Weierstrass Points with First Non-Gap Four on a Double Covering of a Hyperelliptic Curve II

Komeda, Jiryo; Ohbuchi, Akira

Serdica Mathematical Journal (2008)

  • Volume: 34, Issue: 4, page 771-782
  • ISSN: 1310-6600

Abstract

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2000 Mathematics Subject Classification: Primary 14H55; Secondary 14H30, 14J26.A 4-semigroup means a numerical semigroup whose minimum positive integer is 4. In [7] we showed that a 4-semigroup with some conditions is the Weierstrass semigroup of a ramification point on a double covering of a hyperelliptic curve. In this paper we prove that the above statement holds for every 4-semigroup.

How to cite

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Komeda, Jiryo, and Ohbuchi, Akira. "Weierstrass Points with First Non-Gap Four on a Double Covering of a Hyperelliptic Curve II." Serdica Mathematical Journal 34.4 (2008): 771-782. <http://eudml.org/doc/281469>.

@article{Komeda2008,
abstract = {2000 Mathematics Subject Classification: Primary 14H55; Secondary 14H30, 14J26.A 4-semigroup means a numerical semigroup whose minimum positive integer is 4. In [7] we showed that a 4-semigroup with some conditions is the Weierstrass semigroup of a ramification point on a double covering of a hyperelliptic curve. In this paper we prove that the above statement holds for every 4-semigroup.},
author = {Komeda, Jiryo, Ohbuchi, Akira},
journal = {Serdica Mathematical Journal},
keywords = {Weierstrass Semigroup of a Point; Double Covering of a Hyperelliptic Curve; 4-Semigroup; Weierstrass semigroup of a point; double covering of a hyperelliptic curve; 4-semigroup},
language = {eng},
number = {4},
pages = {771-782},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Weierstrass Points with First Non-Gap Four on a Double Covering of a Hyperelliptic Curve II},
url = {http://eudml.org/doc/281469},
volume = {34},
year = {2008},
}

TY - JOUR
AU - Komeda, Jiryo
AU - Ohbuchi, Akira
TI - Weierstrass Points with First Non-Gap Four on a Double Covering of a Hyperelliptic Curve II
JO - Serdica Mathematical Journal
PY - 2008
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 34
IS - 4
SP - 771
EP - 782
AB - 2000 Mathematics Subject Classification: Primary 14H55; Secondary 14H30, 14J26.A 4-semigroup means a numerical semigroup whose minimum positive integer is 4. In [7] we showed that a 4-semigroup with some conditions is the Weierstrass semigroup of a ramification point on a double covering of a hyperelliptic curve. In this paper we prove that the above statement holds for every 4-semigroup.
LA - eng
KW - Weierstrass Semigroup of a Point; Double Covering of a Hyperelliptic Curve; 4-Semigroup; Weierstrass semigroup of a point; double covering of a hyperelliptic curve; 4-semigroup
UR - http://eudml.org/doc/281469
ER -

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