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Results tagged with quadrics
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user 48522
2
votes
quadrics containing the tangential variety of a curve
Your feeling is actually correct if you replace the word "tangential" with "secant" in your question. More precisely, the secant variety of any irreducible non-degenerate curve in $\mathbb{P}^n$ is no …
- 325
1
vote
0
answers
355
views
A Special Case of Maximal Rank Conjecture
A special case of maximal rank conjecture states that for a general curve $C$ and general points $p_1,\dots ,p_n\in C$ the map
$$Sym^2H^0(K_C-p_1-\dots -p_n)\to H^0(K_C^{\otimes 2}-2p_1-\dots -2p_n)$$ …
- 325
3
votes
0
answers
381
views
Rational normal curves on quadrics
My primary focus in this problem is the case of rank 3 quadrics, but any ideas for any other ranks (except for rank 1 and 2 of course) will be appreciated. …
- 325