We use the theory of logarithmic line bundles to construct compactifications spaces roots a bundle on family curves, generalising work number authors. This runs via study torsion in tropical and jacobians (recently constructed by Molcho Wise). Our moduli space carries ‘double ramification cycle’ measuring locus where given root is isomorphic trivial bundle, we give tautological formula for this...

Abstract Given a vector bundle of arbitrary rank with ample determinant line on projective manifold, we propose new elliptic system differential equations Hermitian-Yang-Mills type for the curvature tensor. The is designed so that solutions provide Hermitian metrics positive in sense Griffiths — and even dual Nakano sense. As consequence, if an existence result could be obtained every bundle, c...

It is the purpose of the present paper to outline an introduction in theory of embeddings in the 2-osculator bundle. First, we recall the notion of 2-osculator bundle ([9], [2], [4]) and the notion of submani-folds in the 2-osculator bundle ([9]). A moving frame is constructed. The induced connections and the relative covariant derivation are discussed in the fourth and fifth section ([15], [16...

Financial support: Financial support for the program conducted at NNH was provided by ESTHER, a French Public Agency that promote access to care for people living with HIV in developing countries. Additional support for this action was provided by the African Partnership for Patient Safety. Potential conflicts of interest: All authors report no conflict of interest relevant to this letter. Auth...

We construct a canonical singular hermitian metric with semipositive curvature current on the canonical line bundle of a compact Kähler manifold with pseudoeffective canonical bundle. The method of the construction is a modification of the one in [T]. MSC: 14J15,14J40, 32J18

We investigate effectiveness and ampleness of adjoint divisors the form aL + bKX, where L is a suitably positive line bundle on smooth projective variety X a, b are integers.

Let p : Y → X be a surjection between schemes projective over the algebraic closure of a finite field. Let L be a line bundle on X such that p∗(L) is globally generated. A natural necessary and sufficient condition is given under which some positive tensor power of L is globally generated. An application is a sufficient condition for semi-ampleness of nef line bundles on Mg,n in positive charac...

Introduction Let L be an ample line bundle on a smooth complex projective variety M of dimension n. We conjecture that K + nL is spanned unless L n = 1, where K is the canonical bundle of M. In this paper we prove this conjecture for n = 3.

In this study, it was attempted to design a high-performance single-walled carbon nanotube (SWCNT) bundle interconnects in a full adder. For this purpose, the circuit performance was investigated using simulation in HSPICE software and considering the technology of 32-nm. Next, the effects of geometric parameters including the diameter of a nanotube, distance between nanotubes in a bundle, and ...