Timeline for Bertini's Theorem
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Dec 20, 2014 at 8:39 | history | edited | Francesco Polizzi | CC BY-SA 3.0 |
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| May 15, 2014 at 14:53 | history | edited | Francesco Polizzi | CC BY-SA 3.0 |
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| May 14, 2014 at 11:42 | comment | added | Puzzled | Dear Francesco, I guess there is a little mistake in your definition of $M(N,k)$. Did you mean $M(N,2k) = 2\cdot\binom{k+N}{N}$ ? | |
| Mar 16, 2014 at 17:35 | vote | accept | CommunityBot | ||
| Mar 16, 2014 at 14:33 | comment | added | user47036 | Thank you. It seems to me that this condition means that the number on the left is the greatest number of independent conditions imposed by the singular points. So, this means that the dimension of the space of hypersurfaces must be strictly greater than the number of expected independent conditions. In the example $d = N = m_1 = m_2 = 2$ this fails because the number of expected conditions is 6 and even if these equations are not independent we have $M(2,2) = 6$. Is this correct? Why did you define the number $M(N,2k-1)$? It seems that you do not need it in the proposition. | |
| Mar 16, 2014 at 13:44 | history | edited | Francesco Polizzi | CC BY-SA 3.0 |
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| Mar 16, 2014 at 1:02 | history | edited | Francesco Polizzi | CC BY-SA 3.0 |
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| Mar 16, 2014 at 0:50 | history | answered | Francesco Polizzi | CC BY-SA 3.0 |