Atsushi Moriwaki – författare
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10 produkter
The Mordell Conjecture
A Complete Proof from Diophantine Geometry
Av Hideaki Ikoma, Shu Kawaguchi m. fl.
Inbunden, 2022
1139 kr
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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 …
Arakelov Geometry
Inbunden, 2014
1974 kr
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The main goal of this book is to present the so-called birational Arakelov geometry, which can be viewed as an arithmetic analog of the classical birational geometry, i.e., the study of big linear series on algebraic varieties. After explaining classical results about the geometry of numbers, the …
Positivity in Arakelov Geometry over Adelic Curves
Hilbert-Samuel Formula and Equidistribution Theorem
Av Huayi Chen, Atsushi Moriwaki
Inbunden, 2024
1728 kr
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This monograph presents new research on Arakelov geometry over adelic curves, a novel theory of arithmetic geometry developed by the authors. It explores positivity conditions and establishes the Hilbert-Samuel formula and the equidistribution theorem in the context of adelic curves. Connections …
Positivity in Arakelov Geometry over Adelic Curves
Hilbert-Samuel Formula and Equidistribution Theorem
Av Atsushi Moriwaki, Huayi Chen
E-bok, 2024
1913 kr
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This monograph presents new research on Arakelov geometry over adelic curves, a novel theory of arithmetic geometry developed by the authors. It explores positivity conditions and establishes the Hilbert-Samuel formula and the equidistribution theorem in the context of adelic curves. Connections …
Positivity in Arakelov Geometry over Adelic Curves
Hilbert-Samuel Formula and Equidistribution Theorem
Av Huayi Chen, Atsushi Moriwaki
Häftad, 2025
1530 kr
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This monograph presents new research on Arakelov geometry over adelic curves, a novel theory of arithmetic geometry developed by the authors. It explores positivity conditions and establishes the Hilbert-Samuel formula and the equidistribution theorem in the context of adelic curves. Connections …
Arakelov Geometry over Adelic Curves
Av Huayi Chen, Atsushi Moriwaki
Häftad, 2020
605 kr
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The purpose of this book is to build the fundament of an Arakelov theory over adelic curves in order to provide a unified framework for research on arithmetic geometry in several directions. By adelic curve is meant a field equipped with a family of absolute values parametrized by a measure space, …
Arakelov Geometry over Adelic Curves
Av Atsushi Moriwaki, Huayi Chen
E-bok, 2020
797 kr
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The purpose of this book is to build the fundament of an Arakelov theory over adelic curves in order to provide a unified framework for research on arithmetic geometry in several directions. By adelic curve is meant a field equipped with a family of absolute values parametrized by a measure space, …
Development of Moduli Theory - Kyoto 2013
Av FUJINO OSAMU, Osamu Fujino m. fl.
Inbunden, 2016
1887 kr
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This volume contains the proceedings of the 6th Mathematical Society of Japan Seasonal Institute—Development of Moduli Theory, which was held as the Seasonal Institute 2013, with support from the Mathematical Society of Japan and the 2013 Research Project of the Research Institute of Mathematical …
MODULI SPACES AND ARITHMETIC GEOMETRY
Av MUKAI SHIGERU, Shigeru Mukai m. fl.
Inbunden, 2007
1556 kr
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Since its birth algebraic geometry has been closely related to and deeply motivated by number theory. Particularly the modern study of moduli spaces and arithmetic geometry have many important techniques and ideas in common. With this close relation in mind, the RIMS conference Moduli Spaces and …
ALGEBRAIC GEOMETRY IN EAST ASIA, PROCEEDINGS OF THE SYMPOSIUM
Av OHBUCHI AKIRA, Akira Ohbuchi m. fl.
Inbunden, 2003
2643 kr
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This book is the proceedings of the conference “Algebraic Geometry in East Asia” which was held in International Institute for Advanced Studies (IIAS) during August 3 to August 10, 2001.As the breadth of the topics covered in this proceedings demonstrate, the conference was indeed successful in …
