Hodge-Gaussian maps

Elisabetta Colombo, Gian Pietro Pirola, Alfonso Tortora

Let $X$ be a compact Kähler manifold, and let $L$ be a line bundle on $X.$ Define $I_k(L)$ to be the kernel of the multiplication map $Sy{m}^k{H}^0(L)\to H^0(L^k).$ For all $h \le…