How Many Zeroes is popular PDF and ePub book, written by Pinaki Mondal in 2021-11-07, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, How Many Zeroes can be Read Online from any device for your convenience.
How Many Zeroes Book PDF Summary
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.
Detail Book of How Many Zeroes PDF
- Author : Pinaki Mondal
- Release : 07 November 2021
- Publisher : Springer Nature
- ISBN : 9783030751746
- Genre : Mathematics
- Total Page : 358 pages
- Language : English
- PDF File Size : 9,5 Mb
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