Intersection Theory Class 4 Ravi
نویسنده
چکیده
Homework due on Monday: 1. Find the order of y/x at origin in y = x using the length definition. 2. In no more than half a page, explain why Bezout’s Theorem for plane curves is true (i.e. explicate Fulton’s Example 1.4.1). Feel free to assume that F is irreducible. You can also get a “bye” for two weeks of homework by (at some point in the future) explaining to me the “rational equivalence pushes forward under proper morphisms” result (Prop. 1.4). We’re in the process of seeing that cycles (proper) pushforward and (flat) pullback, and that rational equivalences do to. We need a lot of algebra to set ourselves up. This will decrease in later chapters. Also, Rob will give Wednesday’s class; he’ll end Chapter 1 and start Chapter 2.
منابع مشابه
Intersection Theory Class 14
1. Where we are: Segre classes of vector bundles, and Segre classes of cones 1 1.1. Segre classes of cones 1 2. What the “functoriality of Segre classes of subschemes” buys us 2 2.1. The multiplicity of a variety along a subvariety 2 3. Deformation to the normal cone 3 3.1. The construction 3 4. Specialization to the normal cone 5 4.1. Gysin pullback for local complete intersections 6 4.2. Inte...
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