Hilbert's tenth problem: relations with arithmetic and algebraic geometry

by Denef, Jan

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Title Statements

Full title :Hilbert's tenth problem : relations with arithmetic and algebraic geometry / Jan Denef [and others], editors.

Edition Statements

Publication Date:©2000.

Publication Statements

Publisher(s):American mathematical Society
Place of Publication:Providence, R.I
Language:eng
Publication Date:©2000.

The Physical Object

Description:xii, 367 pages ; : 26 cm.

Edition Identifiers

ISBN:0821826220, 9780821826225
oclc:ocm45270414
LC Classification:QA242
Dewey Decimal:512/.7

Hilbert's tenth problem : what was done and what is to be done / Yuri Matiyasevich -- Undecidability of existential theories of rings and fields : a survey / Thanases Pheidas and Karim Zahidi -- Hilbert's tenth problem over number fields, a survey / Alexandra Shlapentokh -- Defining constant polynomials / Mihai Prunescu -- Decidability and local-global principles / L. Darnière -- Applications of local-global principles to arithmetic and geometry / Laurent Moret-Bailly -- Regularly T-closed fields / Joachim Schmid -- Skolem density problems over large Galois extensions of global fields / Moshe Jarden, Aharon Razon with an appendix by Wulf-Dieter Geyer -- An effort to prove that the existential theory of Q is undecidable / Thanases Pheidas -- Topology of diophantine sets : remarks on Mazur's conjectures / Gunther Cornelisson and Karim Zahidi -- Diagonal quadratic forms and Hilbert's tenth problem / Paul Vojta -- Algebraic geometry over four rings and the frontier to tractability / J. Maurice Rojas -- Some model theory of compact complex spaces / Anand Pillay -- Double coset decompositions for algebraic groups over K[t] / K.H. Kim and F.W. Roush -- Zero estimates for polynomials in 3…

Subjects

Arithmetical algebraic geometry Dixième problème de Hilbert Geometria algebrica Géométrie algébrique Géométrie algébrique arithmétique Geometry, Algebraic Hilbert's tenth problem Lógica matemática Matematică