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Hilbert's tenth problem : [electronic resource] relations with arithmetic and algebraic geometry / Jan Denef ... [et al.], editors.

Contributor(s): Denef, Jan, 1951-Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 270.Publication details: Providence, R.I. : American Mathematical Society, c2000Description: 1 online resource (xii, 367 p.)ISBN: 9780821878606 (online)Subject(s): Hilbert's tenth problem | Arithmetical algebraic geometry | Geometry, AlgebraicAdditional physical formats: Hilbert's tenth problem :DDC classification: 512/.7 LOC classification: QA242 | .H55 2000Online resources: Contents | Contents

Contents:

Hilbert's tenth problem: what was done and what is to be done / Yuri Matiyasevich -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04368 Undecidability of existential theories of rings and fields: a survey / Thanases Pheidas and Karim Zahidi -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04369 Hilbert's tenth problem over number fields, a survey / Alexandra Shlapentokh -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04370 Defining constant polynomials / Mihai Prunescu -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04371 Decidability and local-global principles / L. Darni�ere -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04372 Applications of local-global principles to arithmetic and geometry / Laurent Moret-Bailly -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04373 Regularly $T$-closed fields / Joachim Schmid -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04374 Skolem density problems over large Galois extensions of global fields / Moshe Jarden and Aharon Razon -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04375 An effort to prove that the existential theory of ${\bf Q}$ is undecidable / Thanases Pheidas -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04376 Topology of Diophantine sets: remarks on Mazur's conjectures / Gunther Cornelissen and Karim Zahidi -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04377 Diagonal quadratic forms and Hilbert's tenth problem / Paul Vojta -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04378 Algebraic geometry over four rings and the frontier to tractability / J. Maurice Rojas -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04379 Some model theory of compact complex spaces / Anand Pillay -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04380 Double coset decompositions for algebraic groups over $K[t]$ / K. H. Kim and F. W. Roush -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04381 Zero estimates for polynomials in 3 and 4 variables using orbits and stabilisers / Curtis D. Bennett, Lisa K. Elderbrock and Andrew M. W. Glass -- http://www.ams.org/conm/270/ http://dx.doi.org/10.1090/conm/270/04382

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Current library	Home library	Call number	Materials specified	URL	Status	Date due	Barcode
IMSc Library	IMSc Library			Link to resource	Available		EBK11551

Includes bibliographical references.

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. Darni�ere -- 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 and Aharon Razon -- An effort to prove that the existential theory of ${\bf Q}$ is undecidable / Thanases Pheidas -- Topology of Diophantine sets: remarks on Mazur's conjectures / Gunther Cornelissen 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 and 4 variables using orbits and stabilisers / Curtis D. Bennett, Lisa K. Elderbrock and Andrew M. W. Glass --