发表机构
KAIST（韩国科学技术院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对满足q(S)=0的光滑射影曲面，给出两类嵌套希尔伯特概型内法锥的拉回分解数值判据，复现部分经典曲面结果并推广至高次del Pezzo曲面，同时证明次数1的del Pezzo曲面不满足该分解。
AI 中文摘要
设S为满足q(S)=0的光滑射影曲面，本文给出S^{[n,n+1]}与S^{[1,n]}的内法锥可分解为自然态射下拉回内法锥之和的数值判据；该判据可复现射影平面、Hirzebruch曲面、皮卡秩1的K3曲面的已知分解，且适用于所有次数≥2的del Pezzo曲面；对次数为1的del Pezzo曲面，本文证明S^{[n,n+1]}与S^{[1,n]}的对应拉回分解均不成立。
英文摘要
Let $S$ be a smooth projective surface with $q(S)=0$. We give numerical criteria for the nef cones of $S^{[n,n+1]}$ and $S^{[1,n]}$ to decompose as sums of pullbacks of nef cones under their natural morphisms. These criteria recover the known decompositions for the projective plane, Hirzebruch surfaces, and Picard rank one K3 surfaces, and apply to del Pezzo surfaces with $2\le K_S^2\le7$. For a del Pezzo surface of degree one, we show that the corresponding pullback decompositions fail for both $S^{[n,n+1]}$ and $S^{[1,n]}$.
