Piotr Achinger

IMPAN

http://achinger.impan.pl

Assistant Professor at IMPAN

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Frobenius splitting and derived Cartier isomorphism

ag.algebraic-geometry characteristic-p asked Mar 21, 2011 at 15:05

mathoverflow.net

17 votes

Existence of non-split vector bundles on smooth projective varieties

ag.algebraic-geometry vector-bundles asked Mar 23, 2013 at 21:19

mathoverflow.net

16 votes

Homology classes of subvarieties of toric varieties

ag.algebraic-geometry toric-varieties at.algebraic-topology homology asked Sep 15, 2012 at 16:58

mathoverflow.net

15 votes

Why was it so difficult to define the relative de Rham-Witt complex?

ag.algebraic-geometry characteristic-p de-rham-witt asked Dec 16, 2013 at 9:02

mathoverflow.net

15 votes

Are deformations of a scheme some kind of a "derived gerbe" under the cotangent complex?

ag.algebraic-geometry deformation-theory gerbes cotangent-complex asked Feb 3, 2014 at 6:50

mathoverflow.net

15 votes

Zariski vs etale torsors over abelian varieties

ag.algebraic-geometry abelian-varieties etale-cohomology etale-covers torsors asked Dec 23, 2016 at 15:33

mathoverflow.net

15 votes

$\infty$-operads and $E_\infty$-algebras

ag.algebraic-geometry at.algebraic-topology homotopy-theory derived-algebraic-geometry higher-algebra asked Mar 29, 2018 at 10:31

mathoverflow.net

14 votes

(When) is isomorphism on differentials enough to guarantee that a map is étale?

ag.algebraic-geometry ac.commutative-algebra smoothness asked May 23, 2014 at 3:21

mathoverflow.net

13 votes

When does an $E_\infty$ algebra come from a commutative differential graded algebra?

at.algebraic-topology operads dg-algebras steenrod-algebra asked Mar 5, 2016 at 10:48

mathoverflow.net

13 votes

Fixed Point Property in Algebraic Geometry

ag.algebraic-geometry asked Mar 16, 2010 at 18:17

mathoverflow.net

Top Answers

Serre's FAC in English

mathoverflow.net

Massive cancellations

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What is the cotangent complex good for?

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

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A theorem of M. Artin

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Learning path for the proof of the Weil Conjectures

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Intuitive pictures in characteristic p

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How to motivate constructible sheaves

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

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

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Why A. Weil considered elimination theory to be eliminated?

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

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The main idea in the proof of Artin's vanishing

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Results relying on higher derived algebraic geometry

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Etale cohomology of localizations of henselian rings

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What algorithm in algebraic geometry should I work on implementing?

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Canonical lift of the deformation of an ordinary abelian variety

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Beauville-Laszlo for schemes

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Deformations of Calabi-Yau manifolds

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Can distinct morphisms between curves induce the same morphism on singular cohomology?

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

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Moduli 'space' of stacks?

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Étale fundamental group of rigid analytification

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Pushforward of line bundle under "toric isogeny"

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Vector Bundles on normal surfaces

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Are quotients of affine schemes by finite groups faithfully flat?

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Confusion about good reduction

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Soft question: beginners reference to moduli spaces

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Embedding torsors of elliptic curves into projective space

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Pushforward of invertible sheaf on $P^1$ by finite flat map

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