Семинар Лаборатории алгебраической геометрии: Л. Бадеску

на семинаре Лаборатории Алгебраической Геометрии в пятницу выступит Лучиан Бадеску.

  September 4, 2015, Lucian-Silvestru Badescu (IMAR) Seshadri positive submanifolds of polarized manifolds

  Let $Y$ be a submanifold of dimension $y$ of a polarized complex manifold $(X,A)$ of dimension $k\geq 2$, with $1\leq y\leq k-1$. We define and study two positivity conditions on $Y$ in $(X,A)$, called Seshadri $A$-bigness and (a stronger one) Seshadri $A$-ampleness. In this way we get the natural generalization of the theory initiated by Roberto Paoletti in the middle ninetieth (which corresponds to the case $(k,y)=(3,1)$) and subsequently generalized and completed a couple of years later (regarding curves in a polarized manifold of arbitrary dimension). The theory presented here, which is new even if $y=k-1$, is motivated by a reasonably large area of examples.