arXiv subjects

Xi-Chuan Tan

Publications and source records attributed to Xi-Chuan Tan.

2 recordsLinked to original sources

arXiv2026

A construction of vertex algebra bundles on logarithmic smooth curves

We present a construction of vertex algebra bundles and spaces of conformal blocks over families of logarithmic smooth curves. This work generalizes some earlier results by Frenkel and Ben-Zvi on vertex algebra bundles over complex smooth algebraic curves. We establish a weaker version of the propagation of vacua, and compute the space of conformal blocks over a typical example of a nodal curve.

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arXiv2025

(Log) Chiral de Rham complex and $A_n$-singular surfaces

We present a construction of the chiral de Rham complex over an algebraic surface with at most rational singularities of $A_n$-type. An explicit formula for the character of the chiral structure sheaf is also provided.

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