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The classification of semi-stable plane sheaves supported on quartic, quintic or sextic curves

Special Events

Speaker: Mario Maican, Instute of Mathematics, Romania
Location: 1147 MSB
Start time: Thu, May 10 2012, 3:00PM

We find locally free resolutions of length 1 for all Gieseker semi-stable sheaves on the complex projective plane having Hilbert polynomial P(m)=rm+c, where r=4, 5, 6. The corresponding moduli spaces are thus naturally stratified according to the type of resolution. The strata are quotients modulo certain algebraic groups and have concrete geometric descriptions.