Algebraic Geometry Seminar
Seminar information archive ~05/29|Next seminar|Future seminars 05/30~
Date, time & place | Friday 13:30 - 15:00 118Room #118 (Graduate School of Math. Sci. Bldg.) |
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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
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 dimX=3.
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 dimX=3.