Timeline for What does it mean that $[X]+[Y]=0$ in the Grothendieck ring of varieties?
Current License: CC BY-SA 3.0
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| Apr 13, 2017 at 16:13 | comment | added | Artur Jackson | Right. First understanding what is 0 in the ring is a big step. But be careful! It is possible that there are torsion elements! (Although the proofs on this page show that the class of a variety [X] cannot be torsion.) Also the existence of zero divisors is extremely subtle. | |
| Apr 13, 2017 at 16:05 | comment | added | user2520938 | Thank you for this answer. It is true that my main confusion was about try to wrap my head around what it even means for an element to be $0$ in this ring. I understand now that the motivic measures are useful in trying to understand some basic things about this ring | |
| Apr 13, 2017 at 16:01 | history | answered | ACL | CC BY-SA 3.0 |