214

Answers

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1

Terminology: complex of sheaves with cohomology sheaves concentrated in degree zero

4

Bondal counter example to the Jordan-Holder property in derived categories

2

Are all Equivariant Bundles of a Total Flag Manifold Constructable from Line Bundles?

6

Derived equivalence of two varieties which are isomorphism over certain open subvarieties

2

Commutativity of nilpotents in minuscule case

4

Flatness and tensor product of rings

3

Are these two definitions of $\mathcal{O}(1)$ over a ruled surface closely related?

1

Locally free resolution of sheaves on finite group quotient

2

Resolutions of higher-dimensional Kummer varieties

6

cohomology of exterior powers of tangent bundle

1

Additive functors and Derived Categories

2

How to define intersection of coherent sheaf and 1-cycle?

7

Exterior and symmetric powers of external tensor products of representations

1

is the orthogonal complement of a saturated sequence saturated?

3

A statement for a subset generated a triangulated category

5

How much of a variety can be reconstructed from codimension-zero data?

0

Stability of $T_{\mathbb{P}^2}$ and $\Omega_{\mathbb{P}^2}$?

2

Curvilinear subschemes and Ext functors.

3

Is this an embedding of $S^{[2]}$?

4

Calculate $Hom$ in derived category

3

Compact generator of $D(\mathbb{P}^1)$

1

Invariant subbundles of tangent bundle of flag variety

3

what are mutations of sheaves all about?

2

Toric Fano manifolds with Picard number 1

0

Normal bundle of a component of a reducible fiber

3

Example of locally complete intersection varieties which are not smooth and not complete intersection

15

Understanding Adjointness of Sheaves in Algebraic Geometry

3

Two quetions on complex geometry.

2

Zero-cohomology of birational varieties

6

Recovering an abelian category out of its derived category