A basis for the non-archimedean holomorphic theta functions.
A Bogomolov property for curves modulo algebraic subgroups
Generalizing a result of Bombieri, Masser, and Zannier we show that on a curve in the algebraic torus which is not contained in any proper coset only finitely many points are close to an algebraic subgroup of codimension at least . The notion of close is defined using the Weil height. We also deduce some cardinality bounds and further finiteness statements.
A bound for the Milnor number of plane curve singularities
Let f = 0 be a plane algebraic curve of degree d > 1 with an isolated singular point at 0 ∈ ℂ2. We show that the Milnor number μ0(f) is less than or equal to (d−1)2 − [d/2], unless f = 0 is a set of d concurrent lines passing through 0, and characterize the curves f = 0 for which μ0(f) = (d−1)2 − [d/2].
A characterization of ample vector bundles on a curve.
A Characterization of Five-Dimensional Jacobian Varieties.
A characterization of hyperelliptic Jacobians.
A characterization of integral elliptic automorphic forms
A characterization of the complex affine line.
A class of diophantine equations connected with certain elliptic curves over
A Class of Indecomposable Algebraic Vector Bundles.
A classical complex analyst encounters a post-modern mathematical object.
A concept of Bernoulli numbers in algebraic function fields.
A Concept of Bernoulli Numbers in Algebraic Function Fields (II).
A construction of curves over finite fields
A contribution to the theory of tacnodal quartics
A counterexample to a conjecture of Drużkowski and Rusek
Let F = X + H be a cubic homogeneous polynomial automorphism from to . Let be the nilpotence index of the Jacobian matrix JH. It was conjectured by Drużkowski and Rusek in [4] that . We show that the conjecture is true if n ≤ 4 and false if n ≥ 5.
A criterion for rational places over local fields.
A criterion for the existence of a flat connection on a parabolic vector bundle.
A criterion for virtual global generation
Let be a smooth projective curve defined over an algebraically closed field , and let denote the absolute Frobenius morphism of when the characteristic of is positive. A vector bundle over is called virtually globally generated if its pull back, by some finite morphism to from some smooth projective curve, is generated by its global sections. We prove the following. If the characteristic of is positive, a vector bundle over is virtually globally generated if and only if for...
A curve of genus with a Half-Canonical embedding in
Si costruiscono curve di genere , che hanno fasci semicanonici tali che . Per si dimostra che gli sono molto ampi.