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Effective bounds on ampleness of cotangent bundles. (arXiv:1810.07666v1 [math.AG])
来源于:arXiv
We prove that a general complete intersection of dimension $n$, codimension
$c$ and type $d_1, \dots, d_c$ in $\mathbb{P}^N$ has ample cotangent bundle if
$c \geq 2n-2$ and the $d_i$'s are all greater than a bound that is $O(1)$ in
$N$ and quadratic in $n$. This degree bound substantially improves the
currently best-known super-exponential bound in $N$ by Deng, although our
result does not address the case $n \leq c < 2n-2$. 查看全文>>