The classification of semi-stable plane sheaves supported on sextic curves
classification
🧮 math.AG
keywords
planesemi-stablesheavesstrataactionsalgebraiccasescertain
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We classify all Gieseker semi-stable sheaves on the complex projective plane that have dimension 1 and multiplicity 6. We decompose their moduli spaces into strata which occur naturally as quotients modulo actions of certain algebraic groups. In most cases we give concrete geometric descriptions of the strata.
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