"Residue theory is an active area of complex analysis with connections and applications to fields as diverse as partial differential and integral equations, computer algebra, arithmetic or diophantine geometry, and mathematical physics. Multidimensional Residue Theory and Applications defines and studies multidimensional residues via analytic continuation for holomorphic bundle-valued current maps. This point of view offers versatility and flexibility to the tools and constructions proposed, allowing these residues to be defined and studied outside the classical case of complete intersection. The book goes on to show how these residues are algebraic in nature, and how they relate and apply to a wide range of situations, most notably to membership problems, such as the Briançon-Skoda theorem and Hilbert's Nullstellensatz, to arithmetic intersection theory and to tropical geometry"-- Back cover.

Bibliographic references

Includes bibliographical references (pages 507-525) and index.

ISBN

9781470471125 (paperback)

1470471124 (paperback)

LCCN

2023020259

OCLC

1395536491

Statement on language in description

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