bio | website | |
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location | Moscow | |
age | 24 | |
visits | member for | 3 years, 5 months |
seen | 21 hours ago | |
stats | profile views | 943 |
Mar 15 |
comment |
Dimension of a commuting nilpotent variety
I'd say that this is a no so trivial question. Namely, if you omit the "commute with $A$" condition, you get the variety of commuting nilpotent matrices. Its dimension is $n^2-1$, which is not obvious (see "The Variety of Pairs of Commuting Nilpotent Matrices is Irreducible" by Volodia Baranovsky). |
Feb 21 |
answered | Easy to state applications of dimension theory in algebraic geometry |
Feb 21 |
answered | Failure of Noether normalization |
Feb 12 |
awarded | Self-Learner |
Feb 11 |
awarded | Revival |
Feb 11 |
awarded | Scholar |
Feb 11 |
accepted | Iterated Pieri's rule, Schur functors and intersection of subrepresentations |
Feb 11 |
answered | Iterated Pieri's rule, Schur functors and intersection of subrepresentations |
Feb 11 |
asked | Equivariant derived category and invariant divisor |
Feb 8 |
comment |
For what varieties do we have results on the category of singularities?
You'd better call it "(triangulated) category of singularities". Not to confuse with smoothness. |
Feb 7 |
answered | Cohomology for Grassmannian |
Jan 26 |
comment |
Does quasi-projective imply quasi-compact (in the Zariski topology)?
@QiaochuYuan sure, that's actually a criterion. Thank you for the term though, have never heard of this one. |
Jan 26 |
comment |
Does quasi-projective imply quasi-compact (in the Zariski topology)?
@HugoChapdelaine no problem, happens to all of us |
Jan 26 |
answered | Does quasi-projective imply quasi-compact (in the Zariski topology)? |
Jan 26 |
comment |
Grothendieck group of intersection of quadrics
I personally don't see any problem here. As far as I'm concerned, an intersection of two even-dimensional quadrics has odd dimension. |
Jan 26 |
comment |
Grothendieck group of intersection of quadrics
The decomposition you mention is due to Bondal and Orlov, not just Orlov. |
Jan 21 |
comment |
Can any curve be embedded into $\mathbb{P}^3$?
No. You always have a lower bound based on the dimension of the tangent space at any point. |
Jan 14 |
answered | The Existence of Pure Resolutions, Given a Degree Sequence? |
Jan 12 |
awarded | Yearling |
Jan 11 |
revised |
Compare global sections of restriction and pullback of sheaves
added 61 characters in body |