Categorical representability and intermediate Jacobians of Fano threefolds

A general quartic double solid is birational to a 2- dimensional family of nodal Fano threefolds which are degenerations of (smooth) Fano threefolds of type X

is numerically equivalent to Ox. Then by the adjunction formula Ks is nef. Furthermore Ks is also big since some multiple of Ks is the pullback of some ample

This paper is a continuation of the series of works [FraMaTschi], [BaMa], [MaTschi] devoted to counting points of bounded height on algebraic varieties.. We start with

Toute utilisa- tion commerciale ou impression systématique est constitutive d’une in- fraction pénale.. Toute copie ou impression de ce fichier doit conte- nir la présente mention

rational curves of degree d on a generic quintic threefold is finite, non- empty, and reduced.... REMARK: Here, ’generic’ means that the accompanying statement is

Extremal rational curves on a logarithmic Fano threefold We can apply the logarithmic cone theorem (1.3) to a logarithmic Fano.. threefold (V,

In that paper Tjurin studies the intermediate Jacobian of Fano threefolds of index one and defined over the field of complex num-.. bers

We compute the particle spectrum and some of the Yukawa couplings for a family of heterotic compactifications on quintic threefolds X involving bundles that are defor- mations of T X