Olivier Benoist, Claire Voisin
Published 2024-05-21Version 1
We consider the problem of smoothing algebraic cycles with rational coefficients on smooth projective complex varieties up to homological equivalence. We show that a solution to this problem would be incompatible with the validity of the Hartshorne conjecture on complete intersections in projective space. We also solve unconditionally a symplectic variant of this problem.
Coniveau 2 complete intersections and effective cones
A Sage package for calculation of elliptic genera of homogeneous spaces and their complete intersections
Two remarks on sums of squares with rational coefficients
![QR code for arXiv:2405.12620 [math.AG]](http://oss.arxitics.com/images/favicon.svg)