Real line arrangements and vanishing cycles

Abstract: We investigate the topology of a double cover of a complex affine plane branching along a nodal real line arrangement.We define certain topological 2-cycles in the double plane using the real structure of the arrangement.These cycles resemble vanishing cycles of Lefschetz.We then calculate their intersection numbers.

algebraic geometry

Audience: researchers in the discipline

ODTU-Bilkent Algebraic Geometry Seminars