{"id":2012,"date":"2023-12-08T19:03:49","date_gmt":"2023-12-08T19:03:49","guid":{"rendered":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/?page_id=2012"},"modified":"2023-12-11T13:36:58","modified_gmt":"2023-12-11T13:36:58","slug":"on-the-hilbert-function-of-general-unions-of-a-non-special-curve-and-a-rational-curvein-pp4","status":"publish","type":"page","link":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/on-the-hilbert-function-of-general-unions-of-a-non-special-curve-and-a-rational-curvein-pp4\/","title":{"rendered":"On the Hilbert function of general unions of a non-special curve and a rational curvein $\\PP^4$"},"content":{"rendered":"\n
<\/div>\n\n\n\n
\n
<\/div>\n\n\n\n
\n
\"\"<\/figure>\n<\/div>\n\n\n\n
\n

Moroccan Journal of Algebra and Geometry with Applications<\/strong><\/p>\n\n\n\n

Latest articles<\/a><\/p>\n<\/div>\n\n\n\n

\n
<\/div>\n<\/div>\n\n\n\n
<\/div>\n\n\n\n
<\/div>\n<\/div>\n\n\n\n
\n
\n

On the Hilbert function of general unions of a non-special curve and
a rational curvein \\mathbb{P}^4<\/span> <\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

Edoardo Ballico<\/strong> <\/i>
Dept. of Mathematics, University of Trento, 38123 Povo (TN), Italy<\/p>\n\n\n\n

<\/div>\n\n\n\n

Pages 262\u2013271 | Received 23 June 2023, Accepted 29 August 2023, Published 11 December 2023 <\/span> <\/span><\/p>\n\n\n\n

\n
<\/div>\n\n\n\n
\n
<\/div>\n\n\n\n

Abstract<\/span><\/strong><\/p>\n\n\n\n

We study the Hilbert function of general unions of non-special embeddings of general curves in projective spaces, mostly in \\mathbb{P}^4<\/span>, the case of a general non-special curve of prescribed degree and genus and a rational curve of prescribed degree. We discuss several examples and suggest some extensions.<\/p>\n\n\n\n

<\/p>\n\n\n\n

Keywords<\/strong>:<\/span>  curve in projective spaces; postulation; Hilbert scheme; Hilbert function. <\/p>\n\n\n\n

MSC numbers<\/strong>:<\/span> 14H50.<\/p>\n\n\n\n

Downloads:<\/strong> Full-text PDF<\/a> <\/p>\n<\/div>\n\n\n\n

<\/div>\n<\/div>\n\n\n\n
\n
<\/div>\n\n\n\n
MJAGA_Vol2_Issue2-262-271<\/a>\n

<\/p>\n<\/div>\n\n\n\n

<\/div>\n<\/div>\n\n\n\n
<\/div>\n\n\n\n
\n
\n
\n
Previous article <\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n
\n
\n
View<\/strong> issue table of contents<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n
\n
\n
Next<\/strong> article<\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Moroccan Journal of Algebra and Geometry with Applications Latest articles On the Hilbert function of general unions of a non-special curve and a rational curvein Edoardo Ballico Dept. of Mathematics, University of Trento, 38123 Povo (TN), Italy Pages 262\u2013271 | Received 23 June 2023, Accepted 29 August 2023, Published 11 December 2023 Abstract We study Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-page-builder.php","meta":{"footnotes":""},"class_list":["post-2012","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2012","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/comments?post=2012"}],"version-history":[{"count":5,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2012\/revisions"}],"predecessor-version":[{"id":2085,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2012\/revisions\/2085"}],"wp:attachment":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/media?parent=2012"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}