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How Many Zeroes?: Counting Solutions of Systems of Polynomials via Toric Geometry at Infinity (CMS/CAIMS Books in Mathematics, 2) free ebook download

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Author(s):	Pinaki Mondal

Date:	2021	Format:	rar	Language:	English	ISBN/ASIN:	3030751732
Pages:	367	OCR:		Quality:		ISBN13:
Uploader:	alex21s	Upload Date:	11/10/2021 11:42:48 PM

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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 Bernsteins theorem of counting solutions of generic systems, ultimately presenting the theorem, commentary, and extensions in a comprehensive and coherent manner. It begins with Bernsteins 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.
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3049789	Book	https://nitro.download/view/73BD1F7BF962...		0.00	alex21s

Tags: Books CAIMS Counting Geometry Infinity Mathematics Polynomials Solutions Systems Toric

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How Many Zeroes?: Counting Solutions of Systems of Polynomials via Toric Geometry at Infinity (CMS/CAIMS Books in Mathematics, 2) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics