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Desingularization: Invariants and Strategy - Application to Dimension 2 (Paperback, 1st ed. 2020)
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Desingularization: Invariants and Strategy - Application to Dimension 2 (Paperback, 1st ed. 2020)
Series: Lecture Notes in Mathematics, 2270
Expected to ship within 10 - 15 working days
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This book provides a rigorous and self-contained review of
desingularization theory. Focusing on arbitrary dimensional
schemes, it discusses the important concepts in full generality,
complete with proofs, and includes an introduction to the basis of
Hironaka's Theory. The core of the book is a complete proof of
desingularization of surfaces; despite being well-known, this
result was no more than folklore for many years, with no existing
references. Throughout the book there are numerous computations on
standard bases, blowing ups and characteristic polyhedra, which
will be a source of inspiration for experts exploring bigger
dimensions. Beginners will also benefit from a section which
presents some easily overlooked pathologies.
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