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Results tagged with ag.algebraic-geometry
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user 14848
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
6
votes
Accepted
Does negative semidefinite intersection matrix of bunch of curves implies zero intersection ...
The answer already given here seems to assume the E_i are pairwise disjoint, which I didn't take to be the case from your question.
To get the result in general, I think you need to use the additiona …
- 336
6
votes
Intersection on Singular Varieties
Normal is not enough to define an intersection product in higher dimensions. In Fulton, I think you can find the example of a cone over a quadric surface on which it is impossible to define a well be …
- 336
12
votes
Accepted
What is the minimal degree of a smooth projective embedding of a hyperelliptic curve?
Felipe, I believe the answer here is d=g+3. To see that you can embed your curve in this degree is straightforward - just choose a generic line bundle of degree g+3 and it will work.
In the case of …
- 336
5
votes
Accepted
Looking for a special rank 2 vector bundle
Every curve admits a degree g-1 line bundle with $h^0=h^1=0$ -- in fact a generic degree g-1 line bundle has this property, since the space of degree g-1 divisors is g-1 dimensional, but the space of …
- 336