Modification of the Simpson moduli space M_3m+1(P₂) by vector bundles (I)

2010/12/28 by Iena, Oleksandr, Trautmann, Günther
#14D20 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1012.5843

Abstract

We consider the moduli space of stable vector bundles on curves embedded in P₂ 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(P₂).

Related

• Universal moduli spaces of vector bundles and the log-minimal model program on the moduli of curves
• The Hilbert compactification of the universal moduli space of semistable vector bundles over smooth curves
• On the moduli scheme of stable sheaves supported on cubic space curves
• The Equivalence of Hilbert and Mumford Stability for Vector Bundles
• A Compactification Over M_g Of The Universal Moduli Space of Slope-Semistable Vector Bundles