Timeline for Is there a relation between the first Chern class of a sub canonical submanifold of the complex projective space and the degrees of the polynomials that define locally the submanifold?

9 events

when toggle format	what		by	license	comment
Oct 8, 2012 at 11:14	vote	accept	Nina
Oct 3, 2012 at 12:53	history	edited	Sándor Kovács	CC BY-SA 3.0	added 3 characters in body
Oct 3, 2012 at 8:40	vote	accept	Nina
Oct 3, 2012 at 9:03
Oct 3, 2012 at 4:02	comment	added	Sándor Kovács		ps: I edited the answer to make the proof simpler not even needing any assumption about $N$.
Oct 3, 2012 at 4:01	history	edited	Sándor Kovács	CC BY-SA 3.0	added 841 characters in body
Oct 3, 2012 at 2:36	comment	added	Sándor Kovács		Sasha, I meant that $N$ is defined locally by a single equation which is the definition of a Cartier divisor. $X$ is neirther normal nor irreducible, so the usual concept of Weil divisors don't work. I think this is equivalent to $M\cap N$ being Cartier in $M$ and that is indeed what's needed. It doesn't have to be Cartier in $N$.
Oct 2, 2012 at 17:17	comment	added	Sasha		Sandor, what do you mean by saying that $N$ is a divisor in $X$. Both have the same dimension! Did you mean that the intersection $M \cap N$ is a Cartier divisor in both $M$ and $N$?
Oct 2, 2012 at 16:03	history	edited	Sándor Kovács	CC BY-SA 3.0	added 166 characters in body
Oct 2, 2012 at 15:06	history	answered	Sándor Kovács	CC BY-SA 3.0