34 citations · 150 across the 29 of their papers we have counts for
30 papers
Isotrivial smooth curves on surfaces
Xi Chen, Frank Gounelas
We prove that a smooth projective non-uniruled surface of Picard rank one, generated by an ample and base point free line bundle, cannot be covered by an isotrivial family of smoot…
When is the diagonal contractible?
Xi Chen, Frank Gounelas
For a smooth projective complex variety , we study the problem of when there exists a birational morphism to a projective variety contracting the diagonal $…
Trigonal Canonically Fibered Surfaces
Houari Benammar Ammar, Xi Chen, Nathan Grieve
We fix some gaps of a proof of Xiao's conjecture on canonically fibered surfaces of relative genus 5 by the second author. Our argument simplifies the original proof and gives a mu…
Severi Varieties on Ruled Surfaces over Elliptic Curves
Xiaotian Chang, Xi Chen, Adrian Zahariuc
We proved that the general members of Severi varieties on an Atiyah ruled surface over a general elliptic curve have nodes and ordinary triple points as singularities.
Coefficientwise total positivity of some matrices defined by linear recurrences
Xi Chen, Bishal Deb, Alexander Dyachenko +2
We exhibit a lower-triangular matrix of polynomials in six indeterminates that appears empirically to be coefficientwise totally positive, and which includes as a…
The Semiclassical Resolvent on Conic Manifolds and Application to Schrödinger Equations
Xi Chen
In this article, we shall construct the resolvent of Laplacian at high energies near the spectrum on non-product conic manifolds with a single cone tip. Microlocally, the resolvent…