216

Answers
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21
Reason for studying coherent sheaves on complex manifolds.
3
When does the sheaf cohomology of a topological space vanish?
14
Existence of non-split vector bundles on smooth projective varieties
11
Urge/reason for inventing interior product ( Grassmann algebra )
37
Fundamental problems whose solution seems completely out of reach
28
Not especially famous, long-open problems which anyone can understand
4
Geometric interpretation of the exact sequence for the cotangent bundle of the projective space
32
Examples of conjectures that were widely believed to be true but later proved false
12
Henselization of a local ring
8
Reference for the converse of Cartan’s Theorem B
19
A geometric characterization for arithmetic genus
15
Is the tensor product of a power series ring and a field noetherian?
9
Chern classes of a blow-up at a point
4
Direct summands of direct sum of line bundles on projective varieties
18
Applications of Zariski topology outside alg. geometry
11
Are Banach Manifolds intrinsically interesting?
17
explanation on a scheme which is not affine scheme
0
Line bundles with complex connection
4
Two Definitions of “Character” of topological groups
7
Coherent Sheaves on Noetherian schemes
5
Two implicit references in Serre’s *Groupes de Galois : le cas abélien*
4
Are all Finite Subsets of Affine n-space Algebraic sets, and related question
8
Explicit way to construct simple complex tori/abelian varieties of dimension at least 2
15
Prime ideals in the ring of germs of continuous functions
4
Is there an axiomatic approach of the notion of dimension ?
17
Textbook for Etale Cohomology
5
Does isomorphisms of sheaf of holomorphic sections implies isomorphisms of two holomorphic vector bundles over the same complex space ?
10
What is the “strongest” non-local property of a ring/module that is true of all localizations at maximal ideals?
10
Is the degree of a finite morphism stable by base change
7
Grothendieck group for projective space over the dual numbers
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