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user41650
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14 votes
2 answers
2k views

If the direct image of f preserves coherent sheaves on noetherian schemes, how to show f is proper?

12 votes
1 answer
452 views

Embedding of a derived category into another derived category

10 votes
2 answers
1k views

Does vanishing of cohomology of locally free sheaves imply affiness of scheme

8 votes
1 answer
309 views

rational effective implies effective?

5 votes
0 answers
226 views

How to prove a statement on weak del pezzo surface?

5 votes
0 answers
376 views

Reconstruction of noncommutative scheme

5 votes
2 answers
930 views

How to characterize flasque sheaves in more functorial way?

4 votes
0 answers
544 views

Euler characteristic, character of group representation and Riemann Roch theorem

4 votes
1 answer
247 views

Auto-equivalences of non-trivial components of derived category of $X_{18}$

3 votes
0 answers
360 views

What is the most useful rationality criterion of surfaces?

3 votes
0 answers
239 views

Are two versions of Kuznetsov components equivalent?

3 votes
2 answers
879 views

Homological smoothness implies projectivity?

3 votes
1 answer
162 views

Intersection graph of $(-1)$-class divisors on surface of general type

3 votes
1 answer
512 views

On non-unital ring and algebraic geometry

3 votes
0 answers
313 views

Categorical proof for Chavelley theorem on affiness of scheme

3 votes
0 answers
118 views

How to distinguish the singularities on moduli space?

2 votes
0 answers
188 views

Fibers of period map

2 votes
0 answers
144 views

Conics on Gushel-Mukai fourfold

2 votes
0 answers
129 views

Normal bundle of a Fano threefold as Brill-Noether loci

2 votes
0 answers
82 views

Cone of morphism in families

2 votes
0 answers
497 views

Gauss Manin connection in algebraic geometry and DG setting

2 votes
0 answers
139 views

Euler form on three-fold

2 votes
2 answers
227 views

Effectivity of $(-1)$-class on smooth projective surface

2 votes
0 answers
184 views

How to show that $X$ is covered by rational curves?

2 votes
1 answer
216 views

Does rational surface have exceptional collection of maximal length but not full?

2 votes
0 answers
235 views

Global section of line bundle on anti-canonical rational surface

2 votes
1 answer
193 views

The locus of lines intersecting with another fixed line on a Fano threefold

2 votes
0 answers
293 views

If there is no more than $k$ smooth rational curves on algebraic surface, what is the minimal value of k

2 votes
0 answers
193 views

Global Torelli and local Torelli for Fano threefolds (need reference)

2 votes
1 answer
181 views

Cohomology of normal bundle and tangent bundle on Gushel-Mukai threefold