Timeline for Hodge numbers of diffeomorphic complete intersections
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
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| Apr 16, 2020 at 5:55 | vote | accept | David C | ||
| Apr 16, 2020 at 2:24 | answer | added | Jianbo Wang | timeline score: 3 | |
| Jul 4, 2014 at 5:04 | comment | added | roy smith | I suggest asking Bob Friedman. | |
| Jul 3, 2014 at 21:57 | history | edited | David C | CC BY-SA 3.0 |
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| Jul 2, 2014 at 13:56 | history | edited | Daniel Loughran | CC BY-SA 3.0 |
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| Jul 2, 2014 at 9:17 | comment | added | nsrt | Thom's result follows from the simple fact that it is a certain projective space (one coordinate for each possible coefficient in the defining polynomials) minus the Zariski closed subspace corresponding to coefficients defining singular intersections, and the latter has positive complex codimension, so real codimension > 2. | |
| Jul 2, 2014 at 8:49 | history | edited | David C | CC BY-SA 3.0 |
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| Jul 2, 2014 at 8:25 | answer | added | Oscar Randal-Williams | timeline score: 5 | |
| Jul 2, 2014 at 6:25 | comment | added | David C | Thank you Daniel, apparently R. Thom also proved this result thanks to purely topological arguments. | |
| Jul 2, 2014 at 6:24 | history | edited | David C | CC BY-SA 3.0 |
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| Jul 1, 2014 at 21:40 | comment | added | Daniel Loughran | A result of Hartshorne says that the Hilbert scheme of closed subschemes of projective space with given Hilbert polynomial is connected. Therefore it seems that any two smooth complete intersections with the same type (i.e. number and degrees of equations) are deformation equivalent (hence diffeomorphic) and so have the same Hodge numbers. | |
| Jul 1, 2014 at 20:07 | comment | added | Francesco Polizzi | and also mathoverflow.net/questions/42709/question-about-hodge-number/… | |
| Jul 1, 2014 at 20:06 | comment | added | Francesco Polizzi | somehow related: mathoverflow.net/questions/42744/… | |
| Jul 1, 2014 at 19:41 | history | asked | David C | CC BY-SA 3.0 |