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arXiv · 1212.6799

Sextic variety as Galois closure variety of smooth cubic

Hisao Yoshihara
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Abstract

Let V be a nonsingular projective algebraic variety of dimension n. Suppose there exists a very ample divisor D such that D^n=6 and dim H^0(V, O(D))=n+3. Then, (V, D) defines a D_6-Galois embedding if and only if it is a Galois closure variety of a smooth cubic in P^{n+1} with respect to a suitable projection center such that the pull back of hyperplane of P^n is linearly equivalent to D.

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Hisao Yoshihara. 2012-12-31. Sextic variety as Galois closure variety of smooth cubic. https://arxiv.org/abs/1212.6799

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