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Results tagged with complete-intersection
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user 7460
2
votes
When is a pair of space curves that intersect (plenty) a complete intersection?
Edit. This is an answer to the original question (in which $c=1$.)
I think these examples do not exist. In fact, there is the following result, that can be found in
S. Diaz: Space curves that intersec …
- 66.3k
5
votes
Accepted
Looking for an inequality between Chern and Todd classes (something in style of Bogomolov-Mi...
By the formulae in [Barth-Peters-Van de Ven, Chapter V] one has, for a surface which is complete intersection of type $(d_1, \ldots, d_{n-2})$ in $\mathbb{P}^n$:
$$c_1^2(X)= \big(\sum d_i-(n+1)\big)^2 …
- 66.3k
5
votes
Surface of type $(2,2)$ on the Segre cubic scroll $\mathbb{P}^1 \times \mathbb{P}^2 \subset ...
This surface $X$ satisfies $p_g(X)=q(X)=0$. Moreover, if $H_X$ is the hyperplane section, by adjunction we find $$K_X^2=2, \quad K_X H_X=-4.$$
Therefore no multiple of the canonical divisor can be eff …
- 66.3k