How Long to Read Several Complex Variables with Connections to Algebraic Geometry and Lie Groups

How Long Does it Take to Read Several Complex Variables with Connections to Algebraic Geometry and Lie Groups?

It takes the average reader 8 hours and 50 minutes to read Several Complex Variables with Connections to Algebraic Geometry and Lie Groups by Joseph L. Taylor

Assuming a reading speed of 250 words per minute. Learn more

Description

This text presents an integrated development of core material from several complex variables and complex algebraic geometry, leading to proofs of Serre's celebrated GAGA theorems relating the two subjects, and including applications to the representation theory of complex semisimple Lie groups. It includes a thorough treatment of the local theory using the tools of commutative algebra, an extensive development of sheaf theory and the theory of coherent analytic and algebraicsheaves, proofs of the main vanishing theorems for these categories of sheaves, and a complete proof of the finite dimensionality of the cohomology of coherent sheaves on compact varieties. The vanishing theorems have a wide variety of applications and these are covered in detail. Of particular interest arethe last three chapters, which are devoted to applications of the preceding material to the study of the structure theory and representation theory of complex semisimple Lie groups. Included are introductions to harmonic analysis, the Peter-Weyl theorem, Lie theory and the structure of Lie algebras, semisimple Lie algebras and their representations, algebraic groups and the structure of complex semisimple Lie groups. All of this culminates in Milicic's proof of the Borel-Weil-Bott theorem,which makes extensive use of the material developed earlier in the text. There are numerous examples and exercises in each chapter. This modern treatment of a classic point of view would be an excellent text for a graduate course on several complex variables, as well as a useful reference for theexpert.

How long is Several Complex Variables with Connections to Algebraic Geometry and Lie Groups?

Several Complex Variables with Connections to Algebraic Geometry and Lie Groups by Joseph L. Taylor is 530 pages long, and a total of 132,500 words.

This makes it 179% the length of the average book. It also has 162% more words than the average book.

How Long Does it Take to Read Several Complex Variables with Connections to Algebraic Geometry and Lie Groups Aloud?

The average oral reading speed is 183 words per minute. This means it takes 12 hours and 4 minutes to read Several Complex Variables with Connections to Algebraic Geometry and Lie Groups aloud.

What Reading Level is Several Complex Variables with Connections to Algebraic Geometry and Lie Groups?

Several Complex Variables with Connections to Algebraic Geometry and Lie Groups is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Several Complex Variables with Connections to Algebraic Geometry and Lie Groups?

Several Complex Variables with Connections to Algebraic Geometry and Lie Groups by Joseph L. Taylor is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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