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Cremona Groups and the Icosahedron

2015-08-21 Mathematics
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Release : 2015-08-21
Genre : Mathematics
Kind : eBook
Book Rating : 604/5 ( reviews)

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Book Synopsis Cremona Groups and the Icosahedron by : Ivan Cheltsov

Download or read book Cremona Groups and the Icosahedron written by Ivan Cheltsov. This book was released on 2015-08-21. 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

The Calabi Problem for Fano Threefolds

2023-06-30 Mathematics
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Release : 2023-06-30
Genre : Mathematics
Kind : eBook
Book Rating : 392/5 ( reviews)

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Book Synopsis The Calabi Problem for Fano Threefolds by : Carolina Araujo

Download or read book The Calabi Problem for Fano Threefolds written by Carolina Araujo. This book was released on 2023-06-30. 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.

Algebraic Geometry: Salt Lake City 2015

2018-06-01 Mathematics
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Release : 2018-06-01
Genre : Mathematics
Kind : eBook
Book Rating : 772/5 ( reviews)

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Book Synopsis Algebraic Geometry: Salt Lake City 2015 by : Tommaso de Fernex

Download or read book Algebraic Geometry: Salt Lake City 2015 written by Tommaso de Fernex. This book was released on 2018-06-01. 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.

Computation with Linear Algebraic Groups

2017-08-07 Mathematics
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Release : 2017-08-07
Genre : Mathematics
Kind : eBook
Book Rating : 911/5 ( reviews)

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Book Synopsis Computation with Linear Algebraic Groups by : Willem Adriaan de Graaf

Download or read book Computation with Linear Algebraic Groups written by Willem Adriaan de Graaf. This book was released on 2017-08-07. 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.

Actions and Invariants of Algebraic Groups

2017-09-19 Mathematics
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Release : 2017-09-19
Genre : Mathematics
Kind : eBook
Book Rating : 777/5 ( reviews)

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Book Synopsis Actions and Invariants of Algebraic Groups by : Walter Ricardo Ferrer Santos

Download or read book Actions and Invariants of Algebraic Groups written by Walter Ricardo Ferrer Santos. This book was released on 2017-09-19. 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.

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