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Volumn 274, Issue 3-4, 2013, Pages 761-778

Mixed discriminants

Author keywords

A discriminant; Cayley polytope; Degree; Matroid strata; Mixed Grassmannian; Multiple root; Tropical discriminant

Indexed keywords


EID: 84880623317     PISSN: 00255874     EISSN: 14321823     Source Type: Journal    
DOI: 10.1007/s00209-012-1095-8     Document Type: Article
Times cited : (34)

References (18)
  • 1
    • 29244436332 scopus 로고    scopus 로고
    • The Bergman complex of a matroid and phylogenetic trees
    • Ardila, F., Klivans, C. J.: The Bergman complex of a matroid and phylogenetic trees. J. Combin. Theory Ser. B 96(1), 38-49 (2006).
    • (2006) J. Combin. Theory Ser. B , vol.96 , Issue.1 , pp. 38-49
    • Ardila, F.1    Klivans, C.J.2
  • 2
    • 84867191424 scopus 로고    scopus 로고
    • Degrés d'homogénéité de l'ensemble des intersections complètes singulières
    • Benoist, O.: Degrés d'homogénéité de l'ensemble des intersections complètes singulières. Annales de l'Institut Fourier 62(3), 1189-1214 (2012).
    • (2012) Annales de l'Institut Fourier , vol.62 , Issue.3 , pp. 1189-1214
    • Benoist, O.1
  • 3
    • 34250406508 scopus 로고
    • The number of roots of a system of equations
    • Bernstein, D. N.: The number of roots of a system of equations. Funkcional Anal. i Prilož. 9(3), 1-4 (1975).
    • (1975) Funkcional Anal. I Prilož. , vol.9 , Issue.3 , pp. 1-4
    • Bernstein, D.N.1
  • 4
    • 44649181011 scopus 로고    scopus 로고
    • Projective ℚQ-factorial toric varieties covered by lines
    • Casagrande, C., Di Rocco, S.: Projective ℚQ-factorial toric varieties covered by lines. Commun. Contemp. Math. 10(3), 363-389 (2008).
    • (2008) Commun. Contemp. Math. , vol.10 , Issue.3 , pp. 363-389
    • Casagrande, C.1    Di Rocco, S.2
  • 6
    • 33751439528 scopus 로고    scopus 로고
    • Restriction of A-discriminants and dual defect toric varieties
    • Curran, R., Cattani, E.: Restriction of A-discriminants and dual defect toric varieties. J. Symb. Comput. 42(1-2), 115-135 (2007).
    • (2007) J. Symb. Comput. , vol.42 , Issue.1-2 , pp. 115-135
    • Curran, R.1    Cattani, E.2
  • 8
    • 0036696612 scopus 로고    scopus 로고
    • Elimination theory in codimension 2
    • Dickenstein, A., Sturmfels, B.: Elimination theory in codimension 2. J. Symb. Comput. 34(2), 119-135 (2002).
    • (2002) J. Symb. Comput. , vol.34 , Issue.2 , pp. 119-135
    • Dickenstein, A.1    Sturmfels, B.2
  • 9
    • 33745017917 scopus 로고    scopus 로고
    • Projective duality of toric manifolds and defect polytopes
    • Di Rocco, S.: Projective duality of toric manifolds and defect polytopes. Proc. London Math. Soc. (3), 93(1), 85-104 (2006).
    • (2006) Proc. London Math. Soc. (3) , vol.93 , Issue.1 , pp. 85-104
    • Di Rocco, S.1
  • 10
    • 77952011733 scopus 로고    scopus 로고
    • Newton polyhedra of discriminants of projections
    • Esterov, A.: Newton polyhedra of discriminants of projections. Discret. Comput. Geom. 44(1), 96-148 (2010).
    • (2010) Discret. Comput. Geom. , vol.44 , Issue.1 , pp. 96-148
    • Esterov, A.1
  • 11
    • 34748916280 scopus 로고    scopus 로고
    • Matroid polytopes, nested sets and Bergman fans
    • (N. S.)
    • Feichtner, E. M., Sturmfels, B.: Matroid polytopes, nested sets and Bergman fans. Port. Math. (N. S.). 62(4), 437-468 (2005).
    • (2005) Port. Math , vol.62 , Issue.4 , pp. 437-468
    • Feichtner, E.M.1    Sturmfels, B.2
  • 13
    • 0003372272 scopus 로고
    • Pinceaux de Lefschetz: Théoréme d'existence
    • (SGA 7 II). In: Lecturer Notes in Mathematics,Springer, Berlin
    • Katz, N.: Pinceaux de Lefschetz: théoréme d'existence. Exposé XVII in Groupes de Monodromie en Géométrie Algébrique (SGA 7 II). In: Lecturer Notes in Mathematics, vol. 340, pp. 212-253. Springer, Berlin (1973).
    • (1973) Exposé XVII in Groupes de Monodromie en Géométrie Algébrique , vol.340 , pp. 212-253
    • Katz, N.1
  • 14
    • 78149500311 scopus 로고    scopus 로고
    • A geometric degree formula for A-discriminants and Euler obstructions of toric varieties
    • Matsui, Y., Takeuchi, K.: A geometric degree formula for A-discriminants and Euler obstructions of toric varieties. Adv. Math. 226(2), 2040-2064 (2011).
    • (2011) Adv. Math , vol.226 , Issue.2 , pp. 2040-2064
    • Matsui, Y.1    Takeuchi, K.2
  • 15
    • 81555228702 scopus 로고    scopus 로고
    • Discriminants and non-negative polynomials
    • Nie, J.: Discriminants and non-negative polynomials. J. Symb. Comput. 47, 167-191 (2012).
    • (2012) J. Symb. Comput. , vol.47 , pp. 167-191
    • Nie, J.1
  • 16
    • 84880625190 scopus 로고    scopus 로고
    • Computing tropical linear spaces
    • (in press)
    • Rincón, E. F.: Computing tropical linear spaces. J. Symb. Comput. (2012, in press).
    • (2012) J. Symb. Comput
    • Rincón, E.F.1
  • 17
    • 84880610479 scopus 로고
    • A treatise on the higher plane curves: intended as a sequel to "A treatise on conic sections", 3rd edn
    • Dublin
    • Salmon, G.: A treatise on the higher plane curves: intended as a sequel to "A treatise on conic sections", 3rd edn. Hodges and Smith, Dublin (1852).
    • (1852) Hodges and Smith
    • Salmon, G.1
  • 18
    • 84968505377 scopus 로고
    • Complexity of Bézout's theorem. I. Geometric aspects
    • Shub, M., Smale, S.: Complexity of Bézout's theorem. I. Geometric aspects. J. Am. Math. Soc. 6(2), 459-501 (1993).
    • (1993) J. Am. Math. Soc. , vol.6 , Issue.2 , pp. 459-501
    • Shub, M.1    Smale, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.