Yen-An Chen

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20242026

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4 papers · 1 filter

math.AG2026

Boundedness of polarized foliated surfaces

Yen-An Chen, Minzhe Zhu

We establish the minimal model program for klt adjoint foliated surfaces and use it to study the boundedness of polarized adjoint foliated surfaces. We prove that $ε$ -lc adjoint fo…

math.AG2026

On slope unstable Fano varieties

Yen-An Chen, Ching-Jui Lai

For Fano varieties, significant progress has been made recently in the study of $K$ -stability, while the understanding of the weaker but more algebraic concept of $(- K)$ -slope stab…

math.AG2025

Boundedness of toric foliations

Chih-Wei Chang, Yen-An Chen

We discuss boundedness of toric Fano foliations and connectedness of its dicritical and singular loci. Moreover, we show the set of interpolated $δ$ -lcts for the toric foliations s…

math.AG2024

Existence of complements for foliations

Yen-An Chen, Dongchen Jiao, Pascale Voegtli

This paper demonstrates the existence of $Q$ -complements for algebraically integrable log-Fano foliations on klt ambient varieties. Additionally, we investigate properties…