Corrigendum for "Weierstrass Points with first Non-Gap four on a Double Covering of a Hyperelliptic Curve"

Komeda, Jiryo; Ohbuci, Akira

Serdica Mathematical Journal (2006)

  • Volume: 32, Issue: 4, page 375-378
  • ISSN: 1310-6600

Abstract

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In the proof of Lemma 3.1 in [1] we need to show that we may take the two points p and q with p ≠ q such that p+q+(b-2)g21(C′)∼2(q1+… +qb-1) where q1,…,qb-1 are points of C′, but in the paper [1] we did not show that p ≠ q. Moreover, we hadn't been able to prove this using the method of our paper [1]. So we must add some more assumption to Lemma 3.1 and rewrite the statements of our paper after Lemma 3.1. The following is the correct version of Lemma 3.1 in [1] with its proof.

How to cite

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Komeda, Jiryo, and Ohbuci, Akira. "Corrigendum for "Weierstrass Points with first Non-Gap four on a Double Covering of a Hyperelliptic Curve"." Serdica Mathematical Journal 32.4 (2006): 375-378. <http://eudml.org/doc/281485>.

@article{Komeda2006,
abstract = {In the proof of Lemma 3.1 in [1] we need to show that we may take the two points p and q with p ≠ q such that p+q+(b-2)g21(C′)∼2(q1+… +qb-1) where q1,…,qb-1 are points of C′, but in the paper [1] we did not show that p ≠ q. Moreover, we hadn't been able to prove this using the method of our paper [1]. So we must add some more assumption to Lemma 3.1 and rewrite the statements of our paper after Lemma 3.1. The following is the correct version of Lemma 3.1 in [1] with its proof.},
author = {Komeda, Jiryo, Ohbuci, Akira},
journal = {Serdica Mathematical Journal},
keywords = {Weierstrass Points; Hyperelliptic Curve; Corrigendum},
language = {eng},
number = {4},
pages = {375-378},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Corrigendum for "Weierstrass Points with first Non-Gap four on a Double Covering of a Hyperelliptic Curve"},
url = {http://eudml.org/doc/281485},
volume = {32},
year = {2006},
}

TY - JOUR
AU - Komeda, Jiryo
AU - Ohbuci, Akira
TI - Corrigendum for "Weierstrass Points with first Non-Gap four on a Double Covering of a Hyperelliptic Curve"
JO - Serdica Mathematical Journal
PY - 2006
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 32
IS - 4
SP - 375
EP - 378
AB - In the proof of Lemma 3.1 in [1] we need to show that we may take the two points p and q with p ≠ q such that p+q+(b-2)g21(C′)∼2(q1+… +qb-1) where q1,…,qb-1 are points of C′, but in the paper [1] we did not show that p ≠ q. Moreover, we hadn't been able to prove this using the method of our paper [1]. So we must add some more assumption to Lemma 3.1 and rewrite the statements of our paper after Lemma 3.1. The following is the correct version of Lemma 3.1 in [1] with its proof.
LA - eng
KW - Weierstrass Points; Hyperelliptic Curve; Corrigendum
UR - http://eudml.org/doc/281485
ER -

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