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math.AG2024
Geometry of syzygies of sheaves on via interpolation and Bridgeland stability
Manuel Leal, Cesar Lozano Huerta, Tim Ryan
We show that the minimal free resolution of a general semi-stable sheaf on contains a subcomplex that determines an extremal ray of the cone of effective divisor…
math.AG2024
Smooth Surfaces with Maximal Lines
Janet Page, Tim Ryan, Karen E. Smith
We prove that a smooth projective surface of degree in contains at most lines. We characterize the surfaces containing exactly lin…