12 citations · 28 across the 13 of their papers we have counts for
4 papers · 1 filter
Unobstructedness of deformations of Calabi-Yau varieties with a line bundle
Shizhang Li, Xuanyu Pan
We generalize the Tian-Todorov Theorem in the case of Calabi-Yau varieties equipped with a line bundle.
Triviality and Split of Vector Bundles on Rationally Connected Varieties
Xuanyu Pan
In this paper, we give a simple proof of a triviality criterion due to I.Biswas and J.Pedro and P.Dos Santos. We also prove a vector bundle on a homogenous space is trivial if and…
Geometry of Rational Curves on Low degree Complete Intersections
Xuanyu Pan
For a smooth complete intersection X, we consider a general fiber \mathbb{F} of the evaluation map ev of Kontsevich moduli space \bar{M}_{0,m}(X,m)\rightarrow X^m and the forgetful…
Spaces of conics on low degree complete intersections
Xuanyu Pan
Let X be a smooth complete intersection. Suppose p and q are general points of X, we consider conics in X passing through p and q. We show the moduli space of these conics is a smo…