0845 474 4572
info@eurospanbookstore.com

Temporarily out of stock: usually despatched in 10-14 days

# Hilbert's Tenth Problem

### Relations with Arithmetic and Algebraic Geometry

ISBN: 9780821826225

Publication Date: Dec 2000

Format: Paperback

Discusses the relations between Hilbert's tenth problem, arithmetic, and algebraic geometry. This book addresses such areas as Hilbert's tenth problem for various rings and fields, and model theory and local-global principles. It is suitable for courses on logic, algebraic geometry, and number theory.
£100.00

Temporarily out of stock: usually despatched in 10-14 days

• Full Description
Hilbert's tenth problem: What was done and what is to be done by Y. Matiyasevich Undecidability of existential theories of rings and fields: A survey by T. Pheidas and K. Zahidi Hilbert's tenth problem over number fields, a survey by A. Shlapentokh Defining constant polynomials by M. Prunescu Decidability and local-global principles by L. Darniere Applications of local-global principles to arithmetic and geometry by L. Moret-Bailly Regularly $T$-closed fields by J. Schmid Skolem density problems over large Galois extensions of global fields by M. Jarden, A. Razon, and W.-D. Geyer An effort to prove that the existential theory of $\mathbf Q$ is undecidable by T. Pheidas Topology of Diophantine sets: Remarks on Mazur's conjectures by G. Cornelissen and K. Zahidi Diagonal quadratic forms and Hilbert's tenth problem by P. Vojta Algebraic geometry over four rings and the frontier to tractability by J. M. Rojas Some model theory of compact complex spaces by A. Pillay Double coset decompositions for algebraic groups over $K[t]$ by K. H. Kim and F. W. Roush Zero estimates for polynomials in 3 and 4 variables using orbits and stabilisers by C. D. Bennett, L. K. Elderbrock, and A. M. W. Glass.