You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar.<\/p>\n
Speaker: Enis Kaya (KU Leuven)<\/p>\n
“Rational curves on del Pezzo surfaces”<\/p>\n
Abstract: In this talk, we explore the connection between the enumerative geometry of rational curves on del Pezzo surfaces over a field k and the arithmetic properties of k. In particular, we classify the number of k-rational lines and conic families that can occur on del Pezzo surfaces of degrees 3 through 9 in terms of the Galois theory of k, and we give partial results in degrees 1 and 2. Our results generalize well-known theorems in the setting of smooth cubic surfaces. This is joint work in progress with Stephen McKean, Sam Streeter and Harkaran Uppal.<\/p>\n
Date: 1 November 2024, Friday
\nTime: 15:40 (GMT+3)
\nPlace: Zoom<\/p>\n
This is an online seminar. To request the event link, please send a message to sertoz@bilkent.edu.tr<\/a><\/p>\n","protected":false},"excerpt":{"rendered":" You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar. Speaker: Enis Kaya (KU Leuven) “Rational curves on del Pezzo surfaces” Abstract: In this talk, we explore the connection between the enumerative geometry of rational curves on del Pezzo surfaces over a field k and the arithmetic properties of k. [\u2026] <\/p>\n