Higher Dimensional Algebraic Geometry (Paperback)

Christopher Hacon

ISBN 10: 1009396242 / ISBN 13: 9781009396240

Published by Cambridge University Press, Cambridge, 2025

About this Item

Paperback. 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. Covering a range of topics in modern algebraic geometry, this text features research articles discussing recent breakthroughs in areas closely related to the work of V.V. Shokurov. Accessible survey articles introduce graduate students to current areas of interest. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9781009396240

Bibliographic Details

• Title: Higher Dimensional Algebraic Geometry (Paperback)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2025
• Language: English
• ISBN 10: 1009396242
• ISBN 13: 9781009396240
• Binding: Paperback
• Condition: new

About this title

Synopsis

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.

About the Authors

Christopher Hacon is the McMinn Presidential Endowed Chair and Distinguished Professor at the University of Utah. He is a Fellow of the Royal Society, a member of the National Academy of Sciences and of the American Academy of Arts and Sciences. His research in algebraic geometry has been recognized by the Clay Research Prize 2007, the Cole Prize 2009, the Feltrinelli Prize 2011, and the Breakthrough Prize in Mathematics 2018.

Chenyang Xu is Professor at Princeton University. He is a fellow of the American Mathematical Society. His contributions to algebraic geometry have been recognized by the Future Science Prize 2017, the New Horizon Prize 2019, and the Cole Prize 2021.