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- W2784221104 abstract "We generalize a classical result about the genus of curves in projective space by Gruson and Peskine to principally polarized abelian threefolds of Picard rank one. The proof is based on wall-crossing techniques for ideal sheaves of curves in the derived category. In the process, we obtain bounds for Chern characters of other stable objects such as rank two sheaves. The argument gives a proof for projective space as well. In this case these techniques also indicate an approach for a conjecture by Hartshorne and Hirschowitz and we prove first steps towards it." @default.
- W2784221104 created "2018-01-26" @default.
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- W2784221104 date "2020-03-01" @default.
- W2784221104 modified "2023-09-25" @default.
- W2784221104 title "Derived categories and the genus of space curves" @default.
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- W2784221104 doi "https://doi.org/10.14231/ag-2020-006" @default.
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