Name: How Many Zeroes?: Counting Solutions of Systems of Polynomials Via Toric Geometry at Infinity (en Inglés)
Price: 389205.00 COP
Availability: InStock
Author: Mondal, Pinaki
ISBN: 9783030751739

portada How Many Zeroes?: Counting Solutions of Systems of Polynomials Via Toric Geometry at Infinity (en Inglés)

Formato

Libro Físico

Autor

Pinaki Mondal

Editorial

Springer

Año

2021

Idioma

Inglés

N° páginas

352

Encuadernación

Tapa Dura

Dimensiones

24.1 x 21.6 x 2.0 cm

Peso

0.73 kg.

ISBN13

9783030751739

N° edición

Categorías

Geometría algebraica

How Many Zeroes?: Counting Solutions of Systems of Polynomials Via Toric Geometry at Infinity (en Inglés)

Pinaki Mondal (Autor) · Springer · Tapa Dura

Libro Físico

$ 389.205

$ 648.675

Ahorras: $ 259.470

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Origen: Reino Unido (Costos de importación incluídos en el precio)

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Reseña del libro "How Many Zeroes?: Counting Solutions of Systems of Polynomials Via Toric Geometry at Infinity (en Inglés)"

This graduate textbook presents an approach through toric geometry to the problem of estimating the isolated solutions (counted with appropriate multiplicity) of n polynomial equations in n variables over an algebraically closed field. The text collects and synthesizes a number of works on Bernstein's theorem of counting solutions of generic systems, ultimately presenting the theorem, commentary, and extensions in a comprehensive and coherent manner. It begins with Bernstein's original theorem expressing solutions of generic systems in terms of the mixed volume of their Newton polytopes, including complete proofs of its recent extension to affine space and some applications to open problems. The text also applies the developed techniques to derive and generalize Kushnirenko's results on Milnor numbers of hypersurface singularities, which has served as a precursor to the development of toric geometry. Ultimately, the book aims to present material in an elementary format, developing all necessary algebraic geometry to provide a truly accessible overview suitable to second-year graduate students.