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Nef Cotangent Bundles over Line Arrangements.

Michael J. Spurr (1988)

Manuscripta mathematica

Nef line bundles which are not ample.

V.B. Mehta, S. Subramanian (1995)

Mathematische Zeitschrift

Neron-Severi group for nonalgebraic elliptic surfaces I. Elliptic bundle case.

Vasile Brinzanescu (1993)

Manuscripta mathematica

Nesting maps of Grassmannians

Corrado De Concini, Zinovy Reichstein (2004)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Let $F$ be a field and $G r (i, F^{n})$ be the Grassmannian of $i$ -dimensional linear subspaces of $F^{n}$ . A map $f : G r (i, F^{n}) \to G r (j, F^{n})$ is called nesting if $l \subset f (l)$ for every $l \in G r (i, F^{n})$ . Glover, Homer and Stong showed that there are no continuous nesting maps $G r (i, C^{n}) \to G r (j, C^{n})$ except for a few obvious ones. We prove a similar result for algebraic nesting maps $G r (i, F^{n}) \to G r (j, F^{n})$ , where $F$ is an algebraically closed field of arbitrary characteristic. For $i = 1$ this yields a description of the algebraic sub-bundles of the tangent bundle to the projective space $P_{F}^{n}$ .

Nets of Quadrics and Vector Bundles on a Double Plane.

Usha N. Bhosle (1986)

Mathematische Zeitschrift

Nichtsepariertheit instabiler Rang-2-Vektorbündel auf P2.

Ulrich Schafft (1983)

Journal für die reine und angewandte Mathematik

Nonabelian Hodge theory in characteristic $p$

A. Ogus, V. Vologodsky (2007)

Publications Mathématiques de l'IHÉS

Given a scheme in characteristic p together with a lifting modulo p2, we construct a functor from a category of suitably nilpotent modules with connection to the category of Higgs modules. We use this functor to generalize the decomposition theorem of Deligne-Illusie to the case of de Rham cohomology with coefficients.