Singular bielliptic curves and Weierstrass points

Here we study the Weierstrass points of singular bielliptic curves in characteristic 0. Most of our results are existence results of the type "there exists a bielliptic curve <em>Y</em> with certain singular points and with a weierstrass point <em>P ∈ Y_{reg}</em> with a...

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Main Author:	Edoardo Ballico
Format:	Article
Language:	English
Published:	Università degli Studi di Catania 1999-10-01
Series:	Le Matematiche
Online Access:	http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/330

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spelling	doaj-8df09edc95c84d6e9215023745631f0c2020-11-25T03:41:54ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52981999-10-01542275285306Singular bielliptic curves and Weierstrass pointsEdoardo BallicoHere we study the Weierstrass points of singular bielliptic curves in characteristic 0. Most of our results are existence results of the type "there exists a bielliptic curve <em>Y</em> with certain singular points and with a weierstrass point <em>P ∈ Y_{reg}</em> with a prescribed gap sequence". Another main result is a smoothness one for the set of all genus <em>g</em> bielliptic curves with prescribed singularities.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/330
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Edoardo Ballico
spellingShingle	Edoardo Ballico Singular bielliptic curves and Weierstrass points Le Matematiche
author_facet	Edoardo Ballico
author_sort	Edoardo Ballico
title	Singular bielliptic curves and Weierstrass points
title_short	Singular bielliptic curves and Weierstrass points
title_full	Singular bielliptic curves and Weierstrass points
title_fullStr	Singular bielliptic curves and Weierstrass points
title_full_unstemmed	Singular bielliptic curves and Weierstrass points
title_sort	singular bielliptic curves and weierstrass points
publisher	Università degli Studi di Catania
series	Le Matematiche
issn	0373-3505 2037-5298
publishDate	1999-10-01
description	Here we study the Weierstrass points of singular bielliptic curves in characteristic 0. Most of our results are existence results of the type "there exists a bielliptic curve <em>Y</em> with certain singular points and with a weierstrass point <em>P ∈ Y_{reg}</em> with a prescribed gap sequence". Another main result is a smoothness one for the set of all genus <em>g</em> bielliptic curves with prescribed singularities.<br />
url	http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/330
work_keys_str_mv	AT edoardoballico singularbiellipticcurvesandweierstrasspoints
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Singular bielliptic curves and Weierstrass points

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