Math 480, Spring 2014, Assignment 1

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Carefully define the following terms, then give one example and one non-example of each:[edit]

  1. Regular map (from one affine algebraic variety to another).
  2. Regular function.
  3. The coordinate ring $\mathsf{k}[V]$ of a variety $V$.
  4. Isomorphism (from one variety to another).

Carefully state the following theorems (you need not prove them):[edit]

  1. Theorem relating irreducibility of $V$ to zero-divisors in $\mathsf{k}[V]$.

Solve the following problems:[edit]

  1. Section 5.1, problems 1, 2, 4, and 6.
--------------------End of assignment--------------------

Questions:[edit]

Solutions:[edit]