03610nam 2200565 450 991048016530332120170821165751.00-8218-8172-80-8218-4648-5(CKB)3240000000070017(EBL)3113173(SSID)ssj0000629410(PQKBManifestationID)11441101(PQKBTitleCode)TC0000629410(PQKBWorkID)10718804(PQKB)10024096(MiAaPQ)EBC3113173(PPN)197108202(EXLCZ)99324000000007001720090312h20092009 uy| 0engur|n|---|||||txtccrQuadratic forms algebra, arithmetic, and geometry /Ricardo Baeza [and three others], editorsProvidence, Rhode Island :American Mathematical Society,[2009]©20091 online resource (424 p.)Contemporary mathematics ;493"Algebraic and Arithmetic Theory of Quadratic Forms, December 13-19, 2007, Frutillar, Chile.""This volume presents a collection of articles that are based on talks delivered at the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms held in Frutillar, Chile in December 2007"--P. [4] of cover.Includes bibliographical references.""Contents""; ""Preface""; ""List of Participants""; ""H1(X, Î?) of conics and Witt kernels in characteristic 2""; ""Pythagoras numbers and quadratic field extensions""; ""On perfection relations in lattices""; ""Linear independence of local densities of quadratic forms and its application to the theory of Siegel modular forms""; ""Representation of reduced special groups in algebras of continous functions""; ""Solubility of Fermat equations""; ""Multiplicative properties of integral binary quadratic forms""; ""Effective structure theorems for symplectic spaces via height""""Orthogonal involutions on algebras of degree 16 and the Killing form of E8 (with an appendix by Kirill Zainoulline)""""The first Zariski cohomology group of the Witt sheaf over a split simply connected simple algebraic group""; ""On families of testing formulae for a pp formula""; ""Siegel modular forms of small weight and the Witt operator""; ""On isotropy of quadratic pairs""; ""Specialization of forms in the presence of characteristic 2: first steps""; ""Representation of integers by special positive definite integral quadratic forms""""Hyper-isotropy of bilinear forms in characteristic 2""""A historical view of the Pythagoras numbers of fields""; ""The extensions of R-places and application""; ""Essential dimension""; ""On the Pfister number of quadratic forms""; ""Martin Kneserâ€?s work on quadratic forms and algebraic groups""; ""Enumerating perfect forms""; ""Reduction mod l of Theta Series of Level ln""; ""On a reciprocity theorem of Gauss""; ""A bound of the number of reduced Arakelov divisors of a number field""Contemporary mathematics (American Mathematical Society) ;493.Forms, QuadraticCongressesElectronic books.Forms, Quadratic512.7/4Baeza Ricardo1942-International Conference on the Algebraic and Arithmetic Theory of Quadratic FormsMiAaPQMiAaPQMiAaPQBOOK9910480165303321Quadratic forms1975662UNINA