Timeline for Intersection on Singular Varieties
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Dec 8, 2023 at 14:33 | comment | added | David Rydh | A short summary of the intersection theory on normal surfaces can be found in Section 1.1 of Adrian Langer's recent paper arxiv.org/abs/2310.04761. This includes the case of surfaces over non-perfect fields. The theory can also be found in Fulton's book (Ex 7.1.16, 8.3.11). | |
| Mar 30, 2023 at 16:00 | history | edited | Glorfindel | CC BY-SA 4.0 |
broken link fixed, cf. https://meta.mathoverflow.net/q/5301/70594
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| Mar 6, 2012 at 21:34 | comment | added | ACL | For surfaces, resolution of singularities holds in any characteristic; even in mixed characteristic, for arithmetic surfaces. | |
| Mar 6, 2012 at 16:36 | comment | added | Donu Arapura | Benjamin: At least in Mumford's original approach, you need resolution of singularities and negative definiteness of the intersection matrix for exceptional divisors (which follows from the Hodge index theorem). Both resolution and Hodge index are valid for surfaces in arbitrary characteristic. | |
| Mar 6, 2012 at 16:14 | comment | added | Benjamin Schmidt | Am I correct that this only works over $\mathbb{C}$? Sadly, I try to avoid reducing to characteristic $0$. | |
| Mar 6, 2012 at 15:44 | history | answered | Francesco Polizzi | CC BY-SA 3.0 |