General elephants of -Fano 3-folds
Geometry of the genus 9 Fano 4-folds
We study the geometry of a general Fano variety of dimension four, genus nine, and Picard number one. We compute its Chow ring and give an explicit description of its variety of lines. We apply these results to study the geometry of non quadratically normal varieties of dimension three in a five dimensional projective space.
Global smoothing of Calabi-Yau threefolds.