User Piotr Achinger

97 votes

Accepted

Serre's FAC in English

answered Feb 6, 2010 at 19:12

39 votes

Algebraic theorems with no known algebraic proofs

answered Nov 19 at 7:52

37 votes

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Massive cancellations

answered Nov 25, 2014 at 3:16

36 votes

What is the cotangent complex good for?

answered Sep 21, 2020 at 5:30

27 votes

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How to motivate constructible sheaves

answered May 2, 2021 at 20:25

27 votes

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Is there an algebraic geometry analogue of the closed graph theorem?

answered Nov 19, 2012 at 19:29

26 votes

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A theorem of M. Artin

answered Jul 20, 2017 at 12:09

25 votes

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Learning path for the proof of the Weil Conjectures

answered Nov 21, 2012 at 15:53

22 votes

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Intuitive pictures in characteristic p

answered Dec 20, 2012 at 10:46

19 votes

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Does every map from a noetherian ring to a valuation ring factor through a DVR?

answered Jun 10, 2022 at 14:51

18 votes

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Is every smooth projective variety contained in a chain of smooth projective varieties of increasing dimension?

answered Aug 10, 2022 at 8:32

17 votes

Why A. Weil considered elimination theory to be eliminated?

answered Oct 4, 2013 at 6:30

17 votes

Results relying on higher derived algebraic geometry

answered May 19, 2019 at 17:57

16 votes

Is there a geometric realization of $\mathbf{C}((t))$-varieties?

answered Dec 25, 2016 at 10:13

16 votes

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The main idea in the proof of Artin's vanishing

answered Oct 8, 2012 at 8:52

16 votes

What algorithm in algebraic geometry should I work on implementing?

answered Mar 16, 2010 at 23:27

15 votes

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Etale cohomology of localizations of henselian rings

answered Mar 10, 2018 at 12:44

15 votes

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Canonical lift of the deformation of an ordinary abelian variety

answered Feb 3, 2021 at 15:37

14 votes

Examples of mathematical theories that are naturally written in exotic logics

answered Nov 12 at 6:03

12 votes

Deformations of Calabi-Yau manifolds

answered Mar 25, 2018 at 17:00

12 votes

Beauville-Laszlo for schemes

answered Sep 15, 2019 at 18:32

11 votes

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Pushforward of line bundle under "toric isogeny"

answered Nov 17, 2015 at 20:50

11 votes

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Complete the following sequence: point, triangle, octahedron, . . . in a dg-category

answered Apr 19, 2016 at 8:39

11 votes

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Soft question: beginners reference to moduli spaces

answered Oct 5, 2014 at 19:51

11 votes

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Are quotients of affine schemes by finite groups faithfully flat?

answered Jun 5, 2014 at 2:09

11 votes

Vector Bundles on normal surfaces

answered Nov 14, 2012 at 0:19

11 votes

Étale fundamental group of rigid analytification

answered Jan 20, 2022 at 10:40

10 votes

Embedding torsors of elliptic curves into projective space

answered Nov 23, 2021 at 22:03

10 votes

Accepted

meaning of normalization

answered Dec 28, 2012 at 22:13

10 votes

Accepted

Moduli 'space' of stacks?

answered Jun 19, 2018 at 7:48

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187 Answers

Serre's FAC in English

Algebraic theorems with no known algebraic proofs

Massive cancellations

What is the cotangent complex good for?

How to motivate constructible sheaves

Is there an algebraic geometry analogue of the closed graph theorem?

A theorem of M. Artin

Learning path for the proof of the Weil Conjectures

Intuitive pictures in characteristic p

Does every map from a noetherian ring to a valuation ring factor through a DVR?

Is every smooth projective variety contained in a chain of smooth projective varieties of increasing dimension?

Why A. Weil considered elimination theory to be eliminated?

Results relying on higher derived algebraic geometry

Is there a geometric realization of $\mathbf{C}((t))$-varieties?

The main idea in the proof of Artin's vanishing

What algorithm in algebraic geometry should I work on implementing?

Etale cohomology of localizations of henselian rings

Canonical lift of the deformation of an ordinary abelian variety

Examples of mathematical theories that are naturally written in exotic logics

Deformations of Calabi-Yau manifolds

Beauville-Laszlo for schemes

Pushforward of line bundle under "toric isogeny"

Complete the following sequence: point, triangle, octahedron, . . . in a dg-category

Soft question: beginners reference to moduli spaces

Are quotients of affine schemes by finite groups faithfully flat?

Vector Bundles on normal surfaces

Étale fundamental group of rigid analytification

Embedding torsors of elliptic curves into projective space

meaning of normalization

Moduli 'space' of stacks?