02154cam 2200397 i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000340013305000210016708200160018810000300020424500890023426400710032330000370039433600210043133700250045233800230047749000740050050400510057450505810062550600500120653300950125653800360135158800470138765000200143465000240145465000250147865000260150377601350152985600440166485600480170819008886RPAM20170613145843.0m b 001 0 cr/|||||||||||170613s2016 riu ob 001 0 eng  a9781470429423 (online) aDLCbengcDLCerdadDLCdRPAM00aQA242b.M86 201600a512.7/42231 aMoriwaki, Atsushi,d1960-10aAdelic divisors on arithmetic varieties /h[electronic resource] cAtsushi Moriwaki. 1aProvidence, Rhode Island :bAmerican Mathematical Society,c[2016] a1 online resource (v, 122 pages) atext2rdacontent aunmediated2rdamedia avolume2rdacarrier0 aMemoirs of the American Mathematical Society, x1947-6221 ; vv. 1144 aIncludes bibliographical references and index.00tIntroductiontChapter 1. PreliminariestChapter 2. Adelic $\mathbb R$-Cartier Divisors over a Discrete Valuation FieldtChapter 3. Local and Global Density TheoremstChapter 4. Adelic Arithmetic $\mathbb R$-Cartier DivisorstChapter 5. Continuity of the Volume FunctiontChapter 6. Zariski Decompositions of Adelic Arithmetic Divisors on Arithmetic SurfacestChapter 7. Characterization of Nef Adelic Arithmetic Divisors on Arithmetic SurfacestChapter 8. Dirichlet's unit Theorem for Adelic Arithmetic DivisorstAppendix A. Characterization of Relatively Nef Cartier Divisors1 aAccess is restricted to licensed institutions aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2016 aMode of access : World Wide Web aDescription based on print version record. 0aDivisor theory. 0aTopological groups. 0aAlgebraic varieties. 0aApproximation theory.0 iPrint version: aMoriwaki, Atsushi, 1960-tAdelic divisors on arithmetic varieties /w(DLC) 2016011014x0065-9266z97814704192644 3Contentsuhttp://www.ams.org/memo/1144/4 3Contentsuhttps://doi.org/10.1090/memo/1144