2,233 reputation
527
bio website mat.ulaval.ca/hchapdelaine/…
location Quebec city
age 36
visits member for 3 years, 10 months
seen 4 hours ago

Oct
15
comment A simple proof that parallelizable oriented closed manifolds are oriented boundaries?
Yes indeed, the anecdote behind your first answer is quite inspiring!
Oct
15
accepted A simple proof that parallelizable oriented closed manifolds are oriented boundaries?
Oct
15
comment A simple proof that parallelizable oriented closed manifolds are oriented boundaries?
OK thanks! This is a very nice argument!
Oct
14
comment A simple proof that parallelizable oriented closed manifolds are oriented boundaries?
Dear Andras, what do you mean by "take all the posets"?
Oct
14
revised Intersection of a ring class field of a quadratic field K with the cyclotomic extension of K
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Oct
13
revised Intersection of a ring class field of a quadratic field K with the cyclotomic extension of K
edited title
Oct
13
revised Intersection of a ring class field of a quadratic field K with the cyclotomic extension of K
edited title
Oct
13
asked Intersection of a ring class field of a quadratic field K with the cyclotomic extension of K
Oct
12
awarded  Nice Question
Oct
4
revised smooth connected affine scheme over Z has good reduction almost everywhere
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Oct
4
revised smooth connected affine scheme over Z has good reduction almost everywhere
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Oct
4
answered smooth connected affine scheme over Z has good reduction almost everywhere
Oct
4
comment smooth connected affine scheme over Z has good reduction almost everywhere
The second part of your explanation is extremely enlightening and made me understand with some depth the meaning of the expression "smoothness spreads out from the generic fiber".
Oct
4
accepted smooth connected affine scheme over Z has good reduction almost everywhere
Oct
4
comment smooth connected affine scheme over Z has good reduction almost everywhere
Dear aonymous, thanks a lot for your answer. I had completely forgotten about the Nullestellsaz (and elemination theory), but now I remember Wan der Waerden wonderful treatment in his second algebra book. I really like this kind of argument since it is extremely elementary and it goes directly to the heart of the matter without burying it into fancy words which sometimes hide the essential truth.
Oct
3
revised smooth connected affine scheme over Z has good reduction almost everywhere
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Oct
2
comment smooth connected affine scheme over Z has good reduction almost everywhere
Thanks @Felipe. You said in your answer (in the reference link you gave) "...with schemes it is completely obvious...", so may be you could write down or give me a sketch? Thanks in advance
Oct
2
revised smooth connected affine scheme over Z has good reduction almost everywhere
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Oct
1
comment smooth connected affine scheme over Z has good reduction almost everywhere
@Ari, is it possible to prove this result using the notion of resultant combined with an decreasing induction on the dimension?
Oct
1
revised smooth connected affine scheme over Z has good reduction almost everywhere
added 24 characters in body; edited title