{"id":24535,"date":"2025-04-24T15:43:56","date_gmt":"2025-04-24T12:43:56","guid":{"rendered":"https:\/\/w3.bilkent.edu.tr\/en\/?p=24535"},"modified":"2025-04-27T22:53:53","modified_gmt":"2025-04-27T19:53:53","slug":"math-seminar-pencils-of-conic-line-curves-hasan-suluyer-340pm-april-25-2025-en","status":"publish","type":"post","link":"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-pencils-of-conic-line-curves-hasan-suluyer-340pm-april-25-2025-en\/","title":{"rendered":"MATH Seminar: \u201cPencils of Conic-Line Curves\u201d, Hasan Suluyer, 3:40PM April 25 2025 (EN)"},"content":{"rendered":"<section class=\"entry-body\">\n<div class=\"entry-content\">\n<p>You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar.<\/p>\n<p>Speaker: Hasan Suluyer (ODT\u00dc)<\/p>\n<p>\u201cPencils of Conic-Line Curves\u201d<\/p>\n<p>Abstract: A pencil is a line in the projective space of complex homogeneous polynomials of some degree d &gt; 2. The number m of curves whose irreducible components are only lines in some pencils of degree d curves plays an important role for the existence of special line arrangements, which are called (m,d)-nets. It was proved that the number m, independent of d, cannot exceed 4 for an (m,d)-net. When the degree of each irreducible component of a curve is at most 2, this curve is called a conic-line curve and it is a union of lines or irreducible conics in the complex projective plane. Our main goal is to find an upper bound on the number m of such curves in pencils in CP^2 with the number of concurrent lines in these pencils.<\/p>\n<p>In this talk, we study the restrictions on the number m of conic-line curves in special pencils. The most general result we obtain is the relation between upper bounds on m and the number of concurrent lines in these pencils. We construct a one-parameter family of pencils such that each pencil in the family contains exactly 4 conic-line curves.<\/p>\n<p>Date: 25 April 2025, Friday<br \/>\nTime: 15:40 (GMT+3)<br \/>\nPlace: Zoom<\/p>\n<p>This is an online seminar. To request the Zoom link, please send a message to sertoz@bilkent.edu.tr<\/p>\n<\/div>\n<\/section>\n<footer class=\"entry-footer\">\n<div class=\"share\"><a class=\"twitter\" title=\"Tweet this on Twitter\" href=\"https:\/\/twitter.com\/intent\/tweet?url=https%3A%2F%2Fw3.bilkent.edu.tr%2Fwww%2Fmath-semineri-pencils-of-conic-line-curves-hasan-suluyer-1540-24-nisan-2025-en%2F&amp;text=MATH+Semineri%3A+%E2%80%9CPencils+of+Conic-Line+Curves%E2%80%9D%2C+Hasan+Suluyer%2C+15%3A40+25+Nisan+2025+%28EN%29\" target=\"_blank\" rel=\"noopener\">Share on Twitter<\/a><a class=\"facebook\" title=\"Share this on Facebook\" href=\"https:\/\/facebook.com\/sharer.php?u=https%3A%2F%2Fw3.bilkent.edu.tr%2Fwww%2Fmath-semineri-pencils-of-conic-line-curves-hasan-suluyer-1540-24-nisan-2025-en%2F&amp;t=MATH+Semineri%3A+%E2%80%9CPencils+of+Conic-Line+Curves%E2%80%9D%2C+Hasan+Suluyer%2C+15%3A40+25+Nisan+2025+%28EN%29\" target=\"_blank\" rel=\"noopener\">Share on Facebook<\/a><a class=\"gplus\" title=\"Post this to Google+\" href=\"https:\/\/plus.google.com\/share?url=https%3A%2F%2Fw3.bilkent.edu.tr%2Fwww%2Fmath-semineri-pencils-of-conic-line-curves-hasan-suluyer-1540-24-nisan-2025-en%2F\" target=\"_blank\" rel=\"noopener\">Share on Google+<\/a><\/div>\n<\/footer>\n","protected":false},"excerpt":{"rendered":"<p>You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar. Speaker: Hasan Suluyer (ODT\u00dc) \u201cPencils of Conic-Line Curves\u201d Abstract: A pencil is a line in the projective space of complex homogeneous polynomials of some degree d &gt; 2. The number m of curves whose irreducible components are only lines in [\u2026] <\/p>\n<div class=\"clear\"><\/div>\n<p><a class=\"more_link clearfix\" href=\"https:\/\/w3.bilkent.edu.tr\/en\/math-seminar-pencils-of-conic-line-curves-hasan-suluyer-340pm-april-25-2025-en\/\" rel=\"nofollow\">Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-24535","post","type-post","status-publish","format-standard","hentry","category-oldposts"],"_links":{"self":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/24535","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/comments?post=24535"}],"version-history":[{"count":1,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/24535\/revisions"}],"predecessor-version":[{"id":24536,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/posts\/24535\/revisions\/24536"}],"wp:attachment":[{"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/media?parent=24535"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/categories?post=24535"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/w3.bilkent.edu.tr\/en\/wp-json\/wp\/v2\/tags?post=24535"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}