BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Hasan Suluyer (METU) DTSTART:20250425T124000Z DTEND:20250425T134000Z DTSTAMP:20260423T052708Z UID:OBAGS/67 DESCRIPTION:Title: P encils of Conic-Line Curves\nby Hasan Suluyer (METU) as part of ODTU-B ilkent Algebraic Geometry Seminars\n\n\nAbstract\nA pencil is a line in th e projective space of complex homogeneous polynomials of some degree d > 2 . The number m of curves whose irreducible components are only lines in so me 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 t hat the number m\, independent of d\, cannot exceed 4 for an (m\,d)-net. W hen the degree of each irreducible component of a curve is at most 2\, thi s curve is called a conic-line curve and it is a union of lines or irreduc ible conics in the complex projective plane. Our main goal is to find an u pper bound on the number m of such curves in pencils in CP^2 with the numb er of concurrent lines in these pencils.\n\nIn this talk\, we study the re strictions on the number m of conic-line curves in special pencils. The mo st 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-parame ter family of pencils such that each pencil in the family contains exactly 4 conic-line curves.\n LOCATION:https://researchseminars.org/talk/OBAGS/67/ END:VEVENT END:VCALENDAR