You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar
\nSpeaker: Alexander Degtyarev (Bilkent)<\/p>\n
“Lines in singular triquadrics”<\/p>\n
Date: 4 December 2020, Friday
\nTime: 15:40
\nPlace: Zoom<\/p>\n
This is an online seminar. To request the event link, please send a message to sertoz@bilkent.edu.tr<\/p>\n
Abstract: Thanks to the global Torelli theorem, one can relatively easy bound the number of lines (and even classify the large configurations of lines) in any *smooth* polarized K3-surface. The situation changes if *singular* (necessarily ADE-) surfaces are considered: only partial results are known (mainly due to Davide Veniani) and only for quartics. I will discuss our recent work where we adjust the arithmetical reduction for the singular case; in particular, I will explain why it is difficult to keep track of the lines and exceptional divisors simultaneously.<\/p>\n
We have tested our approach in the case of octic surfaces in P^5, most notably triquadrics. The sharp upper bound on the number of lines in a *singular* triquadric is 32, as opposed to the 36 lines in a smooth one. For special octics these bounds are 30 and 33, respectively.<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar Speaker: Alexander Degtyarev (Bilkent) “Lines in singular triquadrics” Date: 4 December 2020, Friday Time: 15:40 Place: Zoom This is an online seminar. To request the event link, please send a message to sertoz@bilkent.edu.tr Abstract: Thanks to the global Torelli theorem, [\u2026] <\/p>\n