5 papers
Semiorthogonal indecomposability for Hilbert schemes of points on integral locally planar curves
Qingyuan Jiang, Xun Lin
Let be an integral projective curve of arithmetic genus with locally planar singularities over an algebraically closed field. We prove that for every , bot…
Modular variants of p-adic fundamental sequence
Heng Du, Qingyuan Jiang, Yucheng Liu
In this article, we relate any Farey triangle in the extended upper half-plane to a variant of Colmez--Fontaine's fundamental lemma in -adic Hodge theory. In particular, their o…
Instantons on the Blown-up Surface and the Affine Vertex Algebra
Qingyuan Jiang, Wei-Ping Li, Yu Zhao
We answer a long-standing question raised by Vafa--Witten on a relation between S-duality and conformal field theory, which related Yoshioka's blow-up formula and the WZW model for…
Abel maps for integral curves via a derived perspective
Qingyuan Jiang
We develop a general framework for Abel maps associated with a family of integral curves using derived algebraic geometry. For compactified Picard schemes, our approach yield…
Continuum envelopes on Fargues-Fontaine curves and elliptic curves
Heng Du, Qingyuan Jiang, Yucheng Liu
In this paper, we apply the theory of Bridgeland stability conditions, which was motivated by ideas from string theory, to study the derived category of coherent sheaves on Fargues…