Seminar
| Parent Program: | -- |
|---|---|
| Location: | SLMath: Baker Board Room |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Let X be an n-dimensional hypersurface containing a family of lines of
dimension larger than the expected one. If the degree of X is at most
n+1, it was conjectured by Debarre and De Jong that X is necessarily
singular.ÊIn this talk, we present a strategy for looking for singular points on X
in the case in which the degree of X is at least n+1 and X contains an
(n-1)-dimensional family of lines. This is a variant of the Debarre-De
Jong problem proposed by Beheshti and Starr.
(See the joint preprint with J.M. Landsberg, arXiv:0810.4158)