3 citations · 5 across the 3 of their papers we have counts for
5 papers
Weighted theory for the Euclidean Dirac operator in higher dimensions
Guangbin Ren, Yuchen Zhang
We study weighted solvability for the Euclidean Dirac operator in dimensions . We prove that, on the exterior domain with…
On isolated singularities with noninvertible finite endomorphism
Yuchen Zhang
We prove that if is a finite endomorphism of an isolated singularity such that and is étale in codimension 1, then is $\mat…
On the generic vanishing theorem of Cartier modules
Alan Marc Watson, Yuchen Zhang
We generalize the Generic Vanishing theorem by Hacon and Patakfalvi in the spirit of Pareschi and Popa. We give several examples illustrating the pathologies appearing in the posit…
On the Volume of Isolated Singularities
Yuchen Zhang
We give an equivalent definition of the local volume of an isolated singularity Vol_{BdFF}(X,0) given in [BdFF12] in the Q-Gorenstein case and we generalize it to the non-Q-Gorenst…
Pluri-canonical maps of varieties of maximal Albanese dimension in positive characteristic
Yuchen Zhang
We show that if X is a nonsingular projective variety of general type over an algebraically closed field k of positive characteristic and X has maximal Albanese dimension and the A…