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- W2227843752 abstract "In my thesis I am interested in the Simpson moduli spaces Mam+b of semi-stable sheaves on P2 with linear Hilbert polynomial am+ b where a, b ∈ N. More precisely I want to know which ones and “how many” of them are locally free on their support. Those which are not are called singular and the subvariety they define is denoted by M ′. By determining the codimension of M ′ in Mam+b, we get information about the efficiency of the Simpson compactification. For small values of a, b as e.g. 3m+ 1 and 4m+ 1, some work has already been done and O. Iena showed that the codimension is equal to 2. Now I try to generalize this fact to am + 1. Writing a = n + 1, it has been shown by M. Maican that Mam+1 contains a dense open subset U such that all E ∈ U is given as a cokernel" @default.
- W2227843752 created "2016-06-24" @default.
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- W2227843752 date "2015-06-01" @default.
- W2227843752 modified "2023-09-23" @default.
- W2227843752 title "Non-integral torsion and 1-dimensional singular sheaves in the Simpson moduli space" @default.
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