4 problems

Let $X$ be a smooth projective variety over the complex numbers, let $D\subset X$ be a very general smooth ample divisor of sufficiently large degree, and let…

Let $X$ be a smooth projective variety over the complex numbers, and let $D\subset X$ be a very general smooth ample divisor of sufficiently large degree. Write…

Let $X$ be a smooth projective variety and let $D\subset X$ be an ample divisor. Let $\mathscr{H}\to D$ be a polarized variation of Hodge structure, and let its numerical invariant…

Let $X$ be a smooth projective variety, let $D\subset X$ be a very general smooth ample divisor of sufficiently large degree, and let $j:D\hookrightarrow X$ be the inclusion. Pushf…