Author

Wen Chang

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Preprint Jul 2026

Sharp Bounds for Totally Invariant Cycles of Projective Varieties

Let $X$ be a smooth projective variety, $f:X\to X$ an int-amplified endomorphism, and $L$ any ample line bundle on $X$. We prove that, in every codimension, the total degree of prime cycles that become totally invariant under an iterate of $f$ satisfies an explicit Hilbert-function bound on their total $L$-degree. In p...

Wen Chang, Yujie Luo · 2 citations