2013/09/27 by Francesco Amodeo, Riccardo Moschetti, Amodeo, Francesco +1 · 1 citation
Mathematics · #14F05 #18E30 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14F05 #msc:18E30
paper · pdf · doi:10.48550/arxiv.1309.7215
23 pages, Final version to appear in J. Algebra
arxiv created 2015/05/17 · arxiv updated 2015/05/19
We show that every exact fully faithful functor from the category of perfect complexes on the spectrum of dual numbers to the bounded derived category of a noetherian separated scheme is of Fourier-Mukai type. The kernel turns out to be an object of the bounded derived category of coherent complexes on the product of the two schemes. We also study the space of stability conditions on the derived category of the spectrum of dual numbers.