Item Details

Hilbert's Tenth Problem: Relations With Arithmetic and Algebraic Geometry ; Workshop on Hilbert's Tenth Problem, Relations With Arithmetic and Algebraic Geometry, Ghent University, Belgium, November 2-5, 1999

Jan Denef ... [et al.], editors
Format
Book
Published
Providence, R.I. : American Mathematical Society, c2000.
Language
English
Series
Contemporary Mathematics
Contemporary Mathematics (American Mathematical Society)
ISBN
0821826220 (pbk. : alk. paper)
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.
Description
xii, 367 p. ; 26 cm.
Notes
Includes bibliographical references.
Local Notes
VIVA Repository Copy 2014.
Series Statement
Contemporary mathematics, 0271-4132 ; 270
Contemporary mathematics (American Mathematical Society) v. 270
Technical Details
  • Access in Virgo Classic

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    a| Hilbert's tenth problem : b| relations with arithmetic and algebraic geometry ; Workshop on Hilbert's tenth problem, relations with arithmetic and algebraic geometry, Ghent University, Belgium, November 2-5, 1999 / c| Jan Denef ... [et al.], editors.
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    a| Providence, R.I. : b| American Mathematical Society, c| c2000.
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    t| Hilbert's tenth problem: What was done and what is to be done / r| Yuri Matiyasevich g| 1 -- t| Undecidability of existential theories of rings and fields: A survey / r| Thanases Pheidas, Karim Zahidi g| 49 -- t| Hilbert's tenth problem over number fields, a survey / r| Alexandra Shlapentokh g| 107 -- t| Defining constant polynomials / r| Mihai Prunescu g| 139 -- t| Decidability and local-global principles / r| L. Darniere g| 145 -- t| Applications of local-global principles to arithmetic and geometry / r| Laurent Moret-Bailly g| 169 -- t| Regularly T-closed fields / r| Joachim Schmid g| 187 -- t| Skolem density problems over large Galois extensions of global fields / r| Moshe Jarden, Aharon Razon, an Appendix by Wulf-Dieter Geyer g| 213 -- t| An effort to prove that the existential theory of Q is undecidable / r| Thanases Pheidas g| 237 -- t| Topology of diophantine sets: Remarks on Mazur's conjectures / r| Gunther Cornelissen, Karim Zahidi g| 253 -- t| Diagonal quadratic forms and Hilbert's tenth problem / r| Paul Vojta g| 261 -- t| Algebraic geometry over four rings and the frontier to tractability / r| J. Maurice Rojas g| 275 -- t| Some model theory of compact complex spaces / r| Anand Pillay g| 323 -- t| Double coset decompositions for algebraic groups over K[t] / r| K. H. Kim, F. W. Roush g| 339 -- t| Zero estimates for polynomials in 3 and 4 variables using orbits and stabilisers / r| Curtis D. Bennett, Lisa K. Elderbrock, Andrew M. W. Glass g| 357.
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    a| Arithmetical algebraic geometry.
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    a| QA242 .H55 2000 w| LC i| X004516348 l| STACKS m| MATH t| BOOK

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