Donu Arapura's user avatar
Donu Arapura's user avatar
Donu Arapura's user avatar
Donu Arapura
  • Member for 14 years, 1 month
  • Last seen this week
75 votes
Accepted

introductory book on spectral sequences

75 votes
Accepted

Vanishing cycles in a nutshell?

51 votes

Ways to prove the fundamental theorem of algebra

43 votes

How has modern algebraic geometry affected other areas of math?

39 votes

Why are local systems and representations of the fundamental group equivalent

33 votes

How to explain to an engineer what algebraic geometry is?

32 votes

What is the Zariski topology good/bad for?

32 votes

Proving Hodge decomposition without using the theory of elliptic operators?

32 votes

What does the Lefschetz principle (in algebraic geometry) mean exactly?

30 votes

A down-to-earth introduction to the uses of derived categories

30 votes
Accepted

Gabber's original proof of his purity theorem

29 votes
Accepted

What is the inverse image sheaf necessary for in algebraic geometry?

29 votes
Accepted

Non-compact complex surfaces which are not Kähler

28 votes

What is the difference between homology and cohomology?

27 votes
Accepted

A nice explanation of what is a smooth (l-adic) sheaf?

25 votes
Accepted

Computing fundamental groups and singular cohomology of projective varieties

25 votes
Accepted

Why should an algebraic geometer care about singular / simplicial (co)homology?

25 votes

Why does representing functors help solving Diophantine equations?

24 votes
Accepted

Why are Stein manifolds/spaces the analog of affine varieties/schemes in algebraic geometry?

24 votes

Work of ICM 2010 plenary speakers (and other humans)

24 votes

Motivating the de Rham theorem

24 votes

Fundamental groups of compact Kähler manifolds

24 votes

Work of plenary speakers at ICM 2014

23 votes

Quillen's motivation of higher algebraic K-theory

23 votes

de Rham vs Dolbeault Cohomology

23 votes

Extending vector bundles on a given open subscheme, reprise

23 votes

equivalence of Grothendieck-style versus Cech-style sheaf cohomology

23 votes

what mistakes did the Italian algebraic geometers actually make?

22 votes
Accepted

On polarized (pure) Hodge structures

22 votes
Accepted

Heuristics for the Hodge Conjecture

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