Approximating curves on real rational surfaces

János Kollár; Frédéric Mangolte

doi:10.1090/jag/658

Approximating curves on real rational surfaces

János Kollár, Frédéric Mangolte

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We give necessary and sufficient topological conditions for a simple closed curve on a real rational surface to be approximable by smooth rational curves. We also study approximation by smooth rational curves with given complex self-intersection number.

Original language	English (US)
Pages (from-to)	549-570
Number of pages	22
Journal	Journal of Algebraic Geometry
Volume	25
Issue number	3
DOIs	https://doi.org/10.1090/jag/658
State	Published - 2016

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Geometry and Topology

Access to Document

10.1090/jag/658

Cite this

@article{ab582128794949b881c2db7c79f29e35,

title = "Approximating curves on real rational surfaces",

abstract = "We give necessary and sufficient topological conditions for a simple closed curve on a real rational surface to be approximable by smooth rational curves. We also study approximation by smooth rational curves with given complex self-intersection number.",

author = "J{\'a}nos Koll{\'a}r and Fr{\'e}d{\'e}ric Mangolte",

note = "Publisher Copyright: {\textcopyright} 2016 University Press, Inc.",

year = "2016",

doi = "10.1090/jag/658",

language = "English (US)",

volume = "25",

pages = "549--570",

journal = "Journal of Algebraic Geometry",

issn = "1056-3911",

publisher = "American Mathematical Society",

number = "3",

}

TY - JOUR

T1 - Approximating curves on real rational surfaces

AU - Kollár, János

AU - Mangolte, Frédéric

PY - 2016

Y1 - 2016

N2 - We give necessary and sufficient topological conditions for a simple closed curve on a real rational surface to be approximable by smooth rational curves. We also study approximation by smooth rational curves with given complex self-intersection number.

AB - We give necessary and sufficient topological conditions for a simple closed curve on a real rational surface to be approximable by smooth rational curves. We also study approximation by smooth rational curves with given complex self-intersection number.

UR - http://www.scopus.com/inward/record.url?scp=84969699791&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84969699791&partnerID=8YFLogxK

U2 - 10.1090/jag/658

DO - 10.1090/jag/658

M3 - Article

AN - SCOPUS:84969699791

SN - 1056-3911

VL - 25

SP - 549

EP - 570

JO - Journal of Algebraic Geometry

JF - Journal of Algebraic Geometry

IS - 3

ER -

Approximating curves on real rational surfaces

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this