Olivier Benoist's user avatar
Olivier Benoist's user avatar
Olivier Benoist's user avatar
Olivier Benoist
  • Member for 13 years, 1 month
  • Last seen this week
86 votes
Accepted

Is there a complex surface into which every Riemann surface embeds?

24 votes
Accepted

Kodaira dimension of symmetric products of curves

23 votes

Class number measuring the failure of unique factorization

22 votes
Accepted

Rational solutions of the Fermat equation $X^n+Y^n+Z^n=1$

18 votes
Accepted

A line bundle that does not admit a G-linearisation

17 votes
Accepted

Do varieties with ample canonical bundle have finite automorphism group in small characteristic?

16 votes
Accepted

Is an algebraic space over a DVR, whose special fibre and generic fibre are schemes, actually a scheme?

15 votes
Accepted

On condition when the push-forward of coherent sheaf is locally free

15 votes
Accepted

Characteristic zero and characteristic $p$ in algebraic geometry

14 votes
Accepted

Blow up along codimension one closed subscheme

14 votes
Accepted

Bialynicki-Birula decomposition of a non-singular quasi-projective scheme.

13 votes
Accepted

injectivity of the pull-back via a finite map

12 votes
Accepted

Is there a connected $k$-group scheme $G$ such that $G_{red}$ is not a subgroup?

12 votes
Accepted

Counter-example to faithfully flat descent

11 votes

Finite map from quasi-projective variety

10 votes
Accepted

Localizing at the primitive polynomials?

10 votes
Accepted

Parameter space for complete intersections and their discriminant

10 votes
Accepted

Complex structures on a K3 surface as a hyperkähler manifold

10 votes

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

10 votes
Accepted

When is a submanifold of $\mathbf R^n$ given by global equations?

9 votes
Accepted

Closed points of field extension of k-scheme under projection

9 votes
Accepted

A question on infinitely many closed points on a smooth projective variety and their behavior under embeddings

9 votes

flatness criterion on normal bases

9 votes

Spectrum and scheme of the commutative group-algebra of an abelian group.

9 votes
Accepted

Is reflexivity an open condition?

8 votes

Existence of points on varieties which avoid a given number field.

8 votes
Accepted

Hn(X, OX) = 0 for X birational to a regular affine variety?

8 votes
Accepted

Irreducible divisors containing an arbitrary closed set

7 votes
Accepted

Secant variety of an irreducible non-degenerate projective curve

7 votes
Accepted

Can a non-trivial action of a connected group on a reduced scheme be trivial on a dense open?