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location Moscow
age 25
visits member for 4 years, 6 months
seen May 25 at 18:10

May
13
comment Canonical (tautological) section of a family of sheaves
I actually quite enjoy your perspective.
May
12
answered Canonical (tautological) section of a family of sheaves
Jan
22
comment What is a Beilinson spectral sequence?
The general case is nicely stated in Christian Boening's paper mathematik.uni-bielefeld.de/documenta/vol-11/11.pdf
Jan
17
awarded  Enlightened
Jan
17
awarded  Nice Answer
Jan
16
comment Why do we need localization by Leftschetz motive?
I should point out that Borisov's counterexample does not prove Galkin-Shinder wrong. Actually, they need something less strong.
Jan
13
comment Moving a divisor on a (reducible, non-reduced) curve
This is really neat!
Dec
25
comment Triangulated category of singularities of quotient
The right term is "triangulated category of singularities"
Dec
24
comment Blow-ups of $\mathbb{P}^{n-3}$ and $(\mathbb{P}^1)^{n-3}$
I like the trick with moving "extra" points, but it would still be nice to have a purely geometric construction.
Dec
18
answered On understanding Orlov's LG B model
Dec
8
comment Properties of finite quotients of quasi-projective varieties
@Sasha Isn't $X/G$ always the categorical quotient in the quasi-projective case?
Nov
30
comment Cartier divisor on a double cover
@LiYutong If you double this line, it's by no means equivalent to $\pi^*D$.
Nov
21
answered Hartshorne Proposition III 8.1
Nov
18
awarded  Yearling
Oct
8
comment Soft question: beginners reference to moduli spaces
The book is indeed a brother of "Methods of Homological Algebra: Vol. II". Well, we still have drafts and, say, Behrend's lectures mentioned by Piotr.
Oct
8
comment Lower semicontinuity of naive fiber size
This is not hard an is a typical Shafarevich-style argument. A tiny improvement to the algebraic counterpart is to state explicitly that given a normal domain $A$ and a finite extension $L$ of its field of fractions $K$ an element $u\in L$ is integral over $A$ iff its minimal polynomial is defined over $A$ (in particular, it exists). Of course, this is essentially Lemma 1.
Oct
8
comment About $\mathbb P^1_\mathbb C$ contained in a surface
I'd say that your last paragraph is much more illuminating than doing things explicitly.
Sep
26
answered Spec of an injective ring map contains minimal primes in its image?
Sep
26
comment pencil of quadrics consisting of singular quadrics
@MartinBright As far as I remember, Miles's brilliant thesis deals with the smooth case (allowing only the simplest cones).
Sep
26
answered pencil of quadrics consisting of singular quadrics