Gaussian maps and multiplication maps on certain projective varieties
Gaussian Maps and Tensor products of irreducible representations.
Geometrically ruled surfaces as zero loci of ample vector bundles.
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.