Toric and Tropical Geometry by Matt

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Toric and Tropical Geometry by Matt

Imagine an intricate puzzle - an algebraic variety, defined by complex equations. Toric and tropical geometry offer powerful tools to understand its hidden structure. Toric geometry builds a bridge between algebraic varieties and lattices, grids of points with specific properties. By translating the variety into a toric variety based on this lattice, we gain insights into its symmetries and behavior. Tropical geometry takes a different approach. It replaces the variety with a simpler object - a polyhedral complex, a collection of flat shapes glued together. This tropicalization captures the essential geometric features of the original variety, making it easier to analyze its shape and interactions with other objects. Together, toric and tropical geometry provide a diverse toolbox for mathematicians. By switching between these perspectives, we can gain a deeper understanding of the intricate world of algebraic varieties.
SKU Unavailable
ISBN 13 9783384248787
ISBN 10 3384248783
Title Toric and Tropical Geometry
Author Matt
Condition Unavailable
Binding Type Paperback
Publisher Tredition Gmbh
Year published 2024-06-03
Number of pages 108
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.