On the geometry of algebraic curves having many real components.

J. Huisman

Revista Matemática Complutense (2001)

  • Volume: 14, Issue: 1, page 83-92
  • ISSN: 1139-1138

Abstract

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We show that there is a large class of nonspecial effective divisors of relatively small degree on real algebraic curves having many real components i.e. on M-curves. We apply to 1. complete linear systems on M-curves containing divisors with entirely real support, and 2. morphisms of M-curves into P1.

How to cite

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Huisman, J.. "On the geometry of algebraic curves having many real components.." Revista Matemática Complutense 14.1 (2001): 83-92. <http://eudml.org/doc/44457>.

@article{Huisman2001,
abstract = {We show that there is a large class of nonspecial effective divisors of relatively small degree on real algebraic curves having many real components i.e. on M-curves. We apply to 1. complete linear systems on M-curves containing divisors with entirely real support, and 2. morphisms of M-curves into P1.},
author = {Huisman, J.},
journal = {Revista Matemática Complutense},
keywords = {Geometría algebraica; Curvas algebraicas reales; Sistemas lineales; Morfismos; Divisores; Variedad algebraica; morphisms of -curves; non-special effective divisors; maximal real algebraic curves; linear system},
language = {eng},
number = {1},
pages = {83-92},
title = {On the geometry of algebraic curves having many real components.},
url = {http://eudml.org/doc/44457},
volume = {14},
year = {2001},
}

TY - JOUR
AU - Huisman, J.
TI - On the geometry of algebraic curves having many real components.
JO - Revista Matemática Complutense
PY - 2001
VL - 14
IS - 1
SP - 83
EP - 92
AB - We show that there is a large class of nonspecial effective divisors of relatively small degree on real algebraic curves having many real components i.e. on M-curves. We apply to 1. complete linear systems on M-curves containing divisors with entirely real support, and 2. morphisms of M-curves into P1.
LA - eng
KW - Geometría algebraica; Curvas algebraicas reales; Sistemas lineales; Morfismos; Divisores; Variedad algebraica; morphisms of -curves; non-special effective divisors; maximal real algebraic curves; linear system
UR - http://eudml.org/doc/44457
ER -

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