Period Matrices of hyperelliptic curves.
Periodic solitons and real algebraic curves.
We describe a method of calculation of all physical algebraic-geometrical solutions of KP-equations.
Periods and Gauss-Manin Connection for Families of p-Adic Schottky Groups.
Periods of harmonic Prym differentials on a compact Riemann surface.
Perturbing plane cruve singularities.
We describe the singularity of all but finitely-many germs in a pencil generated by two germs of plane curve sharing no tangent.
Petri's Approach to the Study of the Ideal Associated to a Special Divisor.
Picard Groups of Singular Affine Curves over a Perfect Fields.
Pinceaux de courbes planes et invariants polaires
We study pencils of plane curves , t ∈ ℂ, using the notion of polar invariant of the plane curve f = 0 with respect to a smooth curve l = 0. More precisely we compute the jacobian Newton polygon of the generic fiber , t ∈ ℂ. The main result gives the description of pencils which have an irreducible fiber. Furthermore we prove some applications of the local properties of pencils to singularities at infinity of polynomials in two complex variables.
Plane curves and their fundamental groups: Generalizations of Uludağ's construction.
Plane curves as projections of non singular space curves.
Plane curves of genus p and degree 2p as projections of space curves of the same degree.
Plane curves whose singular points are cusps and triple coverings of p2.
Plane curves with small linear orbits, I
The “linear orbit” of a plane curve of degree is its orbit in under the natural action of . In this paper we compute the degree of the closure of the linear orbits of most curves with positive dimensional stabilizers. Our tool is a nonsingular variety dominating the orbit closure, which we construct by a blow-up sequence mirroring the sequence yielding an embedded resolution of the curve. The results given here will serve as an ingredient in the computation of the analogous information for...
Plane projections of a smooth space curve
Let C be a smooth non-degenerate integral curve of degree d and genus g in over an algebraically closed field of characteristic zero. For each point P in let be the linear system on C induced by the hyperplanes through P. By one maps C onto a plane curve , such a map can be seen as a projection of C from P. If P is not the vertex of a cone of bisecant lines, then will have only finitely many singular points; or to put it slightly different: The secant scheme parametrizing divisors in...
Plücker conditions on plane rational curves.
Plücker relations for p(e...).
Pluricanonical embeddings
Poincaré bundles for families of curves.
Poincaré Polynomials of the Variety of Stable Bundles.
Point modules over Sklyanin algebras.