Modification of the Simpson moduli space M_{3m+1}(P_2) by vector bundles (I)

G\"unther Trautmann; Oleksandr Iena

arxiv: 1012.5843 · v1 · pith:4JAZG5PPnew · submitted 2010-12-28 · 🧮 math.AG

Modification of the Simpson moduli space M_(3m+1)(P₂) by vector bundles (I)

Oleksandr Iena , G\"unther Trautmann This is my paper

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keywords spacebundlesmodulivectorsimpsonblowcompactificationconsider

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We consider the moduli space of stable vector bundles on curves embedded in P_2 with Hilbert polynomial 3m+1 and construct a compactification of this space by vector bundles. The result is a blow up of the Simpson moduli space M_{3m+1}(P_2).

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Modification of the Simpson moduli space M_(3m+1)(P₂) by vector bundles (I)

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