Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action

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Release : 2013-03-09
Genre : Mathematics
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Book Rating : 714/5 ( reviews)

Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action write by A. Bialynicki-Birula. This book was released on 2013-03-09. Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action available in PDF, EPUB and Kindle. This is the second volume of the new subseries "Invariant Theory and Algebraic Transformation Groups". The aim of the survey by A. Bialynicki-Birula is to present the main trends and achievements of research in the theory of quotients by actions of algebraic groups. This theory contains geometric invariant theory with various applications to problems of moduli theory. The contribution by J. Carrell treats the subject of torus actions on algebraic varieties, giving a detailed exposition of many of the cohomological results one obtains from having a torus action with fixed points. Many examples, such as toric varieties and flag varieties, are discussed in detail. W.M. McGovern studies the actions of a semisimple Lie or algebraic group on its Lie algebra via the adjoint action and on itself via conjugation. His contribution focuses primarily on nilpotent orbits that have found the widest application to representation theory in the last thirty-five years.

Actions and Invariants of Algebraic Groups

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

Actions and Invariants of Algebraic Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Actions and Invariants of Algebraic Groups write by Walter Ricardo Ferrer Santos. This book was released on 2017-09-19. Actions and Invariants of Algebraic Groups available in PDF, EPUB and Kindle. 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.

Facets of Algebraic Geometry

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Release : 2022-04-07
Genre : Mathematics
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Book Rating : 510/5 ( reviews)

Facets of Algebraic Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Facets of Algebraic Geometry write by Paolo Aluffi. This book was released on 2022-04-07. Facets of Algebraic Geometry available in PDF, EPUB and Kindle. Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.

Cox Rings

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Release : 2015
Genre : Mathematics
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Book Rating : 625/5 ( reviews)

Cox Rings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Cox Rings write by Ivan Arzhantsev. This book was released on 2015. Cox Rings available in PDF, EPUB and Kindle. This book provides a largely self-contained introduction to Cox rings and their applications in algebraic and arithmetic geometry.

Actions and Invariants of Algebraic Groups

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Release : 2005-04-26
Genre : Mathematics
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Book Rating : 795/5 ( reviews)

Actions and Invariants of Algebraic Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Actions and Invariants of Algebraic Groups write by Walter Ferrer Santos. This book was released on 2005-04-26. Actions and Invariants of Algebraic Groups available in PDF, EPUB and Kindle. Actions and Invariants of Algebraic Groups presents a self-contained introduction to geometric invariant theory that links the basic theory of affine algebraic groups to Mumford's more sophisticated theory. The authors systematically exploit the viewpoint of Hopf algebra theory and the theory of comodules to simplify and compactify many of the rele