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- Pennsylvania State UniversityUS549 papers
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179 papers · 1 filter
Centers of perfectoid purity
Anne Fayolle
We introduce a mixed characteristic analog of log canonical centers in characteristic and centers of -purity in positive characteristic, which we call centers of perfectoid…
Boundedness of complements for log Calabi-Yau threefolds
Guodu Chen, Jingjun Han, Qingyuan Xue
In this paper, we study the theory of complements, introduced by Shokurov, for Calabi-Yau type varieties with the coefficient set . We show that there exists a finite set of…
On tame ramification and centers of -purity
Javier Carvajal-Rojas, Anne Fayolle
We introduce a notion of tame ramification for general finite covers. When specialized to the separable case, it extends to higher dimensions the classical notion of tame ramificat…
Uniform rational polytopes of foliated threefolds and the global ACC
Jihao Liu, Fanjun Meng, Lingyao Xie
In this paper, we show the existence of uniform rational lc polytopes for foliations with functional boundaries in dimension . As an application, we prove the global ACC fo…
Quantum K-invariants and Gopakumar-Vafa invariants II. Calabi-Yau threefolds at genus zero
You-Cheng Chou, Y. -P. Lee
This is the second part of our ongoing project on the relations between Gopakumar-Vafa BPS invariants (GV) and quantum K-theory (QK) on the Calabi--Yau threefolds (CY3). We show th…
Complements, index theorem, and minimal log discrepancies of foliated surface singularities
Jihao Liu, Fanjun Meng, Lingyao Xie
We present an extension of several results on pairs and varieties to foliated surface pairs. We prove the boundedness of local complements, the local index theorem, and the uniform…