Everand Logo

Welcome to Everand!

  • Discover millions of ebooks, audiobooks, and so much more with a free trial

    Only $11.99/month after trial. Cancel anytime.

    Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127
    Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127
    Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127
    Ebook101 pages2 hours

    Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127

    By Gerd Faltings

    ()

    Read preview

    About this ebook

    The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field of Arakelov-theory.

    LanguageEnglish
    PublisherPrinceton University Press
    Release dateMar 2, 2016
    ISBN9781400882472
    Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127

    Related to Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127

    Titles in the series (100)

    View More
    View More

    Related ebooks

    Mathematics For You

    View More
    View More

    Related podcast episodes

    Related articles

    • Article

      How Math’s Most Famous Proof Nearly Broke: Andrew Wiles thought he had a solution to an age-old puzzle. Until it began to unravel.

      May 28, 2015

      Andrew Wiles gave a series of lectures cryptically titled “Modular Forms, Elliptic Curves, and Galois Representations” at a mathematics conference in Cambridge, England, in June 0f 1993. His argument was long and technical. Finally, 20 minutes into t

      8 min read

    • Article

      How Math’s Most Famous Proof Nearly Broke

      Dec 20, 2018

      Andrew Wiles gave a series of lectures cryptically titled “Modular Forms, Elliptic Curves, and Galois Representations” at a mathematics conference in Cambridge, England, in June 0f 1993. His argument was long and technical. Finally, 20 minutes into t

      8 min read

    • Article

      A Universe Made of Tiny, Random Chunks: The space-time that makes up our universe is inherently uncertain.

      Jun 6, 2013

      One of science’s most crucial yet underappreciated achievements is the description of the physical universe using mathematics—in particular, using continuous, smooth mathematical functions, like how a sine wave describes both light and sound. This is

      6 min read

    • Article

      The Math That Takes Newton Into the Quantum World

      Feb 28, 2019

      In my 50s, too old to become a real expert, I have finally fallen in love with algebraic geometry. As the name suggests, this is the study of geometry using algebra. Around 1637, René Descartes laid the groundwork for this subject by taking a plane,

      9 min read

    • Article

      The Universe Began With a Big Melt, Not a Big Bang

      Oct 5, 2017

      There are two tantalizing mysteries about our universe, one dealing with its final fate and the other with its beginning, that have intrigued cosmologists for decades. The community has always believed these to be independent problems—but what if the

      10 min read

    • Article

      A Supermassive Lens On The Constants Of Nature

      Nov 25, 2020

      The 2020 Nobel Prize in Physics went to three researchers who confirmed that Einstein’s general relativity predicts black holes, and established that the center of our own galaxy houses a supermassive black hole with the equivalent of 4 million suns

      9 min read

    • Article

      The Scientific Problem That Must Be Experienced: To understand turbulence we need the intuitive perspective of art.

      Jul 3, 2014

      When the German physicist Arnold Sommerfeld assigned his most brilliant student a subject for his doctoral thesis in 1923, he admitted that “I would not have proposed a topic of this difficulty to any of my other pupils.” Those others included such g

      16 min read

    • Article

      Fine Tuning Is Just Fine

      Sep 20, 2018

      It is hard to overstate the anticipation that preceded the opening of the Large Hadron Collider (LHC) 10 years ago. Smashing protons together at energies well above those produced at any previous particle accelerator, the LHC seemed capable of vindic

      9 min read

    • Article

      Babbage And Running His Many Engines

      Nov 16, 2021

      Mike Bedford Like most of us, Mike tended to think of the likes of Alan Turing and John von Neumann as the pioneers of computing, so delving further into Charles Babbage’s creations was truly inspiring. Discussion about the first ever computer often

      11 min read

    • Article

      Erwin Schrödinger

      Dec 27, 2019

      Erwin Schrödinger
      2 min read

    • Article

      How to Build a Search Engine for Mathematics: The Surprising Power of Neil Sloane’s Encyclopedia of Integer Sequences.: The surprising power of Neil Sloane’s Encyclopedia of Integer Sequences.

      Oct 22, 2015

      On the average summer Saturday, the mathematician Neil Sloane woke up to a crisis. “There are always crises,” he said— albeit crises of the teapot tempest variety. One Saturday over breakfast, he faced an inbox message titled “edits from outer space.

      10 min read

    • Article

      Transitions Poncho

      Jan 25, 2022

      Transitions Poncho
      8 min read

    Related categories

    Reviews for Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127

    0 ratings

    0 ratings0 reviews

    What did you think?

    Tap to rate

    Review must be at least 10 words

      Book preview

      Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 - Gerd Faltings

      Enjoying the preview?
      Page 1 of 1