$n$-blocks collections on Fano manifolds and sheaves with regularity $-\infty$

Details $n$-blocks collections on Fano manifolds and sheaves with regularity $-\infty$ $n$-blocks collections on Fano manifolds and sheaves with regularity $-\infty$

2007-10-18

arxiv.org/abs/0710.3531v2

Mathematics

Algebraic Geometry

5 pages, no figures, to appear on Matematiche (Catania)

Scientific paper

Let $X$ be a smooth Fano manifold equipped with a `` nice '' $n$-blocks collection in the sense of \cite{cm2} and $\mathcal {F}$ a coherent sheaf on $X$. Assume that $X$ is Fano and that all blocks are coherent sheaves. Here we prove that $\mathcal {F}$ has regularity $-\infty$ in the sense of \cite{cm2} if ${Supp}(\mathcal {F})$ is finite, the converse being true under mild assumptions. The corresponding result is also true when $X$ has a geometric collection in the sense of \cite{cm1}.

Affiliated with

Also associated with

No associations

Rating

$n$-blocks collections on Fano manifolds and sheaves with regularity $-\infty$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with $n$-blocks collections on Fano manifolds and sheaves with regularity $-\infty$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $n$-blocks collections on Fano manifolds and sheaves with regularity $-\infty$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-461377