Existence of good divisors on Mukai varieties

Abstract

A Mukai variety is a Fano n-fold of index n-2. In this paper we study the fundamental divisor of a Mukai variety with at worst log terminal singularities. The main result is a complete classification of log terminal Mukai varieties which have not good divisors, examples of "bad" varieties are given. In such a way we also give a shorter proof of Mukai Conjecture, solved in our previous paper alg-geom/9611024.

LaTex, 10 pages, nofig

References in corpus (2)

• Existence of good divisors on Mukai manifolds
• On the existence of good divisors on Fano varieties of coindex 3

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