2 citations · 2 across the 3 of their papers we have counts for
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math.AG2008
Zariski decomposition of b-divisors
Alex Kuronya, Catriona Maclean
Based on a recent work by Thomas Bauer reproving the existence of Zariski decompositions for surfaces, we construct a b-divisorial analogue of Zariski decomposition in all dimensio…
math.AG2006
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^…
math.AG2005★ 2 cited
Asymptotic cohomological functions on projective varieties
Alex Kuronya
In this paper we define certain analogues of the volume of a divisor - called asymptotic cohomological functions - and investigate their behaviour on the Neron--Severi space. We es…