Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
David Urbanik, Department of Pure Mathematics, University of Waterloo
"Chevalley's Theorem on Constructible Sets in the Language of Schemes"
We continue working through Vakil's notes, this time covering section 7.4 on Chevalley's Theorem on Constructible Sets. Chevalley's theorem gives a sensible answer to the question: given a sufficiently "nice" scheme X and a correspondingly "nice" morphism X to Y, what can we say about the image of X in Y? The answer is that the image is a so-called "constructible set", which we will see is a natural notion that generalizes open and closed sets. Chevalley's theorem will also give us a proof of the Nullstellensatz, and help us develop intuition for the types of scheme morphisms we have defined so far.
MC 5417
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
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