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• W2916477071 abstract "In this paper, we study generalized line bundles over $C_n$, a primitive multiple curve of arbitrary multiplicity $n$, where $n$ is a positive integer. In particular, we give a structure theorem for them and we characterize their semistability in terms of $n-1$ integral invariants, the indices. These results are used to describe the irreducible components that contain stable generalized line bundles in the Simpson moduli space of semistable sheaves of generalized rank $n$ and fixed generalized degree on $C_n$. We compute also the dimension of the Zariski tangent space to this moduli space in a point representing a generic generalized line bundle (any generalized line bundle for $n=3$). In the case $n=1$ all the results are completely trivial, while the case $n=2$ has already been treated by Chen and Kass." @default.
• W2916477071 created "2019-03-02" @default.
• W2916477071 creator A5035983206 @default.
• W2916477071 date "2019-02-25" @default.
• W2916477071 modified "2023-09-27" @default.
• W2916477071 title "Generalized line bundles on primitive multiple curves and their moduli" @default.
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• W2916477071 hasPublicationYear "2019" @default.
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