Quantitative Arithmetic of Projective Varieties

Quantitative Arithmetic of Projective Varieties PDF Author: Timothy D. Browning
Publisher: Birkhäuser
ISBN: 9783034601283
Category : Mathematics
Languages : en
Pages : 160

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Book Description
This book examines the range of available tools from analytic number theory that can be applied to study the density of rational points on projective varieties.

Quantitative Arithmetic of Projective Varieties

Quantitative Arithmetic of Projective Varieties PDF Author: Timothy D. Browning
Publisher: Birkhäuser
ISBN: 9783034601283
Category : Mathematics
Languages : en
Pages : 160

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Book Description
This book examines the range of available tools from analytic number theory that can be applied to study the density of rational points on projective varieties.

Quantitative Arithmetic of Projective Varieties

Quantitative Arithmetic of Projective Varieties PDF Author: Timothy D. Browning
Publisher: Springer Science & Business Media
ISBN: 3034601298
Category : Mathematics
Languages : en
Pages : 168

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Book Description
This book examines the range of available tools from analytic number theory that can be applied to study the density of rational points on projective varieties.

Arithmetic Properties of Projective Varieties of Almost Minimal Degree

Arithmetic Properties of Projective Varieties of Almost Minimal Degree PDF Author: Markus Brodmann
Publisher:
ISBN:
Category :
Languages : en
Pages : 41

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Book Description


Women in Numbers Europe IV

Women in Numbers Europe IV PDF Author: Ramla Abdellatif
Publisher: Springer Nature
ISBN: 3031521633
Category :
Languages : en
Pages : 378

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Book Description


Zeta Functions in Algebra and Geometry

Zeta Functions in Algebra and Geometry PDF Author: Antonio Campillo
Publisher: American Mathematical Soc.
ISBN: 0821869000
Category : Mathematics
Languages : en
Pages : 362

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Book Description
Contains the proceedings of the Second International Workshop on Zeta Functions in Algebra and Geometry held May 3-7, 2010 at the Universitat de les Illes Balears, Palma de Mallorca, Spain. The conference focused on the following topics: arithmetic and geometric aspects of local, topological, and motivic zeta functions, Poincare series of valuations, zeta functions of groups, rings, and representations, prehomogeneous vector spaces and their zeta functions, and height zeta functions.

Algebraic Geometry: Salt Lake City 2015

Algebraic Geometry: Salt Lake City 2015 PDF Author: Richard Thomas
Publisher: American Mathematical Soc.
ISBN: 1470435780
Category : Mathematics
Languages : en
Pages : 658

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Book Description
This is Part 2 of a two-volume set. Since Oscar Zariski organized a meeting in 1954, there has been a major algebraic geometry meeting every decade: Woods Hole (1964), Arcata (1974), Bowdoin (1985), Santa Cruz (1995), and Seattle (2005). The American Mathematical Society has supported these summer institutes for over 50 years. Their proceedings volumes have been extremely influential, summarizing the state of algebraic geometry at the time and pointing to future developments. The most recent Summer Institute in Algebraic Geometry was held July 2015 at the University of Utah in Salt Lake City, sponsored by the AMS with the collaboration of the Clay Mathematics Institute. This volume includes surveys growing out of plenary lectures and seminar talks during the meeting. Some present a broad overview of their topics, while others develop a distinctive perspective on an emerging topic. Topics span both complex algebraic geometry and arithmetic questions, specifically, analytic techniques, enumerative geometry, moduli theory, derived categories, birational geometry, tropical geometry, Diophantine questions, geometric representation theory, characteristic and -adic tools, etc. The resulting articles will be important references in these areas for years to come.

Cox Rings

Cox Rings PDF Author: Ivan Arzhantsev
Publisher: Cambridge University Press
ISBN: 1107024625
Category : Mathematics
Languages : en
Pages : 539

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Book Description
This book provides a largely self-contained introduction to Cox rings and their applications in algebraic and arithmetic geometry.

Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures

Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures PDF Author: Rajendra Bhatia
Publisher: World Scientific
ISBN: 9814462934
Category : Mathematics
Languages : en
Pages : 4137

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Book Description
ICM 2010 proceedings comprises a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. The first volume will also contain the speeches at the opening and closing ceremonies and other highlights of the Congress.

Proceedings of the International Congress of Mathematicians 2010 (icm 2010) (in 4 Volumes) - Vol. I: Plenary Lectures and Ceremonies, Vols. Ii-iv: Invited Lectures

Proceedings of the International Congress of Mathematicians 2010 (icm 2010) (in 4 Volumes) - Vol. I: Plenary Lectures and Ceremonies, Vols. Ii-iv: Invited Lectures PDF Author:
Publisher: World Scientific
ISBN: 9814324353
Category :
Languages : en
Pages : 814

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Book Description


A Course in Analytic Number Theory

A Course in Analytic Number Theory PDF Author: Marius Overholt
Publisher: American Mathematical Soc.
ISBN: 1470417065
Category : Mathematics
Languages : en
Pages : 394

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Book Description
This book is an introduction to analytic number theory suitable for beginning graduate students. It covers everything one expects in a first course in this field, such as growth of arithmetic functions, existence of primes in arithmetic progressions, and the Prime Number Theorem. But it also covers more challenging topics that might be used in a second course, such as the Siegel-Walfisz theorem, functional equations of L-functions, and the explicit formula of von Mangoldt. For students with an interest in Diophantine analysis, there is a chapter on the Circle Method and Waring's Problem. Those with an interest in algebraic number theory may find the chapter on the analytic theory of number fields of interest, with proofs of the Dirichlet unit theorem, the analytic class number formula, the functional equation of the Dedekind zeta function, and the Prime Ideal Theorem. The exposition is both clear and precise, reflecting careful attention to the needs of the reader. The text includes extensive historical notes, which occur at the ends of the chapters. The exercises range from introductory problems and standard problems in analytic number theory to interesting original problems that will challenge the reader. The author has made an effort to provide clear explanations for the techniques of analysis used. No background in analysis beyond rigorous calculus and a first course in complex function theory is assumed.