Minimal Models for Curves over Dedekind Rings

T. Chinburg

Chapter Chapter XIII in Arithmetic Geometry, 1986, pp 309-326 from Springer

Abstract: Abstract In this chapter we review the construction by Lichtenbaum [8] and Shafare-vitch [11] of relatively minimal and minimal models of curves over Dedekind rings. We have clpsely followed Lichtenbaum [8]; some proofs have been skipped or summarized so as to go into more detail concerning other parts of the construction. Since the main arguments of [8] apply over Dedekind rings, we work always over Dedekind rings rather than discrete valuation rings.

Keywords: Minimal Model; Local Ring; Prime Divisor; Valuation Ring; Local Equation (search for similar items in EconPapers)
Date: 1986
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DOI: 10.1007/978-1-4613-8655-1_13

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