30 citations · 80 across the 12 of their papers we have counts for
3 papers · 1 filter
Restricted volumes and base loci of linear series
Lawrence Ein, Robert Lazarsfeld, Mircea Mustata +2
We introduce and study the restricted volume of a divisor along a subvariety. Our main result is a description of the irreducible components of the augmented base locus by the vani…
Local syzygies of multiplier ideals
Robert Lazarsfeld, Kyungyong Lee
In recent years, multiplier ideals have found many applications in local and global algebraic geometry. Because of their importance, there has been some interest in the question of…
Higher cohomology of divisors on a projective variety
Tommaso de Fernex, Alex Kuronya, Robert Lazarsfeld
We consider a Cartier divisor L on a d-dimensional complex projective variety X. It is well-known that the dimensions of the cohomomology groups H^i(X,O_X(mL)) grow at most like m^…