27 citations · 105 across the 45 of their papers we have counts for
4 papers · 1 filter
On a Hodge locus
Hossein Movasati
There are many instances such that deformation space of the homology class of an algebraic cycle as a Hodge cycle is larger than its deformation space as algebraic cycle. This phen…
Computing the lines of a smooth cubic surface
Hossein Movasati
We give an explicit formula for the lines of a smooth cubic surface near the Fermat surface. Our formula involves convergent power series with coefficients in the extension of…
Smooth points of the space of plane foliations with a center
Lubomir Gavrilov, Hossein Movasati
We prove that a logarithmic foliation corresponding to a generic line arrangement of lines in the complex plane, with pairwise natural and co-prime residues, is a smoo…
Periods of families of curves in threefolds
Hossein Movasati
Clemens' conjecture states that the the number of rational curve in a generic quintic threefold is finite. If it is false we prove that certain periods of rational curves in such a…