16 citations · 17 across the 4 of their papers we have counts for
5 papers
Pseudonorms and p-adic birational Torelli theorem
Chen-Yu Chi
A p-adic analogue of the pseudonorm version of the birational Torelli type theorem is obtained via a comparison theorem of image closures. Among other results obtained, we have a c…
On the extension of holomorphic sections from reduced unions of strata of divisors
Chen-Yu Chi
In this paper we study the problem of extension of holomorphic sections of line bundles/vector bundles from reduced unions of strata of divisors. An extension theorem of Ohsawa--Ta…
On the Toda systems of VHS type
Chen-Yu Chi
We consider the Toda systems of VHS type with singular sources and provide a criterion for the existence of solutions with prescribed asymptotic behaviour near singularities. We al…
Extensions of multiply twisted pluri-canonical forms
Chen-Yu Chi, Chin-Lung Wang, Sz-Sheng Wang
Given a projective variety X, a smooth divisor D, and semipositive line bundles (L_1,h_1),,...,(L_m,h_m), we consider the "multiply twisted pluricanonical bundle" F:=m(K_X+D)+L_1+.…
A new geometric approach to problems in birational geometry
Chen-Yu Chi, Shing-Tung Yau
A classical set of birational invariants of a variety are its spaces of pluricanonical forms and some of their canonically defined subspaces. Each of these vector spaces admits a t…