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Author Sottile, Frank
Title Real solutions to equations from geometry / [electronic resource] Frank Sottile
Imprint Providence, R.I. : American Mathematical Society, c2011
book jacket
Descript 1 online resource (ix, 200 p. : ill. (some col.))
Series University Lecture Series, 1047-3998 (print); v. 57
Note Includes bibliographical references (p. 189-194) and index
Chapter 1. Overview Chapter 2. Real solutions of univariate polynomials Chapter 3. Sparse polynomial systems Chapter 4. Toric degenerations and Kushnirenko's theorem Chapter 5. Fewnomial upper bounds Chapter 6. Fewnomial upper bounds from Gale dual polynomial systems Chapter 7. Lower bounds for sparse polynomial systems Chapter 8. Some lower bounds for systems of polynomials Chapter 9. Enumerative real algebraic geometry Chapter 10. The Shapiro Conjecture for Grassmannians Chapter 11. The Shapiro Conjecture for rational functions Chapter 12. Proof of the Shapiro Conjecture for Grassmannians Chapter 13. Beyond the Shapiro Conjecture for the Grassmannian Chapter 14. The Shapiro Conjecture beyond the Grassmannian
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access : World Wide Web
Description based on print version record
Link Print version: Sottile, Frank. Real solutions to equations from geometry / (DLC) 2011019676 1047-3998 9780821853313
Subject Algebraic varieties
Geometry, Algebraic
Algebraic geometry -- Real algebraic and real analytic geometry -- None of the above, but in this section. msc
Algebraic geometry -- Special varieties -- Toric varieties, Newton polyhedra. msc
Algebraic geometry -- Special varieties -- Grassmannians, Schubert varieties, flag manifolds. msc
Algebraic geometry -- Projective and enumerative geometry -- Classical problems, Schubert calculus. msc
Algebraic geometry -- Real algebraic and real analytic geometry -- Topology of real algebraic varieties. msc
Field theory and polynomials -- Real and complex fields -- Polynomials: location of zeros (algebraic theorems). msc
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