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Displaying 1541 – 1560 of 1685

Triple Solids with Sectional Genus three.

Antonio Lanteri, Elvira Laura Livorni (1990)

Forum mathematicum

Tsuchihashi's Cusp Singularities and Automorphisms of Hilbert Modular Variety Cusps.

G. K. Sankaran (1986)

Mathematische Annalen

Twisted cotangent sheaves and a Kobayashi-Ochiai theorem for foliations

Andreas Höring (2014)

Annales de l’institut Fourier

Let $X$ be a normal projective variety, and let $A$ be an ample Cartier divisor on $X$ . Suppose that $X$ is not the projective space. We prove that the twisted cotangent sheaf $Ω_{X} \otimes A$ is generically nef with respect to the polarisation $A$ . As an application we prove a Kobayashi-Ochiai theorem for foliations: if $ℱ ⊊ T_{X}$ is a foliation such that $det ℱ \equiv i_{ℱ} A$ , then $i_{ℱ}$ is at most the rank of $ℱ$ .

Twistor examples of algebraic dimension zero threefolds.

M. Ville (1991)

Inventiones mathematicae

Twistor transforms of quaternionic functions and orthogonal complex structures

Graziano Gentili, Simon Salamon, Caterina Stoppato (2014)

Journal of the European Mathematical Society

The theory of slice-regular functions of a quaternion variable is applied to the study of orthogonal complex structures on domains $Ω$ of $ℝ^{4}$ . When $Ω$ is a symmetric slice domain, the twistor transform of such a function is a holomorphic curve in the Klein quadric. The case in which $Ω$ is the complement of a parabola is studied in detail and described by a rational quartic surface in the twistor space $ℂ P^{3}$ .