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naf
  • Member for 14 years, 5 months
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29 votes
Accepted

Is every algebraic smooth hypersurface of affine space parallelizable?

28 votes
Accepted

Why does the Section Conjecture exclude curves of genus 1?

27 votes

Simplest examples of nonisomorphic complex algebraic varieties with isomorphic analytifications

22 votes

Can one find the hodge number by counting points over finite fields?

17 votes
Accepted

Does isomorphic generic fibre imply isomorphic special fibre for smooth morphisms?

16 votes
Accepted

Embedding number fields in fields with class number 1

16 votes
Accepted

Brauer group of projective space

14 votes

Number of $(-1)$ curves on toric surfaces

14 votes
Accepted

normal crossing divisor v.s. strict normal crossing divisor

14 votes
Accepted

When does a bijective morphism of schemes induce an isomorphism of Hodge structures?

14 votes
Accepted

Example where you *need* non-DVRs in the valuative criteria

14 votes

The Jouanolou trick

14 votes

Which curves can be found on Abelian varieties?

14 votes

Is the group of integer points on a finite-type group scheme over Z finitely presented?

13 votes
Accepted

Motivation behind Kac's notation for affine root systems

12 votes
Accepted

Is every algebraic extension of a field of absolute transcendence degree one a separable extension of a purely inseparable extension?

12 votes
Accepted

Can proper-smooth base change be used to show that varieties cannot be lifted to characteristic zero?

12 votes
Accepted

Picard group of $\mathcal{M}_{0,n}$

12 votes

Invariant differential forms on commutative group schemes are closed!?

12 votes
Accepted

Genus of smooth varieties with small Chow group

12 votes
Accepted

Rational points on smooth compactifications

11 votes
Accepted

Picard groups of (fiber) products

11 votes
Accepted

Galois groups at closed points from Galois group at generic point?

11 votes
Accepted

Are there known cases of the Mumford–Tate conjecture that do not use Abelian varieties?

11 votes
Accepted

Is the direct image of the structure sheaf on X isomorphic to the structure sheaf on Y when X->Y is flat and proper with connected fibers between smooth schemes over an algebraically closed field?

10 votes

How would a motivic proof of the Riemann hypothesis over finite fields go?

10 votes

Obstructions to being a hyperplane section or a fibre of a Lefschetz pencil

10 votes

Does the derived category of coherent sheaves determine the hodge theory?

10 votes
Accepted

Smooth projective varieties with infinite abelian fundamental group and finite $\pi_2$

10 votes
Accepted

Extending a vector bundle to a torsion free sheaf