Speaker
Mrs
Anna-Maria Raukh
Description
Given a generic hypersurface of a fixed degree in a n-dimensional weighted projective space, we describe the cohomology groups H^k for k<n and establish an explicit formula for the pullback map. Our results extend classical Lefschetz hyperplane theorem to weighted projective spaces and cohomology with integer coefficients. These results can be applied to compute cohomological invariants of Fano 3-folds of this form.