02601nmm a2200445 i 4500991003325579707536cr cn ---mpcbr170207s2014 sz | o j |||| 0|eng d9783319024417 (ebook)10.1007/978-3-319-02441-7doib14316250-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng516.3623AMS 53C55AMS 32G07AMS 32Q55AMS 32Q60AMS 53D18LC QA3.L28Angella, Daniele524797Cohomological Aspects in Complex Non-Kähler Geometry[e-book] /by Daniele AngellaCham :Springer Intern. Publ.,20141 online resourcetexttxtrdacontentcomputercrdamediaonline resourcecrrdacarriertext filePDFrdaLecture Notes in Mathematics,1617-9692 ;2095Preliminaries on (almost-) complex manifolds ; Cohomology of complex manifolds ; Cohomology of nilmanifolds ; Cohomology of almost-complex manifolds ; ReferencesIn these notes, we provide a summary of recentresults on the cohomological properties of compact complex manifolds not endowed with a Kähler structure. On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties for compact Kähler manifolds. On the other, in order to further investigate any of these properties, it is natural to look for manifolds that do not have any Kähler structure. We focus in particular on studying Bott-Chern and Aeppli cohomologies of compact complex manifolds. Several results concerning the computations of Dolbeault and Bott-Chern cohomologies on nilmanifolds are summarized, allowing readers to study explicit examples. Manifolds endowed with almost-complex structures, or with other special structures (such as, for example, symplectic, generalized-complex, etc.), are also consideredDifferential equations, partialGlobal differential geometrySpringer eBooksPrinted edition:9783319024400http://link.springer.com/book/10.1007/978-3-319-02441-7An electronic book accessible through the World Wide.b1431625003-03-2207-02-17991003325579707536Cohomological aspects in complex non-Kähler geometry820739UNISALENTOle01307-02-17m@ -engsz 0003933nam 2200529 450 991082884510332120220818060412.00-8218-7934-00-8218-3441-X(CKB)3240000000069870(EBL)3113259(SSID)ssj0000629232(PQKBManifestationID)11441848(PQKBTitleCode)TC0000629232(PQKBWorkID)10717953(PQKB)10614361(MiAaPQ)EBC3113259(RPAM)13484779(PPN)197106714(EXLCZ)99324000000006987020040209h20042004 uy| 0engur|n|---|||||txtccrAlgebraic and arithmetic theory of quadratic forms proceedings of the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms, December 11-18, 2002, Universidad de Talca, Chile /Ricardo Baeza [and three others], editorsProvidence, Rhode Island :American Mathematical Society,[2004]©20041 online resource (364 p.)Contemporary mathematics ;344Description based upon print version of record.Includes bibliographical references.Contents -- Preface -- Conference Participants -- The Milnor Sequence For Wqf(X) In Characteristic 2 When F Is Perfect -- Spinor Norm For Local Skew-Hermitian Forms -- An Introduction To Triangular Witt Groups And A Survey Of Applications -- Regularity Properties Of Positive Definite Integral Quadratic Forms -- Effective Results On Representations Of Quadratic Forms -- Quaternary Quadratic Forms And Hilbert Modular Surfaces -- Real Semigroups And Abstract Real Spectra. I -- The Role Of Characteristic Vectors in the Neighbour Lattice Process -- 7.2 The Algebraic Closure Of The Base Field Inside The Function Field Of A P-Form -- 7.3 P-Splitting Of A P-Form Over The Function Field Of A P-Form -- 7.4 Isotropy Of P-Forms Over Function Fields Of P-Forms -- 7.5 Some Remarks On Height And Splitting Patterns Of P-Forms -- 7.6 Some Applications To Quasi-Pfister Neighbors -- 8. The Behaviour Of Differential Forms Under Function Field Extensions Of P-Forms -- Local Densities And The Representations Of An Integer By A Definite Quadratic Form -- Periodicity Of Hermitian K-Theory And Milnors K-Groups -- Third Proof Of Second Gap In Dimensions Of Quadratic Forms From In -- Recent Developments On Universal Forms -- Special Siegel Modular Forms And Singular Series Polynomials Of Quadratic Forms -- Quasi-Hyperbolicity Of Totally Singular Quadratic Forms -- Witt Kernels Of Triquadratic Extensions -- Anti-Automorphisms Of The Second Kind -- Reduction Modulo 2 And 3 Of Euclidean Lattices, Ii -- The Elementary Type Conjecture In Quadratic Form Theory -- 1. Quadratic Form Schemes -- 2. Quaternionic Mappings And Witt Rings -- 3. Elementary Constructions -- 4. Uniqueness Results And Counting -- 5. The Reduced Case -- 6. The Case Of Small Value Sets -- 7. The Case Of Few Quaternion Algebras -- 8. Quotients -- 9. Morphisms And Field Extensions -- 10. Connections To Galois Theory -- On Hilbert's Theorem About Ternary Quartics -- Representation By Integral Quadratic Forms: A Survey -- Representations By Spinor Genera Of Ternary Quadratic Forms -- A Survey And A Complement Of Fundamental Hermite Constants.Contemporary mathematics (American Mathematical Society) ;v. 344.Quadratic formsForms, QuadraticCongressesForms, Quadratic512.7/4Baeza Ricardo1942-MiAaPQMiAaPQMiAaPQBOOK9910828845103321Algebraic and arithmetic theory of quadratic forms670534UNINA