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Algebraic Geometry Seminar
Seminar information archive ～05/22｜Next seminar｜Future seminars 05/23～
| Date, time & place | Friday 13:30 - 15:00 118Room #118 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | GONGYO Yoshinori, KAWAKAMI Tatsuro, ENOKIZONO Makoto |
2012/12/13
10:40-12:10 Room #118 (Graduate School of Math. Sci. Bldg.)
Jean-Paul Brasselet (CNRS (Luminy))
The asymptotic variety of polynomial maps (ENGLISH)
Jean-Paul Brasselet (CNRS (Luminy))
The asymptotic variety of polynomial maps (ENGLISH)
[ Abstract ]
The asymptotic variety, or set of non-properness has been intensively studied by Zbigniew Jelonek. In a recent paper, Anna and Guillaume Valette associate to a polynomial map F:mathbbCntomathbbCn a singular variety NF and relate properness property of F to the vanishing of some intersection homology groups of NF. I will explain how stratifications of the asymptotic variety of F play an important role in the story and how recently, one of my students, Nguyen Thi Bich Thuy, found a nice way to exhibit such a suitable stratification.
The asymptotic variety, or set of non-properness has been intensively studied by Zbigniew Jelonek. In a recent paper, Anna and Guillaume Valette associate to a polynomial map F:mathbbCntomathbbCn a singular variety NF and relate properness property of F to the vanishing of some intersection homology groups of NF. I will explain how stratifications of the asymptotic variety of F play an important role in the story and how recently, one of my students, Nguyen Thi Bich Thuy, found a nice way to exhibit such a suitable stratification.
