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[null,"1.","Record Nr.",null,"UNINA9910825811003321"]
[null,null,"Titolo",null,"Hilbert's tenth problem : relations with arithmetic and algebraic geometry : Workshop on Hilbert's Tenth Problem: Relations with Arithmetic and Algebraic Geometry, November 2-5, 1999, Ghent University, Belgium / / Jan Denef [and three others], editors"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , [2000]"]
[{"$nulls":4},"©2000"]
[null,null,"ISBN",null,"0-8218-7860-3"]
[{"$nulls":4},"0-8218-5606-5"]
[null,null,"Descrizione fisica",null,"1 online resource (384 p.)"]
[null,null,"Collana",null,"Contemporary mathematics, , 0271-4132 ; ; 270"]
[null,null,"Disciplina",null,"512/.7"]
[null,null,"Soggetti",null,"Hilbert's tenth problem"]
[{"$nulls":4},"Arithmetical algebraic geometry"]
[{"$nulls":4},"Geometry, Algebraic"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Introduction\"\"; \"\"List of Participants\"\"; \"\"Hilbert's tenth problem: What was done and what is to be done\"\"; \"\"Undecidability of existential theories of rings and fields: A survey\"\"; \"\"1. Introduction\"\"; \"\"2. The existential theory of rational function fields\"\"; \"\"3. The existential theory of algebraic function fields\"\"; \"\"4. A geometric analogue of Hilbert's Tenth Problem\"\"; \"\"5. Decision problems concerning rings of analytic functions: introduction\"\"; \"\"6. First-order theories of rings of analytic functions\"\""]
[{"$nulls":4},"\"\"7. Existential decidability and the Approximation Property for rings of analytic functions\"\"\"\"8. Existential undecidability for rings of analytic functions\"\"; \"\"9. Polynomial rings and p-adic entire functions\"\"; \"\"10. Existential theories of fields of meromorphic functions\"\"; \"\"11. Variations: Languages with predicates for symmetric functions\"\"; \"\"Appendix A. Elliptic curves: Basic Definitions\"\"; \"\"Appendix B. Elliptic curves over function fields\"\"; \"\"Appendix C. Pell equations\"\"; \"\"References\"\"; \"\"Hilbert's tenth problem over number fields, a survey\"\"; \"\"Defining constant polynomials\"\""]
[{"$nulls":4},"\"\"Decidability and local-global principles\"\"\"\"Applications of local-global principles to arithmetic and geometry\"\"; \"\"Regularly T-closed fields\"\"; \"\"Skolem density problems over large Galois extensions of global "]
[{"$nulls":4},"fields\"\"; \"\"An effort to prove that the existential theory of Q is undecidable\"\"; \"\"Topology of diophantine sets: Remarks on Mazur's conjectures\"\"; \"\"Diagonal quadratic forms and Hilbert's tenth problem\"\"; \"\"Algebraic geometry over four rings and the frontier to tractability\"\"; \"\"1. Introduction\"\"; \"\"2. Computing Complex Dimension Faster\"\""]
[{"$nulls":4},"\"\"3. Polytope Volumes and Counting Pieces of Semi-Algebraic Sets\"\"\"\"4. The Generalized Riemann Hypothesis and Detecting Rational Points\"\"; \"\"5. Effective Siegel Versus Detecting Integral Points on Surfaces\"\"; \"\"6. Proofs of Our Main Technical Results\"\"; \"\"7. Acknowledgements\"\"; \"\"Appendix: How the Examples Were Computed\"\"; \"\"References\"\"; \"\"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\"\""]