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20
votes
Accepted
Survey article on Intersection Theory
Dear Klim, when you say "the" book, i suppose you mean Intersection Theory published by Springer . However Fulton has written a much more elementary overview called Introduction to Intersection Theory …
14
votes
Chern classes of a blow-up at a point
For the first Chern class you get the simple formula
$$c_1(\tilde X)=p^*c_1(X)- (n-1)E$$
where $p:\tilde X \to X$ is the projection and $E$ the exceptional divisor.
In general the formula is more …