How Long to Read Riemann Surfaces and Generalized Theta Functions

How Long Does it Take to Read Riemann Surfaces and Generalized Theta Functions?

It takes the average reader 3 hours and 1 minute to read Riemann Surfaces and Generalized Theta Functions by Robert C. Gunning

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

Description

The investigation of the relationships between compact Riemann surfaces (al gebraic curves) and their associated complex tori (Jacobi varieties) has long been basic to the study both of Riemann surfaces and of complex tori. A Riemann surface is naturally imbedded as an analytic submanifold in its associated torus; and various spaces of linear equivalence elasses of divisors on the surface (or equivalently spaces of analytic equivalence elasses of complex line bundies over the surface), elassified according to the dimensions of the associated linear series (or the dimensions of the spaces of analytic cross-sections), are naturally realized as analytic subvarieties of the associated torus. One of the most fruitful of the elassical approaches to this investigation has been by way of theta functions. The space of linear equivalence elasses of positive divisors of order g -1 on a compact connected Riemann surface M of genus g is realized by an irreducible (g -1)-dimensional analytic subvariety, an irreducible hypersurface, of the associated g-dimensional complex torus J(M); this hyper 1 surface W- r;;;, J(M) is the image of the natural mapping Mg- -+J(M), and is g 1 1 birationally equivalent to the (g -1)-fold symmetric product Mg- jSg-l of the Riemann surface M.

How long is Riemann Surfaces and Generalized Theta Functions?

Riemann Surfaces and Generalized Theta Functions by Robert C. Gunning is 177 pages long, and a total of 45,489 words.

This makes it 60% the length of the average book. It also has 56% more words than the average book.

How Long Does it Take to Read Riemann Surfaces and Generalized Theta Functions Aloud?

The average oral reading speed is 183 words per minute. This means it takes 4 hours and 8 minutes to read Riemann Surfaces and Generalized Theta Functions aloud.

What Reading Level is Riemann Surfaces and Generalized Theta Functions?

Riemann Surfaces and Generalized Theta Functions is suitable for students ages 10 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 Riemann Surfaces and Generalized Theta Functions?

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