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math.AG2002
On two conjectures concerning convex curves
V. Sedykh, B. Shapiro
We recall two basic conjectures on the developables of convex projective curves, prove one of them and disprove the other in the firdt nontrivial case of curves in RP^3. Namely, we…
math.AG1998
Skew-symmetric Vanishing Lattices and Intersections of Schubert Cells
B. Shapiro, M. Shapiro, A. Vainshtein
We prove that the number of connected components in the intersection of two open opposite Schubert cells in the variety of complete real n-dimensional flags equals 3*2^{n-1} for n>…