Spinor class fields for sheaves of lattices

Mathematics – Number Theory

Scientific paper

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Scientific paper

We extend the theory of spinor class field and representation fields
previously defined for lattices over the ring of integers of a number field to
both, lattices over the coordinate ring of a smooth irreducible affine curve
over a finite field, and sheaves of lattices over the structure sheaf of an
irreducible smooth projective curve over a finite field.

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