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Results tagged with projective-geometry
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user 605
8
votes
What is the exact statement of "there are 27 lines on a cubic"?
To see the 27 lines, take 6 generic points on P(2) and consider the linear
system of cubics through them. This linear system defines a rational map
from P^2 to P^3 which is nothing more than the blow- …
- 8,828
7
votes
Accepted
Divisors, extensions of functions
The very same result holds in arbitrary dimensions: a locally bounded holomorphic function
defined in the complement of a divisor extends. In many textbooks (like Gunning's) this is also called Riemm …
- 8,828
2
votes
0
answers
103
views
Approximating formal surfaces by analytic surfaces
Let $C$ be a smooth projective curve contained in a smooth projective $3$-fold (everything defined over $\mathbb C$). Let $\widehat X$ be the formal completion of $X$ along $C$ and suppose there exist …
- 8,828