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Elizabeth Wulcan: Chern forms of metrics with analytic singularities

Time: Wed 2017-10-25 13.15 - 14.15

Location: Room 306, House 6, Kräftriket, Department of Mathematics, Stockholm University

Participating: Elizabeth Wulcan (Chalmers)

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In a recent paper Lärkäng, Raufi, Ruppenthal, and Sera constructed Chern forms, or rather currents, \(c_k(E,h)\) associated with a Griffiths positive singular metric h on a holomorphic vector bundle E, that is, non-degenerate outside a variety of codimension at least k

I will discuss a joint work in progress with Lärkäng, Raufi, and Sera, where we define Chern forms for any k in the case when h has analytic singularities. Our construction uses a generalized Monge–Ampère operator for plurisubharmonic functions with analytic singularities, recently introduced by Andersson and me. Moreover our Chern forms coincide with the Lärkäng–Raufi–Ruppenthal–Sera \(c_k(E,h)\) when these are defined.

Belongs to: Stockholm Mathematics Centre
Last changed: Oct 19, 2017