50 citations · 216 across the 25 of their papers we have counts for
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math.NT2009★ 21 cited
An explicit approach to residues on and dualizing sheaves of arithmetic surfaces
Matthew Morrow
We develop a theory of residues for arithmetic surfaces, establish the reciprocity law around a point, and use the residue maps to explicitly construct the dualizing sheaf of the s…
math.AG2009
Euler characteristics, Fubini's theorem, and the Riemann-Hurwitz formula
Matthew Morrow
We relate Fubini's theorem for Euler characteristics to Riemann-Hurwtiz formulae, and reprove a classical result of Iversen. The techniques used include algebraic geometry, complex…