منابع مشابه
Hypersurfaces that are not stably rational
A fundamental problem of algebraic geometry is to determine which varieties are rational, that is, isomorphic to projective space after removing lower-dimensional subvarieties from both sides. In particular, we want to know which smooth hypersurfaces in projective space are rational. An easy case is that smooth complex hypersurfaces of degree at least n + 2 in P are not covered by rational curv...
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The envelope of a family of real, rational hypersurfaces is defined by an implicit equation in the parameter space. This equation can be decomposed into factors that are mapped to varieties of different dimension. The factorization can be found using solely gcd computations and polynomial divisions. The decomposition is used to derive some general results about envelopes, which also contribute ...
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 2015
ISSN: 0894-0347,1088-6834
DOI: 10.1090/jams/840