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An Arithmetic Riemann-Roch Theorem for Singular Arithmetic Surfaces
Language: en
Pages: 189
Authors: Wayne Aitken
Categories: Mathematics
Type: BOOK - Published: 1996 - Publisher: American Mathematical Soc.

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The following gives a development of Arakelov theory general enough to handle not only regular arithmetic surfaces but also a large class of arithmetic surfaces
Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127
Language: en
Pages: 118
Authors: Gerd Faltings
Categories: Mathematics
Type: BOOK - Published: 2016-03-02 - Publisher: Princeton University Press

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The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book i
Algebraic Curves and Riemann Surfaces
Language: en
Pages: 414
Authors: Rick Miranda
Categories: Mathematics
Type: BOOK - Published: 1995 - Publisher: American Mathematical Soc.

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In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical in
A Course in Complex Analysis and Riemann Surfaces
Language: en
Pages: 402
Authors: Wilhelm Schlag
Categories: Mathematics
Type: BOOK - Published: 2014-08-06 - Publisher: American Mathematical Society

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Complex analysis is a cornerstone of mathematics, making it an essential element of any area of study in graduate mathematics. Schlag's treatment of the subject
The Classification of Countable Homogeneous Directed Graphs and Countable Homogeneous $n$-tournaments
Language: en
Pages: 188
Authors: Gregory L. Cherlin
Categories: Mathematics
Type: BOOK - Published: 1998 - Publisher: American Mathematical Soc.

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In this book, Ramsey theoretic methods introduced by Lachlan are applied to classify the countable homogeneous directed graphs. This is an uncountable collectio