发表机构
School of Mathematics, Sun Yat-sen University（中山大学数学学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
针对n≥2的Q-因子ε-lc弱Fano簇，证明了满足特定系数约束的川又-宫冈型不等式，丰富了代数几何中Fano簇的相关理论。
AI 中文摘要
设X为n维（n≥2）Q-因子ε-lc弱Fano簇，其中0<ε≤1为实数，则存在川又-宫冈型不等式：c₁(X)ⁿ ≤ [2(1+ε)/ε]·ĉ₂(X)·c₁(X)ⁿ⁻²。
英文摘要
Let $X$ be an $ε$-lc projective variety of dimension $n\geq 2$ such that $-K_X$ is nef and $0<ε\leq 1$ is a real number. Then for any nef divisors $D_1,\dots,D_{n-2}$, \[ c_1(X)^{2}\cdot D_1\cdots D_{n-2}\leq \frac{2(1+ε)}ε\,\hat c_2(X)\cdot D_1\cdots D_{n-2}. \] In particular, there exists a Kawamata--Miyaoka type inequality \[ c_1(X)^n\leq \frac{2(1+ε)}ε\,\hat c_2(X)\cdot c_1(X)^{n-2}. \]
Comments8 pages, comments are welcome! v2: 10 papges, a more general inequality. v3: 16 pages, we add some applications
