Geometry over nonclosed fields

Del Pezzo surfaces and minimal models for surfaces over nonclosed fields

DISCRETE GROUPS AND THE COMPLEX CONTACT GEOMETRY OF Sl(2,C)

We investigate the vertical foliation of the standard complex contact structure on Γ \ Sl(2,C), where Γ is a discrete subgroup. We find that, if Γ is nonelementary, the vertical leaves on Γ \Sl(2,C) are holomorphic but not regular. However, if Γ is Kleinian, then Γ \ Sl(2,C) contains an open, dense set on which the vertical leaves are regular, complete and biholomorphic to C∗. If Γ is a uniform...

On the set of solutions of a nonconvex nonclosed higher order differential inclusion

We consider a nonconvex and nonclosed higher order differential inclusion and we prove the arcwise connectedness of the solution set.

ec 1 99 7 REAL ALGEBRAIC SURFACES

The aim of these lectures is to study real algebraic surfaces with the help of the minimal model program. I mainly concentrate on those surfaces F which are rational over C. In some sense this is the class where the theory over C and over R differ the most. The study of real algebraic curves and surfaces is very old, in fact it predates algebraic geometry over C. From our point of view the firs...

Magnetic fields produced by steady currents in the body.

The magnetic fields produced by naturally occurring steady currents in the body were measured by using a new magnetic gradiometer in a magnetically shielded room. A field of 0.1 micro G/cm with reproducible pattern was seen over the head and over the limbs, whereas the field over the torso proper was weaker (except over the abdomen). Most of the field over the head is produced by electrical sou...