On the existence of curves with assigned singularities

On the Existence of Plane Curves with Prescribed Singularities

An asymptotic existence theorem for plane curves with prescribed singularities

Let d,m1, . . . ,mr be (r + 1) positive integers. Denote by V (d;m1, . . . ,mr) the variety of irreducible (complex) plane curves of degree d having exactly r ordinary singularities of multiplicities m1, . . . ,mr. In most cases, it is still an open problem to know whether this variety is empty or not. In this paper, we will concentrate on the case where the r singularities can be taken in a ge...

The Existence of Surfaces of Constant Mean Curvature with Arbitrary Jordan Curves as Assigned Boundary1

On the Varieties Parametrizing Trigonal Curves with Assigned Weierstrass Points

We study the varieties that parametrize trigonal curves with assigned Weierstrass points; we prove that they are irreducible and compute their dimensions. To do so, we stratify the moduli space of all trigonal curves with given Maroni invariant.

azerbaijans political development after the collapse of soviet union and implication on relation with the islamic republic of iran

در فصل اول این پایاین نامه در خصوص تاریخ کشور اذربایجان قبل و بعد از جدایی این کشور از ایران مورد بررسی قرار گرفته است ودر فصل دوم تحولات سیاسی این کشور بعد از 1991 و در واقع بعد از فروپاشی شوروی و دولتهایی که روی کار امدند در از جمله دولت ابولفضل ایلچی بیگ،دولت حیدر علی اف وبعد از او پسرش الهام علی اف و نگرش هرکدام از این دولتها به سیاسیت خارجی اذربایجان مورد اشاره قرار گرفته است.در ودر فصل سو...