Jurusan Manajemen E-books

Algebraic Geometry

Download E-books Several Complex Variables with Connections to Algebraic Geometry and Lie Groups (Graduate Studies in Mathematics, V. 46) PDF

By Joseph L. Taylor

This article offers an built-in improvement of the speculation of numerous complicated variables and intricate algebraic geometry, resulting in proofs of Serre's celebrated GAGA theorems concerning the 2 topics, and together with purposes to the illustration idea of advanced semisimple Lie teams. It incorporates a thorough therapy of the neighborhood thought utilizing the instruments of commutative algebra, an in depth improvement of sheaf concept and the idea of coherent analytic and algebraic sheaves, proofs of the most vanishing theorems for those different types of sheaves, and a whole evidence of the finite dimensionality of the cohomology of coherent sheaves on compact forms. The vanishing theorems have a large choice of purposes and those are coated intimately. Of specific curiosity are the final 3 chapters, that are dedicated to functions of the previous fabric to the examine of the constitution and representations of complicated semisimple Lie groups.Included during this textual content are introductions to harmonic research, the Peter-Weyl theorem, Lie thought and the constitution of Lie algebras, semisimple Lie algebras and their representations, algebraic teams and the constitution of complicated semisimple Lie teams. All of this culminates in Milicic's facts of the Borel-Weil-Bott theorem, which makes wide use of the cloth built past within the textual content. there are lots of examples and routines in each one bankruptcy. this contemporary remedy of a vintage standpoint will be an outstanding textual content for a graduate direction on a number of advanced variables, in addition to an invaluable reference for the professional.

Show description

Read Online or Download Several Complex Variables with Connections to Algebraic Geometry and Lie Groups (Graduate Studies in Mathematics, V. 46) PDF

Best Algebraic Geometry books

The Turban for the Crown: The Islamic Revolution in Iran (Studies in Middle Eastern History)

The Iranian revolution nonetheless baffles so much Western observers. Few thought of the increase of theocracy in a modernized nation attainable, and less notion it may consequence from a well-liked revolution. acknowledged Amir Arjomand's The Turban for the Crown presents a considerate, painstakingly researched, and intelligible account of the turmoil in Iran which finds the significance of this singular occasion for our knowing of revolutions.

The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics)

First textbook-level account of easy examples and strategies during this region. appropriate for self-study by means of a reader who is familiar with a bit commutative algebra and algebraic geometry already. David Eisenbud is a widely known mathematician and present president of the yank Mathematical Society, in addition to a profitable Springer writer.

A First Course in Modular Forms (Graduate Texts in Mathematics, Vol. 228)

This booklet introduces the idea of modular kinds, from which all rational elliptic curves come up, with a watch towards the Modularity Theorem. dialogue covers elliptic curves as complicated tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner idea; Hecke eigenforms and their mathematics homes; the Jacobians of modular curves and the Abelian kinds linked to Hecke eigenforms.

Measure, Topology, and Fractal Geometry (Undergraduate Texts in Mathematics)

In accordance with a path given to proficient high-school scholars at Ohio college in 1988, this e-book is largely a sophisticated undergraduate textbook in regards to the arithmetic of fractal geometry. It properly bridges the distance among conventional books on topology/analysis and extra really good treatises on fractal geometry.

Extra resources for Several Complex Variables with Connections to Algebraic Geometry and Lie Groups (Graduate Studies in Mathematics, V. 46)

Show sample text content

Rated 4.31 of 5 – based on 16 votes