activity
19962026
most citedExplicit birational geometry of 3-folds and 4-folds of general type, III

24 citations · 96 across the 32 of their papers we have counts for

collaborators

33 papers

math.AG2026

Deformation of pairs of and hypersurfaces

Jungkai Chen, Yongnam Lee, Phin-Sing Soo

Motivated by DeVleming's work on moduli of surfaces in and Chen-Hu-Jiang's work on moduli of threefolds with volume and geometric genus , we study the deforma…

math.AG2024

On the divisorial contractions to curves of threefolds

Hsin-Ku Chen, Jheng-Jie Chen, Jungkai A. Chen

We prove that each divisorial contraction to a curve between terminal threefolds is a weighted blow-up under a suitable embedding. Moreover, we give a classification of the weighte…

math.AG2022

On the Kawaguchi--Silverman Conjecture for birational automorphisms of irregular varieties

Jungkai Alfred Chen, Hsueh-Yung Lin, Keiji Oguiso

We study the main open parts of the Kawaguchi--Silverman Conjecture, asserting that for a birational self-map of a smooth projective variety defined over $\overline{\mathbb…

math.AG2021

On higher dimensional extremal varieties of general type

Purnaprajna Bangere, Jungkai Alfred Chen, Francisco Javier Gallego

Relations among fundamental invariants play an important role in algebraic geometry. It is known that an -dimensional variety of general type with nef canonical divisor and cano…

math.AG2019★ 7 cited

Addendum to "The Noether inequality for algebraic threefolds"

Jungkai Chen, Meng Chen, Chen Jiang

In this short note, we give a refinement of our previous work (arXiv:1803.05553) stating that for a projective -fold of general type with either or $p_g(X)\ge…

math.AG2019★ 8 cited

On quint-canonical birationality of irregular threefolds

Jheng-Jie Chen, Jungkai Alfred Chen, Meng Chen +1

Let be a complex smooth projective threefold of general type. Assume . We show that the -canonical map of is birational for all .