Smoothing of Quiver Varieties

2006/07/12 by Klaus Altmann, Altmann, Klaus, Duco van Straten +1
Mathematics · #13D10 #14B07 #14J45 #14M25 #16G20 #52B20 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:13D10 #msc:14B07 #msc:14J45 #msc:14M25 #msc:16G20 #msc:52B20

paper · pdf · doi:10.48550/arxiv.math/0607285

20 pages

arxiv created 2006/07/12 · arxiv updated 2009/12/01

Abstract

We show that Gorenstein singularities that are cones over singular Fano varieties provided by so-called flag quivers are smoothable in codimension three. Moreover, we give a precise characterization about the smoothability in codimension three of the Fano variety itself.

Related

• Smooth Toric Quiver Varieties
• Smoothings of Fano varieties with normal crossing singularities
• Projective smoothing of varieties with simple normal crossings
• Non-smoothable curve singularities
• Terminal Fano threefolds and their smoothings