Higher Dimensional Algebraic Geometry
eBook - PDF

Higher Dimensional Algebraic Geometry

A Volume in Honor of V. V. Shokurov

  1. 458 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Higher Dimensional Algebraic Geometry

A Volume in Honor of V. V. Shokurov

About this book

Arising from the 2022 Japan-US Mathematics Institute, this book covers a range of topics in modern algebraic geometry, including birational geometry, classification of varieties in positive and zero characteristic, K-stability, Fano varieties, foliations, the minimal model program and mathematical physics. The volume includes survey articles providing an accessible introduction to current areas of interest for younger researchers. Research papers, written by leading experts in the field, disseminate recent breakthroughs in areas related to the research of V.V. Shokurov, who has been a source of inspiration for birational geometry over the last forty years.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Higher Dimensional Algebraic Geometry by Christopher Hacon,Chenyang Xu in PDF and/or ePUB format, as well as other popular books in Mathematics & Topology. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Cambridge University Press
Year
2025
eBook ISBN
9781009396257
Topic
Mathematics
Subtopic
Topology
Index
Mathematics

Table of contents

  1. Cover
  2. Half-Title Page
  3. Series Page
  4. Title Page
  5. Imprints Page
  6. Contents
  7. List of Contributors
  8. Preface
  9. 1 Birational Geometry of Algebraic Varieties and Shokurov's Work
  10. 2 ACC for Log Canonical Thresholds for Complex Analytic Spaces
  11. 3 Conjectures on the Kodaira Dimension
  12. 4 Characterizing Terminal Fano Threefolds with the Smallest Anti-Canonical Volume, II
  13. 5 Uniform Rational Polytopes for Iitaka Dimensions
  14. 6 MMP for Algebraically Integrable Foliations
  15. 7 On Toric Fano Fibrations
  16. 8 Q-Fano Threefolds of Fano Index 13
  17. 9 Reflective Hyperbolic Two-Elementary Lattices, K3 Surfaces and Hyperkahler Manifolds
  18. 10 The Relative Du Bois Complex – on a Question of S. Zucker
  19. 11 Factorization Presentations
  20. 12 Spectrum Bounds in Geometry
  21. 13 On the DCC of Iitaka Volumes
  22. 14 Shokurov's Index Conjecture for Quotient Singularities
  23. 15 A Note on the Sarkisov Program
  24. 16 Cluster Varieties and Toric Specializations of Fano Varieties
  25. 17 Birational Rigidity and Alpha Invariants of Fano Varieties
  26. 18 On F-Pure Inversion of Adjunction
  27. 19 On Termination of Flips and Fundamental Groups
  28. 20 Motivic Integration on Berkovich Spaces