Multiplicities and Chern Classes in Local Algebra

Focusing on the integration of local Chern characters in commutative algebra, this book presents a comprehensive exploration of its theoretical foundations and applications within algebraic geometry. It emphasizes the connections between commutative algebra and homological algebra, featuring recent research findings and the author's contributions. Key topics include homological conjectures and the Frobenius map, making it an essential resource for graduate students and researchers seeking to deepen their understanding of these mathematical concepts.