124 citations · 189 across the 24 of their papers we have counts for
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Questions on self maps of algebraic varieties
Najmuddin Fakhruddin
In this note we discuss some arithmetic and geometric questions concerning self maps of projective algebraic varieties.
Boundedness results for periodic points on algebraic varieties
Najmuddin Fakhruddin
We prove that if f is a self-map of an algebraic variety over a field K, then under certain conditions on X, f and K the set of possible periods of K-valued periodic points of f is…
Zero cycles on generic hypersurfaces of large degree
Najmuddin Fakhruddin
We show that given a smooth projective variety X over C with dim(X) > 2, an ample line bundle O(1) on X and an integer n > 1, any n distinct points on a generic hypersurface of deg…
Multiplication maps of linear systems on smooth projective toric surfaces
Najmuddin Fakhruddin
Let X be a smooth projective toric surface and L and M two line bundles on X. If L is ample and M is generated by global sections, then we show that the natural map from H^0(X,L) t…
Torelli's theorem for high degree symmetric products of curves
Najmuddin Fakhruddin
We show that two smooth projective curves C_1 and C_2 of genus g which have isomorphic symmetric products are isomorphic unless g=2. This extends a theorem of Martens.