A multipoint Seshadri constant measures local positivity of an ample line bundle at distinct points of a smooth projective
variety. For 
it is
 |
where 
ranges over integral curves meeting at least one marked point and multiplicity is
zero at points outside the curve. For the algebraic
blow-up 
at these points with exceptional divisors 
, it is also the largest 
such that 
is nef. In dimension 
its volume upper
bound is
 |
For example, 
on projective space has one-point constant one.
