042.pdf

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