Jan-Hendrik Evertse, Kalman Gyory

Effective Results and Methods for Diophantine Equations over Finitely Generated Domains (eBook, PDF)

• Format: PDF

Produktbeschreibung

Provides exceptional coverage of effective solutions for Diophantine equations over finitely generated domains.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 28. April 2022
• Englisch
• ISBN-13: 9781009050036
• Artikelnr.: 70908662

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.