Elliptic curves and continued fractions.
Elliptic curves and local -factors
Elliptic curves and -extensions
Elliptic Curves: Diophantine Torsion Solutions and Singular j-Invariants.
Elliptic curves on spinor varieties
We prove irreducibility of the scheme of morphisms, of degree large enough, from a smooth elliptic curve to spinor varieties. We give an explicit bound on the degree.
Elliptic curves with a rational point of finite order.
Elliptic Curves With Complex Multiplication and the Conjecture of Birch and Swinnerton-Dyer.
Embeddings of Curves.
Endomorphisms of jacobian varieties of Fermat curves
Energy decay rates for solutions of Maxwell's system with a memory boundary condition
We consider the stabilization of Maxwell's equations with space variable coefficients in a bounded region with a smooth boundary, subject to dissipative boundary conditions of memory type on the boundary. Under suitable conditions on the domain and on the permeability and permittivity coefficients, we prove the exponential/polynomial decay of the energy. Our result is mainly based on the use of the multipliers method and the introduction of a suitable Lyapounov functional.
Ergänzung zu dem Aufsatze "Ueber die Formen der Curven dritter Ordnung". (Bd. 75 pag. 153).
Eště o niektorých ďalších vlastnostiach kriviek triedy P a PP
Étude sur les relations algébriques entre les fonctions hyperelliptiques de genre 3
Exemples de courbes de P3 à fibré normal semi-stable, stable.
Explicit form of the modular equation.
Explicit p-adic theta function.
Extensions icosaédriques
Extremal properties for concealed-canonical algebras
Canonical algebras, introduced by C. M. Ringel in 1984, play an important role in the representation theory of finite-dimensional algebras. They also feature in many other mathematical areas like function theory, 3-manifolds, singularity theory, commutative algebra, algebraic geometry and mathematical physics. We show that canonical algebras are characterized by a number of interesting extremal properties (among concealed-canonical algebras, that is, the endomorphism rings of tilting bundles on...
Families of elliptic curves with genus 2 covers of degree 2.
We study genus 2 covers of relative elliptic curves over an arbitrary base in which 2 is invertible. Particular emphasis lies on the case that the covering degree is 2. We show that the data in the "basic construction" of genus 2 covers of relative elliptic curves determine the cover in a unique way (up to isomorphism).A classical theorem says that a genus 2 cover of an elliptic curve of degree 2 over a field of characteristic ≠ 2 is birational to a product of two elliptic curves over the projective...
Families of Mumford curves