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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 others], editors.
Math/Physics/Astronomy Library QA242 .H55 2000
Available
- Format:
- Book
- Series:
- Contemporary mathematics (American Mathematical Society) ; v. 270.
- Contemporary mathematics, 0271-4132 ; 270
- Language:
- English
- Subjects (All):
- Hilbert's tenth problem.
- Arithmetical algebraic geometry.
- Geometry, Algebraic.
- Genre:
- Conference papers and proceedings.
- Physical Description:
- xii, 367 pages : illustrations ; 26 cm.
- Place of Publication:
- Providence, R.I. : American Mathematical Society, [2000]
- Contents:
- Hilbert's tenth problem: What was done and what is to be done / Yuri Matiyasevich 1
- Undecidability of existential theories of rings and fields: A survey / Thanases Pheidas, Karim Zahidi 49
- Hilbert's tenth problem over number fields, a survey / Alexandra Shlapentokh 107
- Defining constant polynomials / Mihai Prunescu 139
- Decidability and local-global principles / L. Darniere 145
- Applications of local-global principles to arithmetic and geometry / Laurent Moret-Bailly 169
- Regularly T-closed fields / Joachim Schmid 187
- Skolem density problems over large Galois extensions of global fields / Moshe Jarden, Aharon Razon, an Appendix by Wulf-Dieter Geyer 213
- An effort to prove that the existential theory of Q is undecidable / Thanases Pheidas 237
- Topology of diophantine sets: Remarks on Mazur's conjectures / Gunther Cornelissen, Karim Zahidi 253
- Diagonal quadratic forms and Hilbert's tenth problem / Paul Vojta 261
- Algebraic geometry over four rings and the frontier to tractability / J. Maurice Rojas 275
- Some model theory of compact complex spaces / Anand Pillay 323
- Double coset decompositions for algebraic groups over K[t] / K. H. Kim, F. W. Roush 339
- Zero estimates for polynomials in 3 and 4 variables using orbits and stabilisers / Curtis D. Bennett, Lisa K. Elderbrock, Andrew M. W. Glass 357.
- Notes:
- Includes bibliographical references.
- ISBN:
- 0821826220
- OCLC:
- 45270414
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