Differential resolvents of minimal order and weight.
Differential rings in which any ideal is differential
Differential rings of meromorphic functions
Differential simplicity and a criterion fornnormality
Differentials of the second kind for families of Mumford curves
Différentielles et congruences
Différentielles non commutatives et théorie de Galois différentielle ou aux différences
Digging Holes in Algebraic Closures à la Artin. I.
Digressione sui campi ordinati
Dimensions of anisotropic indefinite quadratic forms. I.
Dimensions of anisotropic indefinite quadratic forms. II.
Diophantine approximation in power series fields
Diophantine representation of Mersenne and Fermat primes
Diophantine undecidability for addition and divisibility in polynomial rings
We prove that the positive-existential theory of addition and divisibility in a ring of polynomials in two variables A[t₁,t₂] over an integral domain A is undecidable and that the universal-existential theory of A[t₁] is undecidable.
Disconnected groups of Lie type as Galois groups.
Discriminant Sets of Families of Hyperbolic Polynomials of Degree 4 and 5
∗ Research partially supported by INTAS grant 97-1644A real polynomial of one real variable is hyperbolic (resp. strictly hyperbolic) if it has only real roots (resp. if its roots are real and distinct). We prove that there are 116 possible non-degenerate configurations between the roots of a degree 5 strictly hyperbolic polynomial and of its derivatives (i.e. configurations without equalities between roots). The standard Rolle theorem allows 286 such configurations. To obtain the result we study...
Discussion de la fraction
Diskret bewertete perfekte Körper mit unvollkommenem Restklassenkörper.
Disque générique et équations différentielles
Dividing rational points on abelian varieties of CM-type