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Cusps and Codes

Wolf P. Barth, Slawomir Rams

math.AGarXiv:math/0403018

Abstract

We study a construction, which produces surfaces Y ⊂ P3 with cusps. For example we obtain surfaces of degree six with 18, 24 or 27 three-divisible cusps. For sextic surfaces in a particular family of up to 30 cusps the codes of these sets of cusps are determined explicitly.

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