Timeline for Calculate Kodaira dimension of a singular hypersurface
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| Mar 4, 2019 at 15:54 | comment | added | Sándor Kovács | There is also an interesting computation of the Kodaira dimension of a singular variety on Terry Tao's blog: terrytao.wordpress.com/2014/12/20/…, see also the last comment for a more AG way of the same: terrytao.wordpress.com/2014/12/20/… | |
| Mar 4, 2019 at 15:54 | comment | added | Sándor Kovács | As long as your varieties have canonical singularities you can compute the Kodaira dimension the same way as in the smooth case. For the definition of the canonical sheaf/divisor see mathoverflow.net/questions/35736/…. | |
| Mar 2, 2019 at 16:55 | review | Close votes | |||
| Mar 7, 2019 at 3:05 | |||||
| Mar 2, 2019 at 16:26 | comment | added | Will Sawin | One just defines the Kodaira dimension as the dimension of a resolution of singularities, because it is known to be birationally invariant, so it does not depend on a choice of resolution. The answer obviously depends a lot on the type of singularities, since every variety is birational to a hypersurface. But I'm sure there are nice formulas in many interesting special cases... | |
| Mar 2, 2019 at 16:21 | history | asked | user221330 | CC BY-SA 4.0 |