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035   $a(DE-B1597)9781400881482
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100   $a20190708d2016      fg              
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt
182   $cc
183   $acr
200 10$aEntire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 /$fPhillip A. Griffiths
210  1$aPrinceton, NJ : $cPrinceton University Press, $d[2016]
210  4$d©1976
215   $a1 online resource (112 pages) $cillustrations
225 0 $aAnnals of Mathematics Studies ;$v230
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a0-691-08171-9 
311   $a0-691-08172-7 
320   $aIncludes bibliographical references.
327   $tFrontmatter -- $tTABLE OF CONTENTS -- $tINDEX OF NOTATIONS -- $tINTRODUCTION -- $tCHAPTER 1. ORDERS OF GROWTH -- $tCHAPTER 2. THE APPEARANCE OF CURVATURE -- $tCHAPTER 3. THE DEFECT RELATIONS -- $tBIBLIOGRAPHY -- $tBackmatter
330   $aThe present monograph grew out of the fifth set of Hermann Weyl Lectures, given by Professor Griffiths at the Institute for Advanced Study, Princeton, in fall 1974.In Chapter 1 the author discusses Emile Borel's proof and the classical Jensen theorem, order of growth of entire analytic sets, order functions for entire holomorphic mappings, classical indicators of orders of growth, and entire functions and varieties of finite order.Chapter 2 is devoted to the appearance of curvature, and Chapter 3 considers the defect relations. The author considers the lemma on the logarithmic derivative, R. Nevanlinna's proof of the defect relation, and refinements of the classical case.
410  0$aAnnals of mathematics studies ;$vNumber 85.
606   $aHolomorphic mappings
610   $aAlgebraic variety.
610   $aAnalytic function.
610   $aAnalytic set.
610   $aArmand Borel.
610   $aBig O notation.
610   $aCanonical bundle.
610   $aCartesian coordinate system.
610   $aCharacteristic function (probability theory).
610   $aCharacterization (mathematics).
610   $aChern class.
610   $aCompact Riemann surface.
610   $aCompact space.
610   $aComplex analysis.
610   $aComplex manifold.
610   $aComplex projective space.
610   $aCorollary.
610   $aCounting.
610   $aCurvature.
610   $aDegeneracy (mathematics).
610   $aDerivative.
610   $aDifferential form.
610   $aDimension.
610   $aDivisor.
610   $aElementary proof.
610   $aEntire function.
610   $aEquation.
610   $aExponential growth.
610   $aGaussian curvature.
610   $aHermann Weyl.
610   $aHodge theory.
610   $aHolomorphic function.
610   $aHyperplane.
610   $aHypersurface.
610   $aInfinite product.
610   $aIntegral geometry.
610   $aInvariant measure.
610   $aInverse problem.
610   $aJacobian matrix and determinant.
610   $aKähler manifold.
610   $aLine bundle.
610   $aLinear equation.
610   $aLogarithmic derivative.
610   $aManifold.
610   $aMeromorphic function.
610   $aModular form.
610   $aMonograph.
610   $aNevanlinna theory.
610   $aNonlinear system.
610   $aPhillip Griffiths.
610   $aPicard theorem.
610   $aPolynomial.
610   $aProjective space.
610   $aQ.E.D.
610   $aQuantity.
610   $aRicci curvature.
610   $aRiemann sphere.
610   $aScientific notation.
610   $aSeveral complex variables.
610   $aSpecial case.
610   $aStokes' theorem.
610   $aSubset.
610   $aSummation.
610   $aTheorem.
610   $aTheory.
610   $aUniformization theorem.
610   $aUnit square.
610   $aVolume form.
615  0$aHolomorphic mappings.
676   $a515/.9
700   $aGriffiths$b Phillip A., $057421
801  0$bDE-B1597
801  1$bDE-B1597
906   $aBOOK
912   $a9910154753903321
996   $aEntire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85$92788315
997   $aUNINA