Complex Cycles on Real Algebraic Models of a Smooth Manifold
Complex Cycles on Real Algebraic Models of a Smooth Manifold
Let $M$ be a compact connected orientable ${C^\infty }$ submanifold of ${\mathbb {R}^n}$ with $2\dim M + 1 \leq n$. Let $G$ be a subgroup of ${H^2}(M,\mathbb {Z})$ such that the quotient group ${H^2}(M,\mathbb {Z})$ has no torsion. Then $M$ can be approximated in ${\mathbb {R}^n}$ by a nonsingular algebraic …