Let $X/\mathbb {F}_{q}$ be a smooth, geometrically connected, quasi-projective scheme. $\mathcal {E}$ semi-simple overconvergent $F$ -isocrystal on $X$ . Suppose that irreducible summands {E}_i$ of have rank 2, determinant $\bar {\mathbb {Q}}_p(-1)$ , and infinite monodromy at $\infty$ further for each closed point $x$ the characteristic polynomial is in $\mathbb {Q}[t]\subset \mathbb {Q}_p[t]$...

Building on Fujita-Griffiths method of computing metrics on Hodge bundles, we show that the direct image of an adjoint semi-ample line bundle by a projective submersion has a continuous metric with Griffiths semi-positive curvature. This shows that for every holomorphic semi-ample vector bundle E on a complex manifold, and every positive integer k, the vector bundle SE ⊗ detE has a continuous m...

A. Summary of items most closely related to the proposal: (1) In [7] (The generalized Grassmann invariant ...), the PI introduces pictures, derives their basic properties, and uses them to construct an element of order 16 in K 3 (Z). (2) In [40] (Links, pictures and the homology of nilpotent groups), the PI, with Kent Orr, analyze picture for torsion free nilpotent groups and construct special ...

Consider the posets PI = Borel(R) \ I where I is a σ-ideal σ-generated by a projective collection of closed sets. Then the PI extension is given by a single real r of an almost minimal degree: every real s ∈ V [r] is Cohen-generic over V or

These results were discovered in an attempt to embed real projective spaces. The well-known Hopf fiberings of Pu and Pi give the following representations of these spaces: Pi is a fiber space over S4 with P% as fiber, and Pu is a fiber space over S8 with P7 as fiber. Since any embedding of Pz in R6 has a trivial normal bundle [ó], Theorem 1.2 applies for Pi. Theorem 1.1 applies for Pu and, henc...

In this paper, we study the minimal model theory for threefolds in mixed characteristic. As a generalization of result Kawamata, show that program (MMP) holds strictly semi-stable schemes over an excellent Dedekind scheme V <mml:annotation enco...

in this paper we study isotropic lagrangian submanifolds , in complex space forms . it is shown that they are either totally geodesic or minimal in the complex projective space , if . when , they are either totally geodesic or minimal in . we also give a classification of semi-parallel lagrangian h-umbilical submanifolds.

The paper is devoted to peculiarities of the deformation quantization in the algebro-geometric context. A direct application of the formality theorem to an algebraic Poisson manifold gives a canonical sheaf of categories deforming coherent sheaves. The global category is very degenerate in general. Thus, we introduce a new notion of a semiformal deformation, a replacement in algebraic geometry ...

The category gp ( Λ ) of Gorenstein-projective modules over tensor algebra = A ⊗ k B can be described as the monomorphism mon , . In particular, Λ-modules are monic. this paper, we find similar relation between semi-Gorenstein-projective and -modules, via monic modules, namely, ⊥ ∩ Using this, it is proved that if weakly Gorenstein, then Gorenstein only each monic; Q with a finite acyclic quive...