Search
Search Results
-
Line Bundles on Complex Tori
In his fundamental paper [84] Lefschetz derived, among other results, the most important topological properties of the first part of Section 1.1. In...
-
Conic-Line Arrangements in the Complex Projective Plane
The main goal of this note is to begin a systematic study on conic-line arrangements in the complex projective plane. We show a de Bruijn–Erdős type...
-
-
Parallel line identification for line-implicit-solvers
Line-implicit preconditioners are well known in computational fluid dynamics (CFD) solvers and are an essential component to handle meshes with cells...
-
Complex Numbers
Complex numbers are introduced and several operations involving complex numbers are studied.
-
Complex Numbers and Complex Plane
In this chapter we recall some concepts from basic courses in mathematical analysis of real-valued functions of one and several variables as well as...
-
Complex Integration
The analogue of real integration in the complex is integration along curves. The complex integration of a function f along a curve γ is analogous to...
-
Introduction to Complex Analysis
The concept of an analytic complex function is introduced and the Cauchy-Riemann relations are stated. Integration of complex functions along curves...
-
Complex WKB Method (One-Dimensional Linear Problems on the Complex Plane)
AbstractThe survey is devoted to the complex WKB method which arose as an approach to describing the asymptotic behavior of solutions to...
-
Line arrangements with many triple points
In this paper, we construct an infinite series of line arrangements in characteristic two, each featuring only triple intersection points. This...
-
Complex Numbers
So far we have worked with real numbers and used that they are ordered and can be added and multiplied, tacitly assuming that addition and...
-
-
Holomorphic projective connections on compact complex threefolds
We prove that a holomorphic projective connection on a complex projective threefold is either flat, or it is a translation invariant holomorphic...
-
Abelian Varieties over the Complex Numbers A Graduate Course
This textbook offers an introduction to abelian varieties, a rich topic of central importance to algebraic geometry. The emphasis is on geometric...
-
Complex hyperbolic orbifolds and hybrid lattices
A class of complex hyperbolic lattices in PU (2, 1) called the Deligne-Mostow lattices has been reinterpreted by Hirzebruch (see [
1 ,10 ] and [24 ]) in...
-
Zero-free regions near a line
We analyze metrics for how close an entire function of genus one is to having only real roots. These metrics arise from truncated Hankel matrix...
-
The mixed nonlinear Schrödinger equation on the half-line
We analyze the initial-boundary value problem for the mixed nonlinear Schrödinger equation posed on the half-line by using the Fokas method. Assuming...
-
Complex Analysis
Our idea of what a number is has evolved considerably throughout history. The ancients thought of numbers as extensions in space; we have looked at...