70 citations · 417 across the 45 of their papers we have counts for
5 papers · 1 filter
Negative curves on symmetric blowups of the projective plane, resurgences and Waldschmidt constants
Thomas Bauer, Sandra Di Rocco, Brian Harbourne +3
The Klein and Wiman configurations are highly symmetric configurations of lines in the projective plane arising from complex reflection groups. One noteworthy property of these con…
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…
Restrictions on Seshadri constants on surfaces
Lucja Farnik, Tomasz Szemberg, Justyna Szpond +1
Starting with the pioneering work of Ein and Lazarsfeld restrictions on values of Seshadri constants on algebraic surfaces have been studied by many authors. In the present note we…
Bounded negativity, Harbourne constants and transversal arrangements of curves
Piotr Pokora, Xavier Roulleau, Tomasz Szemberg
The Bounded Negativity Conjecture predicts that for every complex projective surface there exists a number such that holds for all reduced curves $C\subs…
On the containment problem
Tomasz Szemberg, Justyna Szpond
The purpose of this note is to provide an overview of the containment problem for symbolic and ordinary powers of homogeneous ideals, related conjectures and examples. We focus her…