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arxiv: 1708.05967 · v1 · pith:D626KCCSnew · submitted 2017-08-20 · 🧮 math.AT · math.AG· math.GT

A canonical basis of two-cycles on a K3 surface

classification 🧮 math.AT math.AGmath.GT
keywords canonicalbasisformsurfacetwo-cyclesbasicconstructelements
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We construct a canonical basis of two-cycles, on a $K3$ surface, in which the intersection form takes the canonical form $2E_8(-1) \oplus 3H$. The basic elements are realized by formal sums of smooth submanifolds.

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