Jump to ContentJump to Main Navigation

You are looking at 1-7 of 7 items

  • Keywords: elliptic curve x
Clear All Modify Search

View:

Line Arrangements in P2(C) and Their Finite Covers

Paula Tretkoff

in Complex Ball Quotients and Line Arrangements in the Projective Plane (MN-51)

Published in print:
2016
Published Online:
October 2017
ISBN:
9780691144771
eISBN:
9781400881253
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691144771.003.0006
Subject:
Mathematics, Geometry / Topology

This chapter discusses the free 2-ball quotients arising as finite covers of the projective plane branched along line arrangements. It first considers a surface X obtained by blowing up the singular ... More


Cryptographic Primitives

Andreas Bolfing

in Cryptographic Primitives in Blockchain Technology: A mathematical introduction

Published in print:
2020
Published Online:
October 2020
ISBN:
9780198862840
eISBN:
9780191895463
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198862840.003.0003
Subject:
Mathematics, Computational Mathematics / Optimization, Logic / Computer Science / Mathematical Philosophy

This chapter provides a very detailed introduction to cryptography. It first explains the cryptographic basics and introduces the concept of public-key encryption which is based on one-way and ... More


Torsion of Elliptic Curves and Unlikely Intersections

Fedor Bogomolov, Hang Fu, and Yuri Tschinkel

in Geometry and Physics: Volume I: A Festschrift in honour of Nigel Hitchin

Published in print:
2018
Published Online:
December 2018
ISBN:
9780198802013
eISBN:
9780191840500
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198802013.003.0002
Subject:
Mathematics, Geometry / Topology

This chapter studies effective versions of unlikely intersections of images of torsion points of elliptic curves on the projective line.


Public-Key Encryption

Keith M. Martin

in Everyday Cryptography: Fundamental Principles and Applications

Published in print:
2017
Published Online:
July 2017
ISBN:
9780198788003
eISBN:
9780191829956
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198788003.003.0005
Subject:
Mathematics, Computational Mathematics / Optimization, Logic / Computer Science / Mathematical Philosophy

In this chapter, we introduce public-key encryption. We first consider the motivation behind the concept of public-key cryptography and introduce the hard problems on which popular public-key ... More


The simple pendulum

S. G. Rajeev

in Advanced Mechanics: From Euler's Determinism to Arnold's Chaos

Published in print:
2013
Published Online:
December 2013
ISBN:
9780199670857
eISBN:
9780191775154
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199670857.003.0003
Subject:
Physics, Atomic, Laser, and Optical Physics

The simple pendulum is a simple mechanical system with a surprising depth. It can be solved in terms of Jacobi elliptic functions. A simple physical argument shows that these functions are doubly ... More


Period Domains and Period Mappings

James Carlson

Eduardo Cattani, Fouad El Zein, Phillip A. Griffiths, and Lê Dũng Tráng (eds)

in Hodge Theory (MN-49)

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691161341
eISBN:
9781400851478
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691161341.003.0004
Subject:
Mathematics, Geometry / Topology

This chapter seeks to develop a working understanding of the notions of period domain and period mapping, as well as familiarity with basic examples thereof. It first reviews the notion of a ... More


How to Explain Number Theory at a Dinner Party

Michael Harris

in Mathematics without Apologies: Portrait of a Problematic Vocation

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175836
eISBN:
9781400885527
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175836.003.0015
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter continues the discussion began in Chapter α‎. It presents the fourth and final part of author's response to the question, “What is it you do in number theory, anyway?” Here he deals with ... More


View: