The Mordell conjecture: a complete proof from diophantine geometry
"The Mordell conjecture (Faltings's theorem) is one of the most important achievements in Diophantine geometry, stating that an algebraic curve of genus at least two has only finitely many rational points. This book provides a self-contained and detailed proof of the Mordell conjecture following the papers of Bombieri and Vojta. Also acting as a concise introduction to Diophantine geometry, the text starts from basics of algebraic number theory, touches on several important theorems and techniq…
Read More ↓Title Statements
- Full title :The Mordell conjecture : a complete proof from diophantine geometry / Hideaki Ikoma, Shu Kawaguchi, Atsushi Moriwaki
Summary
"The Mordell conjecture (Faltings's theorem) is one of the most important achievements in Diophantine geometry, stating that an algebraic curve of genus at least two has only finitely many rational points. This book provides a self-contained and detailed proof of the Mordell conjecture following the papers of Bombieri and Vojta. Also acting as a concise introduction to Diophantine geometry, the text starts from basics of algebraic number theory, touches on several important theorems and techniques (including the theory of heights, the Mordell- Weil theorem, Siegel's lemma and Roth's lemma) from Diophantine geometry, and culminates in the proof of the Mordell conjecture. Based on the authors' own teaching experience, it will be of great value to advanced undergraduate and graduate students in algebraic geometry and number theory, as well as researchers interested in Diophantine geometry as a whole".
Read More ↓Edition Statements
- Publication Date:2022
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge [etc.]
- Language:eng
- Publication Date:2022
The Physical Object
- Description:vii, 169 p. ; : 24 cm
Edition Identifiers
- ISBN:9781108845953, 1108845959
- oclc:on1331544709
- Dewey Decimal:516.352
Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Chinese remainder theorem: applications in computing, coding, cryp…
Ding, C., (Cunsheng)
Graph partitioning
Files & Downloads
-
The Mordell Conjecture: A Complete Proof from Dio…
PDF · 1.3 MB · updated -
The Mordell Conjecture: A Complete Proof from Dio…
PDF · 3.1 MB · updated
Rate & Review