GENERIC POINTS IN ALGEBRAIC GEOMETRY AND LOEB MEASURES
,
Li Banghe
Author information+
Institute of Systems Science,Academia Sinica,Beijing,Chin
{{custom_zuoZheDiZhi}}
{{custom_authorNodes}}
{{custom_bio.content}}
{{custom_bio.content}}
{{custom_authorNodes}}
Collapse
History+
Received
Revised
Published
1900-01-01
1900-01-01
1989-01-15
Issue Date
1989-01-15
Abstract
For any irreducible complex projective variety A, we prove that in the nonstandard extension ~*A of A in a polysaturated model, the set of points which are not generic points of A has Loeb measure zero. This is similar to the Sard theorem asserting that the critical values of a smooth maphave Lebesgue measure zero.
Li Banghe. , {{custom_author.name_en}}.
GENERIC POINTS IN ALGEBRAIC GEOMETRY AND LOEB MEASURES. Journal of Systems Science and Complexity, 1989, 2(1): 1-003