SMS scnews item created by Stephan Tillmann at Sun 14 Sep 2014 1121
Type: Seminar
Distribution: World
Expiry: 14 Dec 2014
Calendar1: 17 Sep 2014 1100-1200
CalLoc1: Carslaw 535A
Auth: tillmann@p710.pc (assumed)

Geometry-Topology-Analysis Seminar

Finiteness on semialgebraic types of Nash mappings defined on a Nash surface

Satoshi Koike

GTA Seminar - Wednesday, 17 September, 11:00-12:00 in Carlaw 535A

Please join us for lunch after the talk!

Finiteness on semialgebraic types of Nash mappings defined on a Nash surface

Satoshi Koike (Hyogo)

We consider a problem on whether the number of semialgebraic types appearing in a family of Nash mappings defined on a 2-dimensional Nash surface is finite. We show that if the Nash surface has isolated singularities, then the number is finite. On the other hand, we show that if it has non-isolated singularities, namely its singular locus is one-dimensional, then the number can be infinite. We give such a negative example in the algebraic case. This is a joint work with Masahiro Shiota.

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