List questions from k3-surfaces

Published on 06 Dec 2017 - 21:50

978

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Why is the rank of the Picard group of a K3 surface bounded above by 22?

Published on 26 Mar 2011 - 19:21

428

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K3 surface criteria

Published on 12 Jun 2011 - 16:32

234

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cohomology of $T_X$ on K3 surfaces

Published on 20 Nov 2012 - 16:22

1.1k

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Why the Picard group of a K3 surface is torsion-free

Published on 14 Dec 2012 - 20:44

617

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Where does this elliptic curve come from?

Published on 04 Jan 2013 - 4:32

1.3k

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Why are K3 surfaces minimal?

Published on 23 Jan 2013 - 1:00

301

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References request: Introduction to K3 surface.

Published on 20 Mar 2013 - 11:00

139

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Morphisms between K3 surfaces

Published on 07 Aug 2020 - 19:21

61

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Image of Kähler class of an octic K3 surface is primitive and satisfies $p(\kappa) \cdot p(\kappa) = 8$

Published on 06 Oct 2020 - 3:12

132

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Examples of a K3 surface in a product of $\mathbb P^1$'s

Published on 12 Nov 2020 - 1:10

164

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complete intersection in $\mathbb{P}^{n+2}$ as K3 surface

Published on 22 Nov 2020 - 15:10

175

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K3 surface is not the blow up of any other smooth surface.

Published on 10 May 2021 - 8:29

131

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Why the pencil of planes on quadric $Q\subset\mathbb{P}^4$ cuts out on cubic $V\subset\mathbb{P}^4$ a pencil of elliptic curves $|E|$?

Published on 15 May 2021 - 13:40

274

Views

Find an explicit quasi-smooth embedding $X_{38} \subset \mathbb P(5, 6, 8, 19)$

Published on 23 Feb 2026 - 8:28

List Question

Two questions on three quadrics in $P^5$ whose intersection is a genus $5$ K3 surface.

Why is the rank of the Picard group of a K3 surface bounded above by 22?

K3 surface criteria

cohomology of $T_X$ on K3 surfaces

Why the Picard group of a K3 surface is torsion-free

Where does this elliptic curve come from?

Why are K3 surfaces minimal?

References request: Introduction to K3 surface.

Morphisms between K3 surfaces

Image of Kähler class of an octic K3 surface is primitive and satisfies $p(\kappa) \cdot p(\kappa) = 8$

Examples of a K3 surface in a product of $\mathbb P^1$'s

complete intersection in $\mathbb{P}^{n+2}$ as K3 surface

K3 surface is not the blow up of any other smooth surface.

Why the pencil of planes on quadric $Q\subset\mathbb{P}^4$ cuts out on cubic $V\subset\mathbb{P}^4$ a pencil of elliptic curves $|E|$?

Find an explicit quasi-smooth embedding $X_{38} \subset \mathbb P(5, 6, 8, 19)$

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