Enumerative geometry for the real grassmannian of lines in projective space

Duke Mathematical Journal

Volumn 87, Issue 1, 1997, Pages 59-85

  Sottile, Frank ^a,b  

^a UNIVERSITY OF TORONTO   (Canada)

^b MATHEMATICAL SCIENCES RESEARCH INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002925584     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-97-08703-2     Document Type: Article

References (16)

1. C. I. Byrnes, “Pole assignment by output feedback” in Three Decades of Mathematical System Theory, Lecture Notes in Control and Inform. Sci. 135, Springer-Verlag, Berlin, 1989, 31-78.
2. R. Chiavacci and J. Escamilla-Castillo, Schubert calculus and enumerative problems, Boll. Un. Mat. Ital. A(7) 2 (1988), 119-126.
3. J. S. Frame, G. de B. Robinson, and R. M. Thrall, The hook graphs of the symmetric groups, Canad. J. Math. 6 (1954), 316-324.
4. E. Friedlander and B. Mazur, Filtrations on the Homology of Algebraic Varieties, Mem. Amer. Math. Soc. 110, Amer. Math. Soc., Providence, 1994, no. 529.
5. W. Fulton, Introduction to Intersection Theory in Algebraic Geometry, CBMS Regional Conf. Ser. in Math. 54, Amer. Math. Soc., Providence, 1984.
6. M. Haiman, Dual equivalence with applications, including a conjecture of Proctor, Discrete Math. 99(1992), 79-113.
7. J. Harris, Algebraic Geometry: A First Course, Grad. Texts in Math. 133, Springer-Verlag, New York, 1992.
8. A. G. Khovanskh, Fewnomials, Transi. Math. Monographs 88, Amer. Math. Soc., Providence, 1991.
9. S. Kleiman, The transversality of a general translate, Compositio Math. 28 (1974), 287-297.
10. J. Kollâr, Rational Curves on Algebraic Varieties, Ergeb. Math. Grenzgeb. (3) 32, SpringerVerlag, Berlin, 1996.
11. A. Lascoux and M.-P. Schützenberger, “Le monoïde plaxique” in Noncommutative Structures in Algebra and Geometric Combinatorics (Naples, 1978), Quad. “Ricerca Sci.” 109, CNR, Rome, 1981, 129-156.
12. D. E. Littlewood and A. R. Richardson, Group Characters and Algebra, Philos. Trans. Roy. Soc. London A 233 (1934), 99-141.
13. F. Ronga, A. Tognoli, and T. Vust, The number of conics tangent to 5 given conics: the real case, manuscript, http://www.unige.ch/math/bibl/preprint/liste.html, 1995.
14. B. Sagan, The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions, Wadsworth & Brooks/Cole Math. Ser., Wadsworth & Brooks/Cole Adv. Books & Software, Pacific Grove, Calif., 1991.
15. P. Samuel, Méthodes d’Algèbre Abstraite en Géométrie Algébrique, 2ème éd., Ergeb. Math. Grenzgeb. (4), Springer-Verlag, Berlin, 1967.
16. G. Thomas, On Schensted’s construction and the multiplication of Schur functions, Adv. Math. 30 (1978), 8-32.