How Long to Read Meromorphic Functions over Non-Archimedean Fields

How Long Does it Take to Read Meromorphic Functions over Non-Archimedean Fields?

It takes the average reader 5 hours and 3 minutes to read Meromorphic Functions over Non-Archimedean Fields by Pei-Chu Hu

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

Description

Nevanlinna theory (or value distribution theory) in complex analysis is so beautiful that one would naturally be interested in determining how such a theory would look in the non Archimedean analysis and Diophantine approximations. There are two "main theorems" and defect relations that occupy a central place in N evanlinna theory. They generate a lot of applications in studying uniqueness of meromorphic functions, global solutions of differential equations, dynamics, and so on. In this book, we will introduce non-Archimedean analogues of Nevanlinna theory and its applications. In value distribution theory, the main problem is that given a holomorphic curve f : C -+ M into a projective variety M of dimension n and a family 01 of hypersurfaces on M, under a proper condition of non-degeneracy on f, find the defect relation. If 01 n is a family of hyperplanes on M = r in general position and if the smallest dimension of linear subspaces containing the image f(C) is k, Cartan conjectured that the bound of defect relation is 2n - k + 1. Generally, if 01 is a family of admissible or normal crossings hypersurfaces, there are respectively Shiffman's conjecture and Griffiths-Lang's conjecture. Here we list the process of this problem: A. Complex analysis: (i) Constant targets: R. Nevanlinna[98] for n = k = 1; H. Cartan [20] for n = k > 1; E. I. Nochka [99], [100],[101] for n > k ~ 1; Shiffman's conjecture partially solved by Hu-Yang [71J; Griffiths-Lang's conjecture (open).

How long is Meromorphic Functions over Non-Archimedean Fields?

Meromorphic Functions over Non-Archimedean Fields by Pei-Chu Hu is 296 pages long, and a total of 75,776 words.

This makes it 100% the length of the average book. It also has 93% more words than the average book.

How Long Does it Take to Read Meromorphic Functions over Non-Archimedean Fields Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 54 minutes to read Meromorphic Functions over Non-Archimedean Fields aloud.

What Reading Level is Meromorphic Functions over Non-Archimedean Fields?

Meromorphic Functions over Non-Archimedean Fields 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.

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