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The Calabi Problem for Fano Threefolds (Paperback)
Loot Price: R2,331
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The Calabi Problem for Fano Threefolds (Paperback)
Series: London Mathematical Society Lecture Note Series
Expected to ship within 12 - 17 working days
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Algebraic varieties are shapes defined by polynomial equations.
Smooth Fano threefolds are a fundamental subclass that can be
thought of as higher-dimensional generalizations of ordinary
spheres. They belong to 105 irreducible deformation families. This
book determines whether the general element of each family admits a
Kähler–Einstein metric (and for many families, for all
elements), addressing a question going back to Calabi 70 years ago.
The book's solution exploits the relation between these metrics and
the algebraic notion of K-stability. Moreover, the book presents
many different techniques to prove the existence of a
Kähler–Einstein metric, containing many additional relevant
results such as the classification of all Kähler–Einstein smooth
Fano threefolds with infinite automorphism groups and computations
of delta-invariants of all smooth del Pezzo surfaces. This book
will be essential reading for researchers and graduate students
working on algebraic geometry and complex geometry.
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