Abstract:We provide a stacky fan description of the total space of certain split vector bundles, as well as their projectivization, over toric Deligne-Mumford stacks. We then specialize to the case of Hirzebruch orbifolds H ab r obtained by projectivizing O ⊕ O(r) over the weighted projective line P(a, b). Next, we give a combinatorial description of toric sheaves on H ab r and investigate their basic properties. With fixed choice of polarization and a generating sheaf, we describe the fixed point locus of the moduli s… Show more
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