TY - DATA AU - Denef Jan TI - Hilbert's tenth problem: relations with arithmetic and algebraic geometry T2 - Contemporary mathematics SN - 9780821878606 (online) PY - 2000/// CY - Providence, R.I. PB - American Mathematical Society KW - Arithmetical algebraic geometry KW - Geometry, Algebraic KW - Hilbert's tenth problem N1 - Includes bibliographical references; Hilbert'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; Yuri 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 UR - http://www.ams.org/conm/270/ ER -