Let S be the first degeneracy locus of a morphism vector bundles corresponding to general matrix linear forms in $${\mathbb {P}}^s$$ . We prove that, under certain positivity conditions, its Hilbert square $${{\mathrm{Hilb}}}^2(S)$$ is isomorphic zero global section an irreducible homogeneous bundle on product Grassmannians. Our construction involves naturally associated Fano variety, and expli...

The Galician sympatric ecotypes of Littorina saxatilis have been proposed as a model system for studying parallel ecological speciation. Such a model system makes a clear prediction: candidate loci (for divergent adaptation) should present a higher level of geographical differentiation than noncandidate (neutral) loci. We used 2356 amplified fragment length polymorphisms (AFLPs) and four micros...

Let $\mathbb {V}$ be a polarized variation of Hodge structure over smooth complex quasi-projective variety $S$ . In this paper, we give complete description the typical locus for such variations. We prove that it is either empty or equidistributed with respect to natural differential form, pull–push form particular, always analytically dense when does not vanish. When weight two, numbers are $(...