论文标题
$ 2 n^2 $ -Inequality for $ ca_1 $ $点和申请给男性僵化
$2 n^2$-inequality for $cA_1$ points and applications to birational rigidity
论文作者
论文摘要
$ 4 n^2 $ -Inequality for Smooth Points在异性（超级）刚性的证明中起着重要作用。本文的主要目的是将这种不平等概括为$ ca_1 $的终端单数点，并获得$ 2 n^2 $ inequality，以$ ca_1 $ $点。 As applications, we prove birational (super)rigidity of sextic double solids, many other prime Fano 3-fold weighted complete intersections, and del Pezzo fibrations of degree $1$ over $\mathbb{P}^1$ satisfying the $K^2$-condition, all of which have at most terminal $cA_1$ singularities and terminal quotient singularities.这些给出了Biration（Super）刚性的Fano 3倍和Del Pezzo纤维的第一个例子，并承认$ CA_1 $点，这不是普通的双点。
The $4 n^2$-inequality for smooth points plays an important role in the proofs of birational (super)rigidity. The main aim of this paper is to generalize such an inequality to terminal singular points of type $cA_1$, and obtain a $2 n^2$-inequality for $cA_1$ points. As applications, we prove birational (super)rigidity of sextic double solids, many other prime Fano 3-fold weighted complete intersections, and del Pezzo fibrations of degree $1$ over $\mathbb{P}^1$ satisfying the $K^2$-condition, all of which have at most terminal $cA_1$ singularities and terminal quotient singularities. These give first examples of birationally (super)rigid Fano 3-folds and del Pezzo fibrations admitting a $cA_1$ point which is not an ordinary double point.
