52

Answers

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3

eigen-bundles of a trivial vector bundle

0

C^*-equivariant modules on a vector bundle vs graded modules on the pushforward.

1

Is the pushforward via a proper map of a finite presentation module of finite presentation?

5

Are injective quasi-coherent modules acyclic?

11

Is $H^i(X,F)$ finitely generated over $\Gamma(O_X)$ if $F$ is coherent?

1

Direct image sheaf and tensor product (is the projection formula an isomorphism?)

3

flatness condition for local noetherian ring without nilpotent elements

2

Non-finitely-generated module is union of countable chain?

4

Infinite products of representations of the additive group

5

Is a reduced, torsion-free module of finite rank over an Henselian ring free?

8

Why is the identity element of a group denoted by $e$?

3

Criterions for Reflexiveness of sheaves and a special case

6

Ultraproduct $\prod_p \mathbb{F}_p/\sim$ and $\mathbb{Q}^*$

5

References to SGA 8 and descent theory

6

degree 0 vector bundles

2

not locally of finite type implies not universally closed?

2

Proper morphism sending coherent to coherent

1

affine morphism

1

some question about base extension

19

Affine scheme on spec(A) of a ring A as the sheafification of a pre-sheave on spec(A)?

1

Does isomorphisms of sheaf of holomorphic sections implies isomorphisms of two holomorphic vector bundles over the same complex space ?

1

Question about affine open covering

3

Modules of finite support

7

Does a regular pair of elements in a noetherian domain remain regular if their order is switched?

6

Do the solutions to the unit equation lie dense in the complex numbers

0

Closed immersion into (relative) projective bundle.

9

For any $n$, does there exist a number field with at least $n$ solutions to the unit equation

4

Cohomology of fixed point subspaces

4

Quotient of flat module is flat - a property in Mumford’s Red book

3

Filtrant (not necessarily totally ordered) projective system commuting with direct sums