01049nam0 2200289 450 00000435720090325112711.088-7303-896-420021118d2002----km-y0itay50------baitaengITy-------001yyStrumenti quantitativi per la gestione aziendalefunzioni, algebra lineare e matematica finanziariaStefan Warner [i.e.], Steven R. CostenobleMilanoApogeo2002X, 339 p.25 cmTrad. di Giulio Taiana, rev. di M. Li CalziFinite mathematics and applied calculus<in italiano>38280Modelli e metodi matematiciMatematicaApplicazioni all'economia51021MatematicaWaner,Stefan148013Costenoble,Steven R.148014ITUNIPARTHENOPE20090325RICAUNIMARC000004357213/123.9892NAVA220021118Finite mathematics and applied calculus38280UNIPARTHENOPE04712nam 22013335 450 991015474410332120190708092533.01-4008-8247-810.1515/9781400882472(CKB)3710000000631361(MiAaPQ)EBC4738733(DE-B1597)468018(OCoLC)979743327(DE-B1597)9781400882472(EXLCZ)99371000000063136120190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierLectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 /Gerd FaltingsPrinceton, NJ : Princeton University Press, [2016]©19921 online resource (113 pages)Annals of Mathematics Studies ;3090-691-08771-7 0-691-02544-4 Includes bibliographical references.Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- LIST OF SYMBOLS -- LECTURE 1. CLASSICAL RIEMANN-ROCH THEOREM -- LECTURE 2. CHERN CLASSES OF ARITHMETIC VECTOR BUNDLES -- LECTURE 3. LAPLACIANS AND HEAT KERNELS -- LECTURE 4. THE LOCAL INDEX THEOREM FOR DIRAC OPERATORS -- LECTURE 5. NUMBER OPERATORS AND DIRECT IMAGES -- LECTURE 6. ARITHMETIC RIEMANN-ROCH THEOREM -- LECTURE 7. THE THEOREM OF BISMUT-VASSEROT -- REFERENCESThe arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field of Arakelov-theory.Annals of mathematics studies ;no. 127.Geometry, AlgebraicRiemann-Roch theoremsAddition.Adjoint.Alexander Grothendieck.Algebraic geometry.Analytic torsion.Arakelov theory.Asymptote.Asymptotic expansion.Asymptotic formula.Big O notation.Cartesian coordinate system.Characteristic class.Chern class.Chow group.Closed immersion.Codimension.Coherent sheaf.Cohomology.Combination.Commutator.Computation.Covariant derivative.Curvature.Derivative.Determinant.Diagonal.Differentiable manifold.Differential form.Dimension (vector space).Divisor.Domain of a function.Dual basis.E6 (mathematics).Eigenvalues and eigenvectors.Embedding.Endomorphism.Exact sequence.Exponential function.Generic point.Heat kernel.Injective function.Intersection theory.K-group.Levi-Civita connection.Line bundle.Linear algebra.Local coordinates.Mathematical induction.Morphism.Natural number.Neighbourhood (mathematics).Parameter.Projective space.Pullback (category theory).Pullback (differential geometry).Pullback.Riemannian manifold.Riemann–Roch theorem.Self-adjoint operator.Smoothness.Sobolev space.Stochastic calculus.Summation.Supertrace.Theorem.Transition function.Upper half-plane.Vector bundle.Volume form.Geometry, Algebraic.Riemann-Roch theorems.516.3/5Faltings Gerd, 59811Zhang Shouwu1195550DE-B1597DE-B1597BOOK9910154744103321Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 1272864903UNINA03683oas 2201573 a 450 991013779160332120251105213014.01557-7430(DE-599)ZDB2520588-2(OCoLC)49629420(CONSER) 2005214525(CKB)954925275481(EXLCZ)9995492527548120020422a19909999 sy aengurmnu||||||||txtrdacontentcrdamediacrrdacarrierDNA and cell biology[Larchmont, N.Y.] Mary Ann Liebert1990-Refereed/Peer-reviewed1044-5498 DNAPeriodicalsCytologyPeriodicalsDNAGenesGeneticsTechniqueNucleic acidsRecombinant DNAPeriodicalsDNAGenesGenetic TechniquesNucleic AcidsADN recombinantPériodiquesADNPériodiquesCytologiePériodiquesADNGènesGénétiqueTechniqueAcides nucléiquesHistologyebpsDNAebpsRecombinant DNAfast(OCoLC)fst01091466Nucleic acidsfast(OCoLC)fst01041070GeneticsTechniquefast(OCoLC)fst00940145Genesfast(OCoLC)fst00939991Cytologyfast(OCoLC)fst00886282DNAfast(OCoLC)fst00886555CytologiegndZeitschriftgndDNAgttCelbiologiegttDNSswdPeriodical.Periodicals.fastDNACytologyDNA.Genes.GeneticsTechnique.Nucleic acids.Recombinant DNADNA.Genes.Genetic Techniques.Nucleic Acids.ADN recombinantADNCytologieADN.Gènes.GénétiqueTechnique.Acides nucléiques.Histology.DNA.Recombinant DNANucleic acids.GeneticsTechnique.Genes.Cytology.DNA.CytologieZeitschrift.DNA.Celbiologie.DNS.574ABCABCOCLCQDLCNSDF#AMXCOCLCQLGGPFMOCLCQAGLOCLCQDLCOCLCFOCLCOOCLCQHULOCLCQAU@OCLCEUKMGBBRKOCLCQOCLCOOCLCAVT2WT2OCLCAOCLCQOCLCOOCLCAOCLCQSFBOCLCQOCLCOOCLCQOCLOCLCAOCLCLHS0OCLCQJOURNAL9910137791603321DNA and cell biology797841UNINA