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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