Timeline for Terminology for blowups in algebraic geometry
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 11, 2013 at 4:12 | comment | added | rghthndsd | I very much like fundamental locus and residual locus. Thanks again! | |
| Sep 10, 2013 at 5:06 | comment | added | Sándor Kovács | @rghthndsd: You are right, exceptional center is not a good name. I made some new suggestions in an update above. | |
| Sep 10, 2013 at 5:05 | history | edited | Sándor Kovács | CC BY-SA 3.0 |
added 386 characters in body
|
| Sep 9, 2013 at 23:50 | comment | added | rghthndsd | I agree "true center" is better than "proper center", as you point out in (4) it gives me a good thing to call the strict transform. Calling it the "proper strict transform" would just be too confusing as Karl points out proper transform and strict transform are synonyms. For (2) the only reason I don't like "exceptional center" is that I would also like a good name for the inverse image of this inside the exceptional locus. This is why I originally started with (2) as the "true center" as then its inverse image is the "truly exceptional locus". | |
| Sep 9, 2013 at 23:34 | vote | accept | rghthndsd | ||
| Sep 9, 2013 at 23:34 | comment | added | rghthndsd | Thanks for the detailed answer! To answer your question from 3, the construction I am using this in has several steps, and at each step I need to refer to the various subschemes (1, 2, and 3) many times. Furthermore, it helps with notation to have $Z_3''$ be the center and to be able to write $Z_{3,\text{qf}}''$ (for my old name, quasi-finite) without having to say what that is every time. | |
| Sep 9, 2013 at 20:46 | history | answered | Sándor Kovács | CC BY-SA 3.0 |