Timeline for Resolution of singularities of the resultant locus
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Mar 26, 2023 at 3:49 | comment | added | Asvin | Hi Jason, Sorry to come back to this after so long. But I couldn't actually figure out how to prove that the resultant varieties have a conical stratification (even in characteristic $0$). Could you explain more or point me to a reference? | |
| Feb 7, 2023 at 16:31 | comment | added | Asvin | Thank you! This is great. After a short skim, I believe their procedure works unmodified in any characteristic - is that right? And if so, do you know if there is a reference for the positive characteristic version since that is my real interest? I would prefer to cite something rather than simply say "the construction can be modified to work in positive characteristic without difficulty". | |
| Feb 7, 2023 at 12:51 | comment | added | Jason Starr | The resultant varieties have a natural conical stratification (by the length of the base locus of the system of polynomials). There is an associated resolution algorithm to produce a minimal wonderful resolution in the article "Making conical compactifications wonderful" by MacPherson and Procesi (following earlier work by de Concini and Procesi). | |
| Feb 7, 2023 at 5:47 | history | asked | Asvin | CC BY-SA 4.0 |