Timeline for Checking whether a variety is normal
Current License: CC BY-SA 2.5
9 events
when toggle format | what | by | license | comment | |
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Mar 4, 2016 at 17:25 | answer | added | mez | timeline score: 3 | |
Jun 22, 2013 at 20:03 | answer | added | Ravi Vakil | timeline score: 7 | |
Jun 22, 2013 at 19:57 | comment | added | Ravi Vakil | @diverietti: I see that the first part of the question is indeed an exercise in Shafarevich. I couldn't see the detailed solution; could you give a more specific reference? | |
Apr 1, 2011 at 0:01 | comment | added | diverietti | Take a look to Shafarevich's "Basic Algebraic Geometry 1: Varieties in Projective Space". This is exercise 5 in the section 5 of chapter 2, page 138. A detailed solution is given in the case $n=3$ some pages earlier. | |
Mar 31, 2011 at 15:00 | comment | added | Karl Schwede | A quick and very minor comment. If the characteristic you are working in is 2, then the hypersurface is not normal. | |
Mar 31, 2011 at 14:10 | history | edited | Charles Staats | CC BY-SA 2.5 |
added 5 characters in body
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Mar 31, 2011 at 0:54 | answer | added | Hailong Dao | timeline score: 28 | |
Mar 30, 2011 at 23:55 | comment | added | Georges Elencwajg | Welcome to MathOverflow! A nice sufficient condition for normality is smoothness or (harder to check) just regularity. There is a more technical criterion for normality (due to Serre) and not very helpfully called "R1+S2" : you can read about it on page 183 of Matsumura's Commutative Ring Theory. | |
Mar 30, 2011 at 18:00 | history | asked | anonymous | CC BY-SA 2.5 |