Mathematics – Algebraic Geometry
Scientific paper
2011-11-03
Mathematics
Algebraic Geometry
16 pages
Scientific paper
10.1007/s00209-012-1002-3
We modify the standard perfect symmetric obstruction theory for moduli spaces
of simple perfect complexes, to the situation of complexes on abelian
threefolds with fixed determinant and Fourier-Mukai determinant. As outcome we
attach nontrivial Donaldson-Thomas invariants to moduli spaces for complexes
modulo twist and translation.
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