Multiplicity in difference geometry
classification
🧮 math.AG
keywords
differencegeometrymultiplicitycorrectcountedcurvesdevelopmentfibres
read the original abstract
We prove a first principle of preservation of multiplicity in difference geometry, paving the way for the development of a more general intersection theory. In particular, the fibres of a \sigma-finite morphism between difference curves are all of the same size, when counted with correct multiplicities.
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