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Complex Analysis and Geometry Seminar

Behaviour of multipoled pluricomplex Green's fts \\ in connection with algebraic geometry pbs

Stephanie Nivoche from Nice, France

Location:  Hill 005
Date & time: Friday, 06 October 2023 at 11:00AM - 11:50AM

The Nagata Conjecture governs the minimal degree required for a plane algebraic curve to pass through a collection of \(r\) general points in the projective plane \(\P^2\) with prescribed multiplicities. The "SHGH" Conjecture governs the dimension of the linear space of these polynomials.
We formulate transcendental versions of these conjectures in term of pluripotential theory and we're making some progress.

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