24 citations · 66 across the 12 of their papers we have counts for
14 papers · 1 filter
Harbourne constants, pull-back clusters and ramified morphisms
Piotr Pokora, Joaquim Roé
We describe the effect of ramified morphisms on Harbourne constants of reduced effective divisors. With this goal, we introduce the pullback of a weighted cluster of infinitely nea…
The Halphen cubics of order two
Thomas Bauer, Brian Harbourne, Joaquim Roé +1
For each , Roulleau and Urzúa give an implicit construction of a configuration of complex plane cubic curves. This construction was crucial for their work on su…
Newton-Okounkov bodies sprouting on the valuative tree
C. Ciliberto, M. Farnik, A. Küronya +3
Given a smooth projective algebraic surface X, a point O in X and a big divisor D on X, we consider the set of all Newton-Okounkov bodies of D with respect to valuations of the fie…
Very general monomial valuations of and a Nagata type conjecture
Marcin Dumnicki, Brian Harbourne, Alex Küronya +2
It is well known that multi-point Seshadri constants for a small number of points in the projective plane are submaximal. It is predicted by the Nagata conjecture that their va…
Recent developments and open problems in linear series
Thomas Bauer, Cristiano Bocci, Susan Cooper +11
In the week 3--9, October 2010, the Mathematisches Forschungsinstitut at Oberwolfach hosted a mini workshop Linear Series on Algebraic Varieties. These notes contain a variety of i…
An inequality between multipoint Seshadri constants
J. Roé, J. Ross
Let X be a projective variety of dimension n and L be a nef divisor on X. Denote by e_d(r;X,L) the d-dimensional Seshadri constant of r very general points in X. We prove that e_d(…