SPEAKER: Kristian Ranestad (Oslo/MSRI)

TITLE: Veronese surfaces and line arrangements

ABSTRACT: In recent work with Tom Graber, we recovered old results of Kapranov on d-uple Veronese surfaces containing the intersection points of d+3 and d+4 pairwise intersecting d-planes. In particular we obtain a new proof that the moduli of stable line arrangements of degree 5 has a compactification isomorphic to the Del Pezzo surface of degree 5. This is a special case of the compactified moduli of linearrangements studied recently by Paul Hacking, Sean Keel and Eugene Tevelev.