Kentaro MITSUI 
Kentaro MITSUI
Department of Mathematics,
Graduate School of Science, Kobe University 
Division : Algebra
Assistant Professor 
Building B, Room 422

Research Field :
Algebraic fibrations of curves


Research Summary :
I study classification problems on algebraic varieties by fundamental invariants such as Kodaira dimensions and fundamental groups by the following methods: (1) separable quotients and inseparable quotients; (2) rigid analytic geometry (nonArchimedean analytic geometry and formal geometry) and arithmetic geometry.


Primary Publications : 

Quotient singularities of products of two curves, to appear in Ann. Inst. Fourier.
 Frobenius base change of torsors, J. Pure Appl. Algebra,
223(2019), no. 2, 553570.
 Models of torsors under elliptic curves,
PMB Algèbre et Théorie des Nombres,
2017/1(2017), 79108.
 The direct image sheaf f_{*}(O_{X}) (with Iku Nakamura),
Tokyo J. Math.,
39(2017), no. 3, 777782.
 Canonical bundle formula and base change,
J. Algebraic Geom.,
25(2016), no. 4, 775814.
 Growth of critical points of onedimensional lattice systems (with Masayuki Asaoka, Tomohiro Fukaya, and Masaki Tsukamoto), J. Anal. Math.,
127(2015), no. 1, 4768.
 Homotopy exact sequences and orbifolds,
Algebra Number Theory,
9(2015), no. 5, 10891136.
Errata
 On a question of Zariski on Zariski surfaces,
Math. Z.,
276(2014), no. 12, 237242.
 Logarithmic transformations of rigid analytic elliptic surfaces,
Math. Ann.,
355(2013), no. 3, 11231170.
 Bimeromorphic geometry of rigid analytic surfaces,
Int. J. Math.,
22(2011), no. 4, 483513.


