How Long to Read Commensurabilities Among Lattices in PU (1,n)

How Long Does it Take to Read Commensurabilities Among Lattices in PU (1,n)?

It takes the average reader 3 hours and 18 minutes to read Commensurabilities Among Lattices in PU (1,n) by Pierre Deligne

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

Description

The first part of this monograph is devoted to a characterization of hypergeometric-like functions, that is, twists of hypergeometric functions in n-variables. These are treated as an (n+1) dimensional vector space of multivalued locally holomorphic functions defined on the space of n+3 tuples of distinct points on the projective line P modulo, the diagonal section of Auto P=m. For n=1, the characterization may be regarded as a generalization of Riemann's classical theorem characterizing hypergeometric functions by their exponents at three singular points. This characterization permits the authors to compare monodromy groups corresponding to different parameters and to prove commensurability modulo inner automorphisms of PU(1,n). The book includes an investigation of elliptic and parabolic monodromy groups, as well as hyperbolic monodromy groups. The former play a role in the proof that a surprising number of lattices in PU(1,2) constructed as the fundamental groups of compact complex surfaces with constant holomorphic curvature are in fact conjugate to projective monodromy groups of hypergeometric functions. The characterization of hypergeometric-like functions by their exponents at the divisors "at infinity" permits one to prove generalizations in n-variables of the Kummer identities for n-1 involving quadratic and cubic changes of the variable.

How long is Commensurabilities Among Lattices in PU (1,n)?

Commensurabilities Among Lattices in PU (1,n) by Pierre Deligne is 195 pages long, and a total of 49,725 words.

This makes it 66% the length of the average book. It also has 61% more words than the average book.

How Long Does it Take to Read Commensurabilities Among Lattices in PU (1,n) Aloud?

The average oral reading speed is 183 words per minute. This means it takes 4 hours and 31 minutes to read Commensurabilities Among Lattices in PU (1,n) aloud.

What Reading Level is Commensurabilities Among Lattices in PU (1,n)?

Commensurabilities Among Lattices in PU (1,n) 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.

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