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References for properties of a $K3$ surface

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#differential-geometry #algebraic-geometry #k3-surfaces
829
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Let $X$ be a K3 surface, show that $H_1(X,\mathbb Z)=0$

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#algebraic-geometry #surfaces #k3-surfaces
349
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Can a complex manifold that is not a Calabi-Yau manifold be homeomorphic to a Calabi-Yau manifold?

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#algebraic-geometry #complex-geometry #kahler-manifolds #complex-manifolds #k3-surfaces
196
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Is the Calabi-Yau property of a smooth manifold a differential invariant?

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#algebraic-geometry #complex-geometry #kahler-manifolds #complex-manifolds #k3-surfaces
81
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Any concrete example(s) of $K3$ surfaces with Picand number 18 and does not admit Shioda-Inose structure?

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#algebraic-geometry #k3-surfaces
224
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K3 coming from Enriques surface

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#algebraic-geometry #k3-surfaces
251
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blowing-up preserves the first Betti number?

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#algebraic-geometry #complex-geometry #blowup #k3-surfaces
248
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Kähler Potential on Blowup of $\mathbb{C}/\{\pm 1\}$

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#differential-geometry #complex-geometry #kahler-manifolds #k3-surfaces
64
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Completions of Stalks of a Surface

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#algebraic-geometry #k3-surfaces
133
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Global sections of a line bundle associated to a smooth irreducible curve on a K3 surface.

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#proof-verification #algebraic-geometry #divisors-algebraic-geometry #k3-surfaces
110
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Conics in a projective $K3$ surface

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#algebraic-geometry #complex-geometry #k3-surfaces
312
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Fibered surface has connected fibers

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#algebraic-geometry #schemes #k3-surfaces
135
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Ramanujan and Other Fields

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#soft-question #math-history #k3-surfaces
98
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Kummer suface ; the resolution has a holomorhic (2,0)-form .

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#complex-geometry #kahler-manifolds #complex-manifolds #holomorphic-bundles #k3-surfaces
91
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Kummer suface ; cohomology of the resolution

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#complex-geometry #kahler-manifolds #complex-manifolds #de-rham-cohomology #k3-surfaces

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