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035   $a(DE-B1597)9781400881901
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100   $a20190708d2016      fg              
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt
182   $cc
183   $acr
200 14$aThe Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64 /$fHung-his Wu
210  1$aPrinceton, NJ : $cPrinceton University Press, $d[2016]
210  4$dİ1970
215   $a1 online resource (252 pages) $cillustrations
225 0 $aAnnals of Mathematics Studies ;$v254
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a0-691-08073-9 
320   $aIncludes bibliographical references and index.
327   $tFrontmatter -- $tPREFACE -- $tINTRODUCTION -- $tCONTENTS -- $tChapter I. Generalities on projective spaces and Grassmannians -- $tChapter II. Nevanlinna theory of meromorphic functions -- $tChapter III. Elementary properties of holomorphic curves -- $tChapter IV. The two main theorems for holomorphic curves -- $tChapter V. The defect relations -- $tReferences -- $tIndex of principal definitions
330   $aThis work is a fresh presentation of the Ahlfors-Weyl theory of holomorphic curves that takes into account some recent developments in Nevanlinna theory and several complex variables. The treatment is differential geometric throughout, and assumes no previous acquaintance with the classical theory of Nevanlinna. The main emphasis is on holomorphic curves defined over Riemann surfaces, which admit a harmonic exhaustion, and the main theorems of the subject are proved for such surfaces. The author discusses several directions for further research.
410  0$aAnnals of mathematics studies ;$vno. 64.
606   $aValue distribution theory
606   $aAnalytic functions
606   $aFunctions, Meromorphic
610   $aAddition.
610   $aAlgebraic curve.
610   $aAlgebraic number.
610   $aAtlas (topology).
610   $aBinomial coefficient.
610   $aCauchy?Riemann equations.
610   $aCompact Riemann surface.
610   $aCompact space.
610   $aComplex manifold.
610   $aComplex projective space.
610   $aComputation.
610   $aContinuous function (set theory).
610   $aCovariant derivative.
610   $aCritical value.
610   $aCurvature form.
610   $aDiagram (category theory).
610   $aDifferential form.
610   $aDifferential geometry of surfaces.
610   $aDifferential geometry.
610   $aDimension.
610   $aDivisor.
610   $aEssential singularity.
610   $aEuler characteristic.
610   $aExistential quantification.
610   $aFiber bundle.
610   $aGaussian curvature.
610   $aGeodesic curvature.
610   $aGeometry.
610   $aGrassmannian.
610   $aHarmonic function.
610   $aHermann Weyl.
610   $aHermitian manifold.
610   $aHolomorphic function.
610   $aHomology (mathematics).
610   $aHyperbolic manifold.
610   $aHyperplane.
610   $aHypersurface.
610   $aImproper integral.
610   $aIntersection number (graph theory).
610   $aIsometry.
610   $aLine integral.
610   $aManifold.
610   $aMeromorphic function.
610   $aMinimal surface.
610   $aNevanlinna theory.
610   $aOne-form.
610   $aOpen problem.
610   $aOpen set.
610   $aOrthogonal complement.
610   $aParameter.
610   $aPicard theorem.
610   $aProduct metric.
610   $aQ.E.D.
610   $aRemainder.
610   $aRiemann sphere.
610   $aRiemann surface.
610   $aSmoothness.
610   $aSpecial case.
610   $aSubmanifold.
610   $aSubset.
610   $aTangent space.
610   $aTangent.
610   $aTheorem.
610   $aThree-dimensional space (mathematics).
610   $aUnit circle.
610   $aUnit vector.
610   $aVector field.
610   $aVolume element.
610   $aVolume form.
615  0$aValue distribution theory.
615  0$aAnalytic functions.
615  0$aFunctions, Meromorphic.
676   $a517.5
700   $aWu$b Hung-his, $01208697
801  0$bDE-B1597
801  1$bDE-B1597
906   $aBOOK
912   $a9910154750103321
996   $aThe Equidistribution Theory of Holomorphic Curves. (AM-64), Volume 64$92788682
997   $aUNINA