7 citations · 10 across the 5 of their papers we have counts for
5 papers
Fourier-Mukai transforms and the decomposition theorem for integrable systems
Davesh Maulik, Junliang Shen, Qizheng Yin
We study the interplay between the Fourier-Mukai transform and the decomposition theorem for an integrable system . Our main conjecture is that the Fourier-Muka…
Relations in the tautological ring of the moduli space of K3 surfaces
Rahul Pandharipande, Qizheng Yin
We study the interplay of the moduli of curves and the moduli of K3 surfaces via the virtual class of the moduli spaces of stable maps. Using Getzler's relation in genus 1, we cons…
Cycles on curves and Jacobians: a tale of two tautological rings
Qizheng Yin
We connect two notions of tautological ring: one for the moduli space of curves (after Mumford, Faber, etc.), and the other for the Jacobian of a curve (after Beauville, Polishchuk…
Some remarks on modified diagonals
Ben Moonen, Qizheng Yin
We prove a number of basic vanishing results for modified diagonal classes. We also obtain some sharp results for modified diagonals of curves and abelian varieties, and we prove a…
Finite-dimensionality and cycles on powers of K3 surfaces
Qizheng Yin
For a K3 surface S, consider the subring of CH(S^n) generated by divisor and diagonal classes (with Q-coefficients). Voisin conjectures that the restriction of the cycle class map…