Proves rationality and integrality of characteristic forms for rank one sheaves and defines the F-characteristic cycle on arithmetic surfaces whose zero-section intersection computes the Swan conductor.
Kato, Swan conductors for characters of degree one in the imperfect residue field case, In: Algebraic K-theory and algebraic number theory (Honolulu, HI, 1987), pp
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F-characteristic cycle of a rank one sheaf on an arithmetic surface
Proves rationality and integrality of characteristic forms for rank one sheaves and defines the F-characteristic cycle on arithmetic surfaces whose zero-section intersection computes the Swan conductor.