Jan-Hendrik Evertse (Universiteit Leiden), Kalman Gyory (Hungary Debreceni Egyetem)

Effective Results and Methods for Diophantine Equations over Finitely Generated Domains

• Broschiertes Buch

Produktbeschreibung

This book provides a comprehensive guide to Diophantine equations over finitely generated domains, with a focus on proving effective finiteness results. No specialized knowledge is required, enabling graduate students and experts alike to learn the necessary techniques and apply them in their own research.

---

Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• London Mathematical Society Lecture Note Series
• Verlag: Cambridge University Press
• Seitenzahl: 240
• Erscheinungstermin: 28. April 2022
• Englisch
• Abmessung: 153mm x 229mm x 18mm
• Gewicht: 376g
• ISBN-13: 9781009005852
• ISBN-10: 1009005855
• Artikelnr.: 63201328

Autorenporträt

Jan-Hendrik Evertse is Associate Professor in Number Theory at Leiden University in the Netherlands. He co-edited the lecture notes in mathematics Diophantine Approximation and Abelian Varieties (1993) with Bas Edixhoven, and co-authored two books with Kálmán Gy¿ry: Unit Equations in Diophantine Number Theory (Cambridge, 2016) and Discriminant Equations in Diophantine Number Theory (Cambridge, 2016).

Inhaltsangabe

Preface
Glossary of frequently used notation
History and summary
1. Ineffective results for Diophantine equations over finitely generated domains
2. Effective results for Diophantine equations over finitely generated domains: the statements
3. A brief explanation of our effective methods over finitely generated domains
4. Effective results over number fields
5. Effective results over function fields
6. Tools from effective commutative algebra
7. The effective specialization method
8. Degree-height estimates
9. Proofs of the results from Sections 2.2-2.5-use of specializations
10. Proofs of the results from Sections 2.6-2.8-reduction to unit equations
References
Index.