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008    150223s2011    riua    ob    001 0 eng   
020    9781470416522 (online) 
040    DLC|cDLC|dDLC|dRPAM 
050 00 QA564|b.S68 2011 
082 00 516.3/53|223 
100 1  Sottile, Frank 
245 10 Real solutions to equations from geometry /|h[electronic 
       resource] |cFrank Sottile 
260    Providence, R.I. :|bAmerican Mathematical Society,|cc2011 
300    1 online resource (ix, 200 p. : ill. (some col.)) 
490 0  University Lecture Series, |x1047-3998 (print); |vv. 57 
504    Includes bibliographical references (p. 189-194) and index
505 00 |tChapter 1. Overview|tChapter 2. Real solutions of 
       univariate polynomials|tChapter 3. Sparse polynomial 
       systems|tChapter 4. Toric degenerations and Kushnirenko's 
       theorem|tChapter 5. Fewnomial upper bounds|tChapter 6. 
       Fewnomial upper bounds from Gale dual polynomial systems
       |tChapter 7. Lower bounds for sparse polynomial systems
       |tChapter 8. Some lower bounds for systems of polynomials
       |tChapter 9. Enumerative real algebraic geometry|tChapter 
       10. The Shapiro Conjecture for Grassmannians|tChapter 11. 
       The Shapiro Conjecture for rational functions|tChapter 12.
       Proof of the Shapiro Conjecture for Grassmannians|tChapter
       13. Beyond the Shapiro Conjecture for the Grassmannian
       |tChapter 14. The Shapiro Conjecture beyond the 
       Grassmannian 
506 1  Access is restricted to licensed institutions 
533    Electronic reproduction.|bProvidence, Rhode Island :
       |cAmerican Mathematical Society.|d2012 
538    Mode of access : World Wide Web 
588    Description based on print version record 
650  0 Algebraic varieties 
650  0 Geometry, Algebraic 
650  7 Algebraic geometry -- Real algebraic and real analytic 
       geometry -- None of the above, but in this section.|2msc 
650  7 Algebraic geometry -- Special varieties -- Toric varieties,
       Newton polyhedra.|2msc 
650  7 Algebraic geometry -- Special varieties -- Grassmannians, 
       Schubert varieties, flag manifolds.|2msc 
650  7 Algebraic geometry -- Projective and enumerative geometry 
       -- Classical problems, Schubert calculus.|2msc 
650  7 Algebraic geometry -- Real algebraic and real analytic 
       geometry -- Topology of real algebraic varieties.|2msc 
650  7 Field theory and polynomials -- Real and complex fields --
       Polynomials: location of zeros (algebraic theorems).|2msc 
776 0  |iPrint version: |aSottile, Frank.|tReal solutions to 
       equations from geometry /|w(DLC)   2011019676|x1047-3998
       |z9780821853313 
856 4  |3Contents|uhttp://www.ams.org/ulect/057 
856 4  |3Contents|uhttp://dx.doi.org/10.1090/ulect/057