Algebraic Geometry Seminar

Seminar information archive ~05/02Next seminarFuture seminars 05/03~

Date, time & place Friday 13:30 - 15:00 118Room #118 (Graduate School of Math. Sci. Bldg.)
Organizer(s) GONGYO Yoshinori, KAWAKAMI Tatsuro, ENOKIZONO Makoto

2018/11/20

15:30-17:00   Room #122 (Graduate School of Math. Sci. Bldg.)
Nakkajima Yukiyoshi (Tokyo Denki University)
Artin-Mazur height, Yobuko height and
Hodge-Wittt cohomologies

[ Abstract ]
A few years ago Yobuko has introduced the notion of
a delicate invariant for a proper smooth scheme over a perfect field $k$
of finite characteristic. (We call this invariant Yobuko height.)
This generalize the notion of the F-splitness due to Mehta-Srinivas.

In this talk we give relations between Artin-Mazur heights
and Yobuko heights. We also give a finiteness result on
Hodge-Witt cohomologies of a proper smooth scheme $X$ over $k$
with finite Yobuko height. If time permits, we give a cofinite type result on
the $p$-primary torsion part of Chow group of of $X$
of codimension 2 if $\dim X=3$.