A bstract The systematic program of heterotic line bundle model building has resulted in a wealth standard-like models (SLM) for particle physics. In this paper, we continue work the setting generalised Complete Intersection Calabi Yau (gCICY) manifolds. Using gCICYs constructed ref. [1], identify two geometries that, when combined with sums, are directly suitable GUT models. We then show that ...

From many earlier works on the classification theory of compact complex manifolds and their intrinsic geometric structures, it has been clear that “positivity” or “nonpositivity” properties of subsheaves of exterior powers of the tangent or cotangent bundle provide some of the most important global information concerning the manifold in question. The programs of Iitaka and Mori on a general cla...

We compute the spaces of sections powers determinant line bundle on spherical Schubert subvarieties Beilinson- Drinfeld affine Grassmannians. The answer is given in terms global Demazure modules over current Lie algebra.

We study the line bundle mean curvature flow on Kähler surfaces under hypercritical phase and a certain semipositivity condition. naturally encounter such condition when considering blowup of surfaces. show that converges smoothly to singular solution deformed Hermitian–Yang–Mills equation away from finite number curves negative self-intersection surface. As an application, we obtain lower boun...

natural convection heat transfer from a tube bundle in the indirect water bath heaters is investigated. a computer-code is used for the solution of the governing equations of mass, momentum and energy transfer based on the simple-c algorithm. simulations are carried out for the gas pressure station heater of kermanshah city with various tube bundle arrangements. in order to validate the numeric...

This article is devoted to a study of flat orbifold vector bundles. We construct bijection between the isomorphic classes proper bundles and equivalence representations fundamental groups base orbifolds. establish Bismut-Zhang like anomaly formula for Ray-Singer metric on determine line cohomology compact with coefficients in an bundle. show that analytic torsion acyclic unitary bundle equal va...

We show that the canonical bundle of Hurwitz stack classifying covers genus g>1 and degree k>2 projective line is big. all coarse moduli spaces trigonal curves are general type.