User marcello - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-20T05:27:46Z http://mathoverflow.net/feeds/user/22770 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/93551/second-chern-class-of-blow-up Second Chern Class of Blow-up Marcello 2012-04-09T07:50:14Z 2012-04-09T13:36:14Z <p>Let X be a compact surface and $\tilde{X}$ its blowing-up, how can I show the formula $c_2(\tilde{X})=c_2(X)+1$?</p> http://mathoverflow.net/questions/93551/second-chern-class-of-blow-up Comment by Marcello Marcello 2012-04-10T08:40:28Z 2012-04-10T08:40:28Z I'd prefer to show it by computing transition functions of $T\tilde{X}$ and to prove something like $T\tilde{X}=TX\otimes E$, where E is the exceptional divisor.