Cremona Groups And The Icosahedron

Author : Ivan Cheltsov
Publisher : CRC Press
ISBN 13 : 1482251604
Total Pages : 521 pages
Book Rating : 4.09/5 ( download)

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Download or read book Cremona Groups and the Icosahedron written by Ivan Cheltsov and published by CRC Press. This book was released on 2015-08-21 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cremona Groups and the Icosahedron focuses on the Cremona groups of ranks 2 and 3 and describes the beautiful appearances of the icosahedral group A5 in them. The book surveys known facts about surfaces with an action of A5, explores A5-equivariant geometry of the quintic del Pezzo threefold V5, and gives a proof of its A5-birational rigidity.The a

Author : Carolina Araujo
Publisher : Cambridge University Press
ISBN 13 : 1009193392
Total Pages : 451 pages
Book Rating : 4.99/5 ( download)

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Download or read book The Calabi Problem for Fano Threefolds written by Carolina Araujo and published by Cambridge University Press. This book was released on 2023-06-30 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book determines whether the general element of each family of Fano threefolds is K-polystable, a major problem in mathematics.

Author : Tommaso de Fernex
Publisher : American Mathematical Soc.
ISBN 13 : 1470435772
Total Pages : 655 pages
Book Rating : 4.76/5 ( download)

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Download or read book Algebraic Geometry: Salt Lake City 2015 (Part 1) written by Tommaso de Fernex and published by American Mathematical Soc.. This book was released on 2018-06-01 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is Part 1 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.

Author : Willem Adriaan de Graaf
Publisher : CRC Press
ISBN 13 : 1351646451
Total Pages : 391 pages
Book Rating : 4.51/5 ( download)

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Download or read book Computation with Linear Algebraic Groups written by Willem Adriaan de Graaf and published by CRC Press. This book was released on 2017-08-07 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed as a self-contained account of a number of key algorithmic problems and their solutions for linear algebraic groups, this book combines in one single text both an introduction to the basic theory of linear algebraic groups and a substantial collection of useful algorithms. Computation with Linear Algebraic Groups offers an invaluable guide to graduate students and researchers working in algebraic groups, computational algebraic geometry, and computational group theory, as well as those looking for a concise introduction to the theory of linear algebraic groups.

Author : Walter Ricardo Ferrer Santos
Publisher : CRC Press
ISBN 13 : 1351644777
Total Pages : 542 pages
Book Rating : 4.78/5 ( download)

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Download or read book Actions and Invariants of Algebraic Groups written by Walter Ricardo Ferrer Santos and published by CRC Press. This book was released on 2017-09-19 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Actions and Invariants of Algebraic Groups, Second Edition presents a self-contained introduction to geometric invariant theory starting from the basic theory of affine algebraic groups and proceeding towards more sophisticated dimensions." Building on the first edition, this book provides an introduction to the theory by equipping the reader with the tools needed to read advanced research in the field. Beginning with commutative algebra, algebraic geometry and the theory of Lie algebras, the book develops the necessary background of affine algebraic groups over an algebraically closed field, and then moves toward the algebraic and geometric aspects of modern invariant theory and quotients.

Author : Kimberly A. Patten
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.31/5 ( download)

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Download or read book Groups and Geometry written by Kimberly A. Patten and published by . This book was released on 1997 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Alexander Stoimenow
Publisher : CRC Press
ISBN 13 : 1315359987
Total Pages : 129 pages
Book Rating : 4.84/5 ( download)

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Download or read book Diagram Genus, Generators, and Applications written by Alexander Stoimenow and published by CRC Press. This book was released on 2018-09-03 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: In knot theory, diagrams of a given canonical genus can be described by means of a finite number of patterns ("generators"). Diagram Genus, Generators and Applications presents a self-contained account of the canonical genus: the genus of knot diagrams. The author explores recent research on the combinatorial theory of knots and supplies proofs for a number of theorems. The book begins with an introduction to the origin of knot tables and the background details, including diagrams, surfaces, and invariants. It then derives a new description of generators using Hirasawa’s algorithm and extends this description to push the compilation of knot generators one genus further to complete their classification for genus 4. Subsequent chapters cover applications of the genus 4 classification, including the braid index, polynomial invariants, hyperbolic volume, and Vassiliev invariants. The final chapter presents further research related to generators, which helps readers see applications of generators in a broader context.

Author : H. T. Banks
Publisher : CRC Press
ISBN 13 : 1482206420
Total Pages : 408 pages
Book Rating : 4.25/5 ( download)

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Download or read book Modeling and Inverse Problems in the Presence of Uncertainty written by H. T. Banks and published by CRC Press. This book was released on 2014-04-01 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling and Inverse Problems in the Presence of Uncertainty collects recent research—including the authors’ own substantial projects—on uncertainty propagation and quantification. It covers two sources of uncertainty: where uncertainty is present primarily due to measurement errors and where uncertainty is present due to the modeling formulation itself. After a useful review of relevant probability and statistical concepts, the book summarizes mathematical and statistical aspects of inverse problem methodology, including ordinary, weighted, and generalized least-squares formulations. It then discusses asymptotic theories, bootstrapping, and issues related to the evaluation of correctness of assumed form of statistical models. The authors go on to present methods for evaluating and comparing the validity of appropriateness of a collection of models for describing a given data set, including statistically based model selection and comparison techniques. They also explore recent results on the estimation of probability distributions when they are embedded in complex mathematical models and only aggregate (not individual) data are available. In addition, they briefly discuss the optimal design of experiments in support of inverse problems for given models. The book concludes with a focus on uncertainty in model formulation itself, covering the general relationship of differential equations driven by white noise and the ones driven by colored noise in terms of their resulting probability density functions. It also deals with questions related to the appropriateness of discrete versus continuum models in transitions from small to large numbers of individuals. With many examples throughout addressing problems in physics, biology, and other areas, this book is intended for applied mathematicians interested in deterministic and/or stochastic models and their interactions. It is also suitable for scientists in biology, medicine, engineering, and physics working on basic modeling and inverse problems, uncertainty in modeling, propagation of uncertainty, and statistical modeling.

Author : Charles L. Byrne
Publisher : CRC Press
ISBN 13 : 1482241854
Total Pages : 436 pages
Book Rating : 4.53/5 ( download)

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Download or read book Signal Processing written by Charles L. Byrne and published by CRC Press. This book was released on 2014-11-12 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Signal Processing: A Mathematical Approach is designed to show how many of the mathematical tools the reader knows can be used to understand and employ signal processing techniques in an applied environment. Assuming an advanced undergraduate- or graduate-level understanding of mathematics-including familiarity with Fourier series, matrices, probab

Author : Rafael Villarreal
Publisher : CRC Press
ISBN 13 : 148223470X
Total Pages : 704 pages
Book Rating : 4.01/5 ( download)

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Download or read book Monomial Algebras written by Rafael Villarreal and published by CRC Press. This book was released on 2018-10-08 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monomial Algebras, Second Edition presents algebraic, combinatorial, and computational methods for studying monomial algebras and their ideals, including Stanley–Reisner rings, monomial subrings, Ehrhart rings, and blowup algebras. It emphasizes square-free monomials and the corresponding graphs, clutters, or hypergraphs. New to the Second Edition Four new chapters that focus on the algebraic properties of blowup algebras in combinatorial optimization problems of clutters and hypergraphs Two new chapters that explore the algebraic and combinatorial properties of the edge ideal of clutters and hypergraphs Full revisions of existing chapters to provide an up-to-date account of the subject Bringing together several areas of pure and applied mathematics, this book shows how monomial algebras are related to polyhedral geometry, combinatorial optimization, and combinatorics of hypergraphs. It directly links the algebraic properties of monomial algebras to combinatorial structures (such as simplicial complexes, posets, digraphs, graphs, and clutters) and linear optimization problems.