The 19th KMGS will be held on May 11th, Thursday, at Natural Science Building (E6-1) Room 1501.
We invite a speaker Doyoung Choi from the Dept. of Mathematical Sciences, KAIST.
The abstract of the talk is as follows.
Slot (AM 11:50~PM 12:30)
[Speaker] Doyoung Choi(최도영) from Dept. of Mathematical Sciences, KAIST, supervised by Prof. Yongnam Lee (이용남 교수님)
[Title] Degree of the 3-secant variety
[Discipline] Algebraic geometry
[Abstract]
In this talk, we present a formula for the degree of the 3-secant variety of a nonsingular projective variety embedded by a 3-very ample line bundle. The formula is provided in terms of Segre classes of the tangent bundle of a given variety. We use the generalized version of double point formula to reduce the calculation into the case of the 2-secant variety. Due to the singularity of the 2-secant variety, we use secant bundle as a nonsingular birational model and compute multiplications of desired algebraic cycles.
[Language] Korean
