Dmitry Kerner

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Name Dmitry Kerner
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May
11
asked Invariants of a module, ‘readily’ computable from the presentation matrix
Mar
13
asked matrices over local rings, up to equivalence
Feb
28
revised Artin approximation theorems over non-regular rings/non-Noetherian rings
edited tags
Feb
28
comment Artin approximation theorems over non-regular rings/non-Noetherian rings
Probably I miss smth, but in the paper "A rigid analytic version of M. Artin's theorem on analytic equations" he seems to consider polynomial equations. At least this is the statement on page 1.
Feb
27
asked Artin approximation theorems over non-regular rings/non-Noetherian rings
Feb
21
answered Components of an exceptional divisor
Feb
18
comment working with local rings: “abstract” vs “geometric” proofs
@Mahdi: the initial Artin's theorem addresses the ring of complex analytic functions! i.e. precisely the good case: you can compute each such function at points close to the origin. see my upd.
Feb
17
revised working with local rings: “abstract” vs “geometric” proofs
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Feb
17
comment working with local rings: “abstract” vs “geometric” proofs
@Mahdi: precisely. That's what I'm asking. For which statements about the local rings it is enough to check the statement just for e.g. localization/henselization of an affine ring?
Feb
17
comment working with local rings: “abstract” vs “geometric” proofs
@Eric Wofsey: I speak about a statement formulated over an arbitrary local ring. Maybe complete, maybe not. Can't see how Cohen's structure theorem can be helpful here.
Feb
17
asked working with local rings: “abstract” vs “geometric” proofs
Feb
10
comment basics of classification of trilinear forms (when is it non-discrete)
@Robert: being ignorant I did not think that the field matters much. :( Could you give more details? A reference?
Feb
10
comment basics of classification of trilinear forms (when is it non-discrete)
Thanks! Still more questions: 1. Where is this written? (Instead of writing down the reasoning in my paper I'd prefer just to cite some text) 2. Suppose, for a given group acting on a space, there is just one open dense orbit. Does it imply that all the orbits are discrete (no moduli)? I cannot think of any counterexample, being ignorant. Or, maybe there are some additional (not too restrictive) conditions ?
Feb
10
revised basics of classification of trilinear forms (when is it non-discrete)
added 100 characters in body
Feb
10
asked basics of classification of trilinear forms (when is it non-discrete)
Jan
4
revised When fitting ideals determine the module?
added 219 characters in body
Jan
3
revised When two determinantal ideals together generate a power of the maximal ideal?
edited title
Jan
3
asked When two determinantal ideals together generate a power of the maximal ideal?
Dec
30
awarded  Yearling
Dec
5
awarded  Self-Learner