Generalizing the classical theorems of Max Noether and Petri, we describe generators and relations for the canonical ring of a stacky curve, including an explicit Grobner basis. We work in a general algebro-geometric context and treat log canonical...Lasīt vairāk
(Izdošanas datums: 09-Jun-2022, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9781009170321)
Written by an expert in the field, this book is intended for postgraduate students and researchers in number theory and model theory who want to become familiar with point-counting techniques and their application to the AndréOort and ZilberPink con...Lasīt vairāk
After a remembrance of Momose and an overview of his mathematical work, 11 papers explore the arithmetic of modular curves and abelian varieties, along with related areas of mathematics that interested him. Among the topics are quadratic points o...Lasīt vairāk
Editors A. C. Cojocaru, C. David, and F. Pappalardi present readers with a text highlighting presentations at a conference given in honor of the sixtieth birthday of mathematician M. Ram Murty in Montral, Canada in October of 2013. The selections...Lasīt vairāk
Presents in full detail the proof of Fermats Last Theorem given by Wiles and Taylor. With these two books, the reader will be able to see the whole picture of the proof to appreciate one of the greatest achievements in the history of mathematics. C...Lasīt vairāk
These notes introduce a new class of algebraic curves on Hilbert modular surfaces. These curves are called twisted Teichmüller curves, because their construction is very reminiscent of Hirzebruch-Zagier cycles. These new objects are analyzed in...Lasīt vairāk
In the margins of a book, Pierre de Fermat (1601-65) claimed that he had a mathematical proof that was too large to fit the margin, but it was not until 1994 that other mathematicians proved what had become known as Fermats Last Theorem. Saito (math...Lasīt vairāk
(Izdošanas datums: 29-Dec-2011, Hardback, Izdevniecība: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814368643)
Hida (University of California, Los Angeles) has arranged material in five chapters covering an algebra-geometric tool box, elliptic curves, geometric modular forms, Jacobians and Galois representations, and modularity problems. New in this second ed...Lasīt vairāk
The text grew out of lecture notes for a course Lozano-Robledo taught at an undergraduate summer school as part of the 2009 Park City Mathematics Institute. It is an introductory survey of the theory of elliptic curves, modular forms, and their Lfunc...Lasīt vairāk
This book surveys some recent developments in the arithmetic of modular elliptic curves. It places special emphasis on the construction of rational points on elliptic curves, the Birch and Swinnerton-Dyer conjecture, and the crucial role played by mo...Lasīt vairāk
(Izdošanas datums: 14-Jan-2000, Hardback, Izdevniecība: Springer-Verlag New York Inc., ISBN-13: 9780387946092)
This volume contains the expanded lectures given at a conference on number theory and arithmetic geometry held at Boston University. It introduces and explains the many ideas and techniques used by Wiles, and to explain how his result can be combined...Lasīt vairāk
