| Language |
English
|
| From |
2012/02/06 10:30
|
| To |
2012/02/06 12:00
|
| Place | Room 152, Building No.3, Faculty of Science, Kyoto University |
| Seminar Name | Algebra Geometrical Seminar |
| Title |
Nontrivial algebraic cycles in the Jacobian varieties of some quotients of Fermat curves |
| Field |
Algebra
Geometry
|
| Speakers | Yuuki Tadokoro |
| Affiliation | Kisarazu National College of Technology |
| Abstract | B. Harris defined the harmonic volume of compact Riemann surfaces using
Chen's iterated integrals. We obtain the trace map images of the values of
certain harmonic volumes for some quotients of Fermat curves. These provide
the algorithm showing that the algebraic cycles called by Ceresa cycles are
not algebraically equivalent to zero in the Jacobian varieties. |
| Link | http://www.math.kyoto-u.ac.jp/~mhyo/agsem/agseminar.html |