Hilbert's tenth problem: what was done and what is to be done / Yuri Matiyasevich -- http://www.ams.org/conm/270/'>http://www.ams.org/conm/270/'>http://www.ams.org/conm/270/'>http://www.ams.org/conm/270/'>http://www.ams.org/conm/270/'>http://www.ams.org/conm/270/'>http://www.ams.org/conm/270/'>http://www.ams.org/conm/270/'>http://www.ams.org/conm/270/'>http://www.ams.org/conm/270/'>http://www.ams.org/conm/270/'>http://www.ams.org/conm/270/'>http://www.ams.org/conm/270/'>http://www.ams.org/conm/270/'>http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04368 Undecidability of existential theories of rings and fields: a survey / Thanases Pheidas and Karim Zahidi -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04369 Hilbert's tenth problem over number fields, a survey / Alexandra Shlapentokh -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04370 Defining constant polynomials / Mihai Prunescu -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04371 Decidability and local-global principles / L. Darnière -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04372 Applications of local-global principles to arithmetic and geometry / Laurent Moret-Bailly -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04373 Regularly $T$-closed fields / Joachim Schmid -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04374 Skolem density problems over large Galois extensions of global fields / Moshe Jarden and Aharon Razon -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04375 An effort to prove that the existential theory of ${\bf Q}$ is undecidable / Thanases Pheidas -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04376 Topology of Diophantine sets: remarks on Mazur's conjectures / Gunther Cornelissen and Karim Zahidi -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04377 Diagonal quadratic forms and Hilbert's tenth problem / Paul Vojta -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04378 Algebraic geometry over four rings and the frontier to tractability / J. Maurice Rojas -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04379 Some model theory of compact complex spaces / Anand Pillay -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04380 Double coset decompositions for algebraic groups over $K[t]$ / K. H. Kim and F. W. Roush -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04381 Zero estimates for polynomials in 3 and 4 variables using orbits and stabilisers / Curtis D. Bennett, Lisa K. Elderbrock and Andrew M. W. Glass -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04382
