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Linear systems with fat points in the projective space

Student-Run Algebraic Geometry Seminar

Speaker: Olivia Dumitrescu, UC Davis
Location: 1147 MSB
Start time: Thu, Jan 19 2012, 1:10PM

We analyse linear systems of hypersufaces of fixed degree and multiplicities passing through a prescribed set of general points in P^n. We introduce Harbourne Hirschowitz conjecture in projective plane, Laface Ugaglia conjecture in three dimensional space. We present generalizations to arbitrary dimensions and we prove it for small number of points.