Classic and special Lie Groups structures on some plane cubic curves with singularities. II
نویسندگان
چکیده
The singular points of an irreducible plane cubic curve are quite limited: one knot/node, or one cusp. Our research starts originally with the Descartes Folium, which has a knot/node, and is able to have many group structures. The original results are concentrated in six directions: (i) special structures on affine algebraic varieties, (ii) theory of K-groups, (iii) isomorphisms of K-groups, (iv) canonic K-groups structures on subsets U ⊂ PK, (v) canonic K-groups structures on the subset DFK \ {O} of the projective Descartes Folium DFK, (vi) geometric interpretations. M.S.C. 2010: 14H45, 14L10, 14A10.
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