Wolfram Decker

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0. Introduction 1. The Heisenberg group of level 5 2. Surfaces and syzygies 3. The minimal abelian and bielliptic surfaces 4. Moore matrices 5. Modules obtained by concatenating three Moore matrices 6. Syzygy construction of bielliptic surfaces 7. Non-minimal abelian surfaces obtained via linkage 8. A new family of non-minimal abelian surfaces 9.(More)
and β = ( e0 ∧ e2 + e1 ∧ e3 −e4 ) , where e0, . . . , e4 is a basis of the underlying vector space V of P . In particular, G is uniquely determined up to isomorphisms and coordinate transformations. (ii) Conversely, if G is the cohomology bunndle of the monad (M) as in (i), then G(1) is globally generated. Therefore the dependancy locus of four general(More)
Retinal pigment epithelial tears have been recognized recently as a complication of retinal pigment epithelial detachments. They are characterized by sudden separation of detached from attached pigment epithelium at the margin of the detachment. Retraction of the overlying pigment epithelium occurs and exposes Bruch's membrane and choroid. Most pigment(More)
In 1988 Serrano [Ser], using Reider’s method, discovered a minimal bielliptic surface in P. Actually he showed that there is a unique family of such surfaces and that they have degree 10 and sectional genus 6. It is easy to see that the only other smooth surfaces with these invariants are minimal abelian. There is a unique family of minimal abelian surfaces(More)
A standard method for finding a rational number from its values modulo a collection of primes is to determine its value modulo the product of the primes via Chinese remaindering, and then use Farey sequences for rational reconstruction. Successively enlarging the set of primes if needed, this method is guaranteed to work if we restrict ourselves to “good”(More)
Systems of polynomial equations arise throughout mathematics, engineering, and the sciences. It is therefore a fundamental problem both in mathematics and in application areas to find the solution sets of polynomial systems. The focus of this paper is to compare two fundamentally different approaches to computing and representing the solutions of polynomial(More)