Abstract
In this section we will introduce “shtukas” which are also called “F-sheaves” or “FH-sheaves.” Let A and k be defined as in Subsection 4.1; so k is a global field over the finite field F r and A is the subring of functions regular away from a fixed place ∞. As in Sections 4 and 5, we have seen that Drinfeld modules and T-modules correspond to representing A as a ring of operators on G d a for some d. The notion of a shtuka, then corresponds to a proper model of this action, i.e., the shtukas will be certain locally free sheaves on the complete curve X corresponding to k (or X base changed to an overfield of F r ). One can then study shtukas through powerful projective methods.
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© 1998 Springer-Verlag Berlin Heidelberg
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Goss, D. (1998). Shtukas. In: Basic Structures of Function Field Arithmetic. Ergebnisse der Mathematik und ihrer Grenzgebeite. 3. Folge, vol 35. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61480-4_6
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DOI: https://doi.org/10.1007/978-3-642-61480-4_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-63541-3
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