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1996•arXiv (Cornell University)Open access

On the existence of good divisors on Fano varieties of coindex 3

Yuri Prokhorov

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Abstract

We prove that the linear system $|-1/3K_X| on a non-singular Fano fivefold $X$ of index 3 contains an irreducible divisor with only canonical singularities.

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We prove that the linear system $|-1/3K_X| on a non-singular Fano fivefold $X$ of index 3 contains an irreducible divisor with only canonical singularities.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We prove that the linear system $|-1/3K_X| on a non-singular Fano fivefold $X$ of index 3 contains an irreducible divisor with only canonical singularities.

Key concepts: Fano plane, Divisor (algebraic geometry), Gravitational singularity, Mathematics, Pure mathematics, Index (typography), Combinatorics, Mathematical analysis

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