31 citations · 75 across the 31 of their papers we have counts for
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math.GT1999
Knotting of Algebraic Curves in CP2
Sergey Finashin
I construct "fake algebraic curves" in . More precisely, for any k>2, I construct infinitely many pairwise smoothly non-isotopic (and moreover not ambient diffeomorphic) smoo…
math.GT1999
A Rokhlin Conjecture and Smooth Quotients by the Complex Conjugation of Singular Real Algebraic Surfaces
Sergey Finashin
The topology of the orbit space, , for the action of the complex conjugation on a complex surface, , defined over reals, is studied. I give a criterion for blow-up stable tri…
math.AG1999★ 4 cited
Complex Intersections of Real Cycles in Real Algebraic Varieties and Generalized Arnold-Viro Inequalities
S. Finashin
Consider a real algebraic variety, , of dimension . If its complexification, $\C X$, is a rational homology manifold (at least in a neighborhood of ), then the inter…