Injective morphisms of real algebraic varieties
نویسندگان
چکیده
منابع مشابه
On the space of morphisms into generic real algebraic varieties
We introduce a notion of generic real algebraic variety and we study the space of morphisms into these varieties. Let Z be a real algebraic variety. We say that Z is generic if there exist a finite family {Di}i=1 of irreducible real algebraic curves with genus ≥ 2 and a biregular embedding of Z into the product variety Qn i=1 Di. A bijective map φ : e Z −→ Z from a real algebraic variety e Z to...
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A conjugation-invariant ideal I ⊆ C[zj , zj : j = 1, . . . , n] has the Quillen property if every real valued, strictly positive polynomial on the real zero set VR(I) ⊆ C n is a sum of hermitian squares modulo I . We first relate the Quillen property to the archimedean property from real algebra. Using hereditary calculus, we then quantize and show that the Quillen property implies the subnorma...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1962
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1962-0140516-5