000			01982nmm a2200193Ia 4500
008			230306s9999||||xx |||||||||||||||||und||
020			_a9780821878606 (online)
245		0	_aHilbert's tenth problem : _brelations with arithmetic and algebraic geometry
260			_aProvidence, R.I. : _bAmerican Mathematical Society, _cc2000
300			_a1 online resource (xii, 367 p.)
490			_aContemporary mathematics _vv. 270 _x10983627
504			_aIncludes bibliographical references.
505			_tHilbert's tenth problem: what was done and what is to be done ; Undecidability of existential theories of rings and fields: a survey ; Hilbert's tenth problem over number fields, a survey ; Defining constant polynomials ; Decidability and localglobal principles ; Applications of localglobal principles to arithmetic and geometry ; Regularly _T _closed fields ; Skolem density problems over large Galois extensions of global fields ; An effort to prove that the existential theory of _\bf Q _ is undecidable ; Topology of Diophantine sets: remarks on Mazur's conjectures ; Diagonal quadratic forms and Hilbert's tenth problem ; Algebraic geometry over four rings and the frontier to tractability ; Some model theory of compact complex spaces ; Double coset decompositions for algebraic groups over _K[t] _ ; Zero estimates for polynomials in 3 and 4 variables using orbits and stabilisers _rYuri Matiyasevich ; Thanases Pheidas and Karim Zahidi ; Alexandra Shlapentokh ; Mihai Prunescu ; L Darniere ; Laurent MoretBailly ; Joachim Schmid ; Moshe Jarden and Aharon Razon ; Thanases Pheidas ; Gunther Cornelissen and Karim Zahidi ; Paul Vojta ; J Maurice Rojas ; Anand Pillay ; K H Kim and F W Roush ; Curtis D Bennett Lisa K Elderbrock and Andrew M W Glass
650			_aArithmetical algebraic geometry
650			_aGeometry, Algebraic
650			_aHilbert's tenth problem
700			_aDenef Jan
856			_uhttp://www.ams.org/conm/270/
999			_c28686 _d28686