User Zhaoting Wei

1 vote

0 answers

191 views

Why $D^b(S)\cong D^b_{\text{Car}}(\text{cosq}(X\rightarrow S))$?

asked Sep 27, 2014 at 19:49

1 vote

1 answer

283 views

How to define the internal hom between presheaves valued in cotensored categories?

asked Aug 16, 2015 at 3:13

1 vote

1 answer

247 views

Does a topological hypercover always have free degeneracies?

asked Aug 3, 2015 at 4:00

1 vote

0 answers

133 views

Does flatness morphisms between ringed spaces implies the direct image sheaf is flat?

asked Dec 11, 2020 at 3:45

1 vote

0 answers

200 views

How to compute the genus of the (singular) intersection of three quadratics in $\mathbb{C}P^4$?

asked Jan 8, 2021 at 20:03

1 vote

0 answers

89 views

Do we have $M\hat{\otimes}_A N\cong M\otimes_A N$ if $M$ is a finitely generated projective $A$-module over a nuclear Frechet algebra $A$?

asked Dec 19, 2019 at 4:09

1 vote

1 answer

241 views

Can we have a nontrivial division of a irreducible root system as $\Phi=\Phi_{[\lambda]}\cup \Phi_{[\mu]}$?

asked Sep 29, 2019 at 11:57

1 vote

0 answers

51 views

Do we have a $4$-term decomposition of $\bar{\partial}_M$ for a holomorphic fiber bundle $M\to B$?

asked May 14, 2018 at 1:02

1 vote

0 answers

57 views

Could we extend isomorphisms between cohomologies of h-injective complexes to h-injective complexes themselves?

asked Dec 31, 2018 at 16:34

0 votes

1 answer

211 views

When does the Kazhdan-Lusztig polynomial $P_{x,w}(q)$ not vanish at $q=1$?

asked Oct 4, 2019 at 17:34

0 votes

1 answer

177 views

Can we write $sl(4,\mathbb{C})$ as the vector space sum of two copies of $sl(3,\mathbb{C})$? [closed]

asked Oct 10, 2019 at 15:31

0 votes

0 answers

181 views

Is the inverse of the criterion of fully-faithfulness of derived tensor product also true?

asked Jul 27, 2016 at 13:54

0 votes

1 answer

166 views

Can we always extend a vector bundle on an open subset of a ringed space with soft structure sheaf?

asked Apr 5, 2016 at 17:52

0 votes

0 answers

116 views

Is the pull back of a compact generator under field extension again a compact generator?

asked Aug 1, 2016 at 13:06

0 votes

0 answers

294 views

What is the support of a coherent sheaf on $X\times Y$ if it is invariant by tensoring a very ample line bundle on $X$?

asked Dec 4, 2016 at 3:53

0 votes

1 answer

321 views

Is the kernel of a map between finite dimensional vector bundles still of finite type?

asked Nov 13, 2014 at 7:00

0 votes

1 answer

152 views

What is the cone of $\mathcal{F}\to i_i^\mathcal{F}$ for a divisor $i: D\hookrightarrow X$?

asked Jun 20, 2022 at 15:31

0 votes

0 answers

41 views

Is any deformation of an acyclic complex gauge equivalent to a trivial one?

asked Jun 26, 2023 at 4:22

Stack Exchange Network

168 Questions

Why $D^b(S)\cong D^b_{\text{Car}}(\text{cosq}(X\rightarrow S))$?

How to define the internal hom between presheaves valued in cotensored categories?

Does a topological hypercover always have free degeneracies?

Does flatness morphisms between ringed spaces implies the direct image sheaf is flat?

How to compute the genus of the (singular) intersection of three quadratics in $\mathbb{C}P^4$?

Do we have $M\hat{\otimes}_A N\cong M\otimes_A N$ if $M$ is a finitely generated projective $A$-module over a nuclear Frechet algebra $A$?

Can we have a nontrivial division of a irreducible root system as $\Phi=\Phi_{[\lambda]}\cup \Phi_{[\mu]}$?

Do we have a $4$-term decomposition of $\bar{\partial}_M$ for a holomorphic fiber bundle $M\to B$?

Could we extend isomorphisms between cohomologies of h-injective complexes to h-injective complexes themselves?

When does the Kazhdan-Lusztig polynomial $P_{x,w}(q)$ not vanish at $q=1$?

Can we write $sl(4,\mathbb{C})$ as the vector space sum of two copies of $sl(3,\mathbb{C})$? [closed]

Is the inverse of the criterion of fully-faithfulness of derived tensor product also true?

Can we always extend a vector bundle on an open subset of a ringed space with soft structure sheaf?

Is the pull back of a compact generator under field extension again a compact generator?

What is the support of a coherent sheaf on $X\times Y$ if it is invariant by tensoring a very ample line bundle on $X$?

Is the kernel of a map between finite dimensional vector bundles still of finite type?

What is the cone of $\mathcal{F}\to i_i^\mathcal{F}$ for a divisor $i: D\hookrightarrow X$?

Is any deformation of an acyclic complex gauge equivalent to a trivial one?