LEADER 05517nam  22014535  450 
001 9910154753303321
005 20190708092533.0
010   $a1-4008-8171-4
024 7 $a10.1515/9781400881710
035   $a(CKB)3710000000620134
035   $a(SSID)ssj0001651233
035   $a(PQKBManifestationID)16425327
035   $a(PQKBTitleCode)TC0001651233
035   $a(PQKBWorkID)14419870
035   $a(PQKB)11156672
035   $a(MiAaPQ)EBC4738562
035   $a(DE-B1597)468026
035   $a(OCoLC)979579083
035   $a(DE-B1597)9781400881710
035   $a(EXLCZ)993710000000620134
100   $a20190708d2016      fg              
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt
182   $cc
183   $acr
200 10$aArithmetic Moduli of Elliptic Curves. (AM-108), Volume 108 /$fBarry Mazur, Nicholas M. Katz
210  1$aPrinceton, NJ : $cPrinceton University Press, $d[2016]
210  4$dİ1985
215   $a1 online resource (532 pages) $cillustrations
225 0 $aAnnals of Mathematics Studies ;$v272
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a0-691-08349-5 
311   $a0-691-08352-5 
320   $aIncludes bibliographical references.
327   $tFrontmatter -- $tTABLE OF CONTENTS -- $tINTRODUCTION -- $tChapter 1. GENERALITIES ON " A-STRUCTURES" AND " A-GENERATORS" -- $tChapter 2. REVIEW OF ELLIPTIC CURVES -- $tChapter 3. THE FOUR BASIC MODULI PROBLEMS FOR ELLIPTIC CURVES: SORITES -- $tChapter 4. THE FORMALISM OF MODULI PROBLEMS -- $tChapter 5. REGULARITY THEOREMS -- $tChapter 6. CYCLICITY -- $tChapter 7. QUOTIENTS BY FINITE GROUPS -- $tChapter 8. COARSE MODULI SCHEMES, CUSPS, AND COMPACTIFICATION -- $tChapter 9. MODULI PROBLEMS VIEWED OVER CYCLOTOMIC INTEGER RINGS -- $tChapter 10. THE CALCULUS OF CUSPS AND COMPONENTS VIA THE GROUPS T[N], AND THE GLOBAL STRUCTURE OF THE BASIC MODULI PROBLEMS -- $tChapter 11. INTERLUDE-EXOTIC MODULAR MORPHISMS AND ISOMORPHISMS -- $tChapter 12. NEW MODULI PROBLEMS IN CHARACTERISTIC p; IGUSA CURVES -- $tChapter 13. REDUCTIONS mod p OF THE BASIC MODULI PROBLEMS -- $tChapter 14. APPLICATION TO THEOREMS OF GOOD REDUCTION -- $tNOTES ADDED IN PROOF -- $tREFERENCES
330   $aThis work is a comprehensive treatment of recent developments in the study of elliptic curves and their moduli spaces. The arithmetic study of the moduli spaces began with Jacobi's "Fundamenta Nova" in 1829, and the modern theory was erected by Eichler-Shimura, Igusa, and Deligne-Rapoport. In the past decade mathematicians have made further substantial progress in the field. This book gives a complete account of that progress, including not only the work of the authors, but also that of Deligne and Drinfeld.
410  0$aAnnals of mathematics studies ;$vNumber 108.
606   $aCurves, Elliptic
606   $aModuli theory
606   $aGeometry, Algebraic
610   $aAbelian variety.
610   $aAddition.
610   $aAlgebraic variety.
610   $aAlgebraically closed field.
610   $aAmbient space.
610   $aArithmetic.
610   $aAxiom.
610   $aBarry Mazur.
610   $aBase change.
610   $aCalculation.
610   $aCanonical map.
610   $aChange of base.
610   $aClosed immersion.
610   $aCoefficient.
610   $aCoherent sheaf.
610   $aCokernel.
610   $aCommutative property.
610   $aCongruence relation.
610   $aCoprime integers.
610   $aCorollary.
610   $aCusp form.
610   $aCyclic group.
610   $aDense set.
610   $aDiagram (category theory).
610   $aDimension.
610   $aDiscrete valuation ring.
610   $aDisjoint union.
610   $aDivisor.
610   $aEigenfunction.
610   $aElliptic curve.
610   $aEmpty set.
610   $aFactorization.
610   $aField of fractions.
610   $aFinite field.
610   $aFinite group.
610   $aFinite morphism.
610   $aFree module.
610   $aFunctor.
610   $aGroup (mathematics).
610   $aInteger.
610   $aIrreducible component.
610   $aLevel structure.
610   $aLocal ring.
610   $aMaximal ideal.
610   $aModular curve.
610   $aModular equation.
610   $aModular form.
610   $aModuli space.
610   $aMorphism of schemes.
610   $aMorphism.
610   $aNeighbourhood (mathematics).
610   $aNoetherian.
610   $aOne-parameter group.
610   $aOpen problem.
610   $aPrime factor.
610   $aPrime number.
610   $aPrime power.
610   $aQ.E.D.
610   $aRegularity theorem.
610   $aRepresentation theory.
610   $aResidue field.
610   $aRiemann hypothesis.
610   $aSmoothness.
610   $aSpecial case.
610   $aSubgroup.
610   $aSubring.
610   $aSubset.
610   $aTheorem.
610   $aTopology.
610   $aTwo-dimensional space.
610   $aZariski topology.
615  0$aCurves, Elliptic.
615  0$aModuli theory.
615  0$aGeometry, Algebraic.
676   $a516.3/5
700   $aKatz$b Nicholas M., $059374
702   $aMazur$b Barry, 
801  0$bDE-B1597
801  1$bDE-B1597
906   $aBOOK
912   $a9910154753303321
996   $aArithmetic Moduli of Elliptic Curves. (AM-108), Volume 108$92788038
997   $aUNINA