Degree Theory of Immersed Hypersurfaces

Families of hypersurfaces of large degree

We show that general moving enough families of high degree hypersurfaces in P do not have a dominant set of sections.

Fano Varieties of Low-degree Smooth Hypersurfaces and Unirationality

Hypersurfaces of Low Degree Are Rationally Simply-connected

For a general hypersurface of degree d in projective n-space, if n ≥ d the spaces of 2-pointed rational curves on the hypersurface are rationally connected; thus the hypersurfaces are rationally simply connected. This paper proves stronger versions of theorems in [HS05].

Rational Curves on Hypersurfaces of Low Degree Ii

This is the second in a sequence of papers on the geometry of spaces of rational curves of degree e on a general hypersurface X ⊂ Pn of degree d. In [11] it is proved that if d < n+1 2 then for each e the space of rational curves is irreducible, reduced and has the expected dimension. In this paper it is proved that if d2 + d + 1 ≤ n, then for each e the space of rational curves is a rationally...

Dynamic Behavior of Anisotropic Protein Microtubules Immersed in Cytosol Via Cooper–Naghdi Thick Shell Theory

In the present research, vibrational behavior of anisotropic protein microtubules (MTs) immersed in cytosol via Cooper–Naghdi shell model is investigated. MTs are hollow cylindrical structures in the eukaryotic cytoskeleton which surrounded by filament network. The temperature effect on vibration frequency is also taken into account by assuming temperature-dependent material properties for MTs....