Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Toric and Tropical Geometry: Tools for Understanding Algebraic Varieties

Toric and Tropical Geometry: Tools for Understanding Algebraic Varieties

Matt

Paperback

General Mathematics

Currently unavailable to order

ISBN10: 3384248783
ISBN13: 9783384248787
Publisher: Tredition Gmbh
Published: Jun 3 2024
Pages: 108
Weight: 0.37
Height: 0.26 Width: 6.00 Depth: 9.00
Language: English
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.

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