科研之友
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摘要
Let X subset of P-4 be a terminal factorial quartic 3-fold. If X is non-singular, X is birationally rigid, i.e. the classical MMP on any terminal Q-factorial projective variety Z birational to X always terminates with X. This no longer holds when X is singular, but very few examples of non-rigid factorial quartics are known. In this article, we first bound the local analytic type of singularities that may occur on a terminal factorial quartic hypersurface X subset of P-4. A singular point on such a hypersurface is either of type cA(n) (n >= 1), or of type cD(m) (m >= 4), or of type cE(6), cE(7) or cE(8). We first show that if (P is an element of X) is of type cA(n), n is at most 7, and if (P is an element of X) is of type cD(m), m is at most 8. We then construct examples of non-rigid factorial quartic hypersu
- 出版日期2016-5
