How Long to Read On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (AM-157)

How Long Does it Take to Read On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (AM-157)?

It takes the average reader 3 hours and 32 minutes to read On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (AM-157) by Mark L. Green

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

Description

In recent years, considerable progress has been made in studying algebraic cycles using infinitesimal methods. These methods have usually been applied to Hodge-theoretic constructions such as the cycle class and the Abel-Jacobi map. Substantial advances have also occurred in the infinitesimal theory for subvarieties of a given smooth variety, centered around the normal bundle and the obstructions coming from the normal bundle's first cohomology group. Here, Mark Green and Phillip Griffiths set forth the initial stages of an infinitesimal theory for algebraic cycles. The book aims in part to understand the geometric basis and the limitations of Spencer Bloch's beautiful formula for the tangent space to Chow groups. Bloch's formula is motivated by algebraic K-theory and involves differentials over Q. The theory developed here is characterized by the appearance of arithmetic considerations even in the local infinitesimal theory of algebraic cycles. The map from the tangent space to the Hilbert scheme to the tangent space to algebraic cycles passes through a variant of an interesting construction in commutative algebra due to Angéniol and Lejeune-Jalabert. The link between the theory given here and Bloch's formula arises from an interpretation of the Cousin flasque resolution of differentials over Q as the tangent sequence to the Gersten resolution in algebraic K-theory. The case of 0-cycles on a surface is used for illustrative purposes to avoid undue technical complications.

How long is On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (AM-157)?

On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (AM-157) by Mark L. Green is 207 pages long, and a total of 53,199 words.

This makes it 70% the length of the average book. It also has 65% more words than the average book.

How Long Does it Take to Read On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (AM-157) Aloud?

The average oral reading speed is 183 words per minute. This means it takes 4 hours and 50 minutes to read On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (AM-157) aloud.

What Reading Level is On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (AM-157)?

On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (AM-157) 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 On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (AM-157)?

On the Tangent Space to the Space of Algebraic Cycles on a Smooth Algebraic Variety. (AM-157) by Mark L. Green 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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