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This book presents four lectures on Rees rings and blow-ups, Koszul
modules with applications to syzygies, Groebner bases and
degenerations, and applications of Adams operations. Commutative
Algebra has witnessed a number of spectacular developments in
recent years, including the resolution of long-standing problems;
the new techniques and perspectives are leading to an extraordinary
transformation in the field. The material contained in this volume,
based on lectures given at a workshop held in Levico Terme, Trento,
in July 2019, highlights some of these developments. The text will
be a valuable asset to graduate students and researchers in
commutative algebra and related fields.
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