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A Tropical Approach to the Brill-Noether Theory Over Hurwitz Spaces

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Release : 2021
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Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis A Tropical Approach to the Brill-Noether Theory Over Hurwitz Spaces by : Kaelin Cook-Powell

Download or read book A Tropical Approach to the Brill-Noether Theory Over Hurwitz Spaces written by Kaelin Cook-Powell. This book was released on 2021. Available in PDF, EPUB and Kindle. Book excerpt:

A Celebration of Algebraic Geometry

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Release : 2013-09-11
Genre : Mathematics
Kind : eBook
Book Rating : 834/5 ( reviews)

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Book Synopsis A Celebration of Algebraic Geometry by : Brendan Hassett

Download or read book A Celebration of Algebraic Geometry written by Brendan Hassett. This book was released on 2013-09-11. Available in PDF, EPUB and Kindle. Book excerpt: This volume resulted from the conference A Celebration of Algebraic Geometry, which was held at Harvard University from August 25-28, 2011, in honor of Joe Harris' 60th birthday. Harris is famous around the world for his lively textbooks and enthusiastic teaching, as well as for his seminal research contributions. The articles are written in this spirit: clear, original, engaging, enlivened by examples, and accessible to young mathematicians. The articles in this volume focus on the moduli space of curves and more general varieties, commutative algebra, invariant theory, enumerative geometry both classical and modern, rationally connected and Fano varieties, Hodge theory and abelian varieties, and Calabi-Yau and hyperkähler manifolds. Taken together, they present a comprehensive view of the long frontier of current knowledge in algebraic geometry. Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).

Combinatorial Algebraic Geometry

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Release : 2017-11-17
Genre : Mathematics
Kind : eBook
Book Rating : 866/5 ( reviews)

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Book Synopsis Combinatorial Algebraic Geometry by : Gregory G. Smith

Download or read book Combinatorial Algebraic Geometry written by Gregory G. Smith. This book was released on 2017-11-17. Available in PDF, EPUB and Kindle. Book excerpt: This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016. Written primarily by junior mathematicians, the articles cover a range of topics in combinatorial algebraic geometry including curves, surfaces, Grassmannians, convexity, abelian varieties, and moduli spaces. This book bridges the gap between graduate courses and cutting-edge research by connecting historical sources, computation, explicit examples, and new results.

The Mathematics of Chip-Firing

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Release : 2018-11-15
Genre : Computers
Kind : eBook
Book Rating : 99X/5 ( reviews)

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Book Synopsis The Mathematics of Chip-Firing by : Caroline J. Klivans

Download or read book The Mathematics of Chip-Firing written by Caroline J. Klivans. This book was released on 2018-11-15. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of Chip-firing is a solid introduction and overview of the growing field of chip-firing. It offers an appreciation for the richness and diversity of the subject. Chip-firing refers to a discrete dynamical system — a commodity is exchanged between sites of a network according to very simple local rules. Although governed by local rules, the long-term global behavior of the system reveals fascinating properties. The Fundamental properties of chip-firing are covered from a variety of perspectives. This gives the reader both a broad context of the field and concrete entry points from different backgrounds. Broken into two sections, the first examines the fundamentals of chip-firing, while the second half presents more general frameworks for chip-firing. Instructors and students will discover that this book provides a comprehensive background to approaching original sources. Features: Provides a broad introduction for researchers interested in the subject of chip-firing The text includes historical and current perspectives Exercises included at the end of each chapter About the Author: Caroline J. Klivans received a BA degree in mathematics from Cornell University and a PhD in applied mathematics from MIT. Currently, she is an Associate Professor in the Division of Applied Mathematics at Brown University. She is also an Associate Director of ICERM (Institute for Computational and Experimental Research in Mathematics). Before coming to Brown she held positions at MSRI, Cornell and the University of Chicago. Her research is in algebraic, geometric and topological combinatorics.

Principles of Algebraic Geometry

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Release : 2014-08-21
Genre : Mathematics
Kind : eBook
Book Rating : 32X/5 ( reviews)

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Book Synopsis Principles of Algebraic Geometry by : Phillip Griffiths

Download or read book Principles of Algebraic Geometry written by Phillip Griffiths. This book was released on 2014-08-21. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the quadric line complex as well as special topics in complex manifolds.

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