5 papers
On Subvarieties of Degenerations of Fano Varieties
Santai Qu
The goal of this work is to study geometric properties of geometrically irreducible subschemes on degenerations of Fano varieties (more generally, of separably rationally connected…
Pseudo-Néron Model and Restriction of Sections II, Generalization, Examples and Applications
Santai Qu
This is the continuation of the article by the author that proves a broader class of families admitting the theorem of restriction of sections other than Abelian varieties and give…
On Examples of Supersingular and Rationally Chain Connected Threefolds
Santai Qu
In this work, we show that for a certain class of threefolds in positive characteristics, rational-chain-connectivity is equivalent to supersingularity. The same result is known fo…
Pseudo-Néron Model and Restriction of Sections with an appendix by Jason Michael Starr
Santai Qu
We introduce the notion of pseudo-Néron model and give new examples of varieties admitting pseudo-Néron models other than Abelian varieties. As an application of pseudo-Néron model…
Parabolic metrics with conical singularities on compact Riemann surfaces
Santai Qu
In this paper, we prove the existence and uniqueness theorem for parabolic conical metrics on Riemann surfaces in the situation of generalized real angles, positive, zero and negat…