@article{ASENS_1988_4_21_3_413_0, author = {Pragacz, Piotr}, title = {Enumerative geometry of degeneracy loci}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {413--454}, publisher = {Elsevier}, volume = {Ser. 4, 21}, number = {3}, year = {1988}, doi = {10.24033/asens.1563}, mrnumber = {90e:14004}, zbl = {0687.14043}, language = {en}, url = {http://archive.numdam.org/articles/10.24033/asens.1563/} }
TY - JOUR AU - Pragacz, Piotr TI - Enumerative geometry of degeneracy loci JO - Annales scientifiques de l'École Normale Supérieure PY - 1988 SP - 413 EP - 454 VL - 21 IS - 3 PB - Elsevier UR - http://archive.numdam.org/articles/10.24033/asens.1563/ DO - 10.24033/asens.1563 LA - en ID - ASENS_1988_4_21_3_413_0 ER -
Pragacz, Piotr. Enumerative geometry of degeneracy loci. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 21 (1988) no. 3, pp. 413-454. doi : 10.24033/asens.1563. http://archive.numdam.org/articles/10.24033/asens.1563/
[B-R] Hook Young Diagrams With Applications to Combinatorics and to Representation Theory of Lie Superalgebras (Adv. in Math., Vol. 64, pp. 118-175, 1987). | MR | Zbl
, ,[B-H] Pieri Formula for SO2n + 1/Un and Spn/Un (Adv. in Math., Vol. 62, pp. 49-68, 1986). | MR | Zbl
, ,[F] Intersection Theory, Springer Verlag, 1984. | MR | Zbl
,[G-G] Stable Mappings and their Singularities (Graduate Texts in Math., Vol. 14, Springer-Verlag, 1973). | MR | Zbl
, ,[H-T] Chern Numbers of Kernel and Cokernel Bundles (Invent. Math., Vol. 75, pp. 467-475, 1984). | MR | Zbl
, ,[H] Topological Methods in Algebraic Geometry (Grundlehren der Math., Wissenschaften, Vol. 131, 1956, Third Enlarged, Springer-Verlag, 1966). | MR | Zbl
,[J-L-P] Classes of Determinantal Varieties Associated with Symmetric and Antisymmetric Matrices (Izwiestja A.N. S.S.S.R., Vol. 45, N° 9, pp. 662-673, 1981). | MR | Zbl
, , ,[K-L] The Determinantal Formula of Schubert Calculus (Acta Math., Vol. 132, pp. 153-162, 1974). | MR | Zbl
, ,[L-L-T] On Giambelli's Theorem on Complete Correlations, to Appear in Acta Mathematica. | Zbl
, , ,[L] Puissances extérieures, déterminants et cycles de Schubert (Bull. Soc. Math., France, Vol. 102, pp. 161-179, 1974). | Numdam | MR | Zbl
,[L-S] Formulaire raisonné de fonctions symétriques, prépublication de l'Université Paris VII, 1985.
, ,[M] Symmetric Functions and Hall Polynomials, Oxford Univ. Press, 1979. | MR | Zbl
,[Mo] A Note on the Multiplication of Hall Functions (J. London Math. Soc., Vol. 39, pp. 481-488, 1964). | MR | Zbl
,[Po] Simple Singularities of Maps, Proc. Liverpool Singularities Symposium I (Lecture Notes in Mathematics, Vol. 192, pp. 286-307, 1971). | MR | Zbl
,[P1] Determinantal Varieties and Symmetric Polynomials (Functional Analysis and Its Applications, Vol. 21, N° 3, pp. 89-90, 1987). | MR | Zbl
,[P2] A Note on Elimination Theory (Proc. Kon. Ned. Akad. van Wetensh., Vol. A 90 (2) (= Indagationes Math., Vol. 49 (2)), pp. 215-221, 1987). | MR | Zbl
,[P3] Algebro-Geometric Applications of Schur S- and Q-Polynomials (in preparation in Séminaire d'Algèbre Dubreil-Malliavin 1987-1988, Springer Lecture Notes in Math.). | Zbl
,[S] Allgemaine Anzahlfunctionen für Kegelschnitte, Flöchen und Röume zweiten Grades in n Dimensionen (Math. Ann., Vol. 45, pp. 153-206, 1894). | JFM
,[Sch] Uber die Darstellung der Symmetrischen und den Alternierenden Gruppe durch Gebrochene Lineare Substitutionen (Journal für die reine u. angew. Math., Vol. 139, pp. 155-250, 1911). | JFM
,[St] Problem 4 in Problem Session, Combinatorics and Algebra (Contemporary Mathematics, A.M.S., Vol. 34, 1984). | MR
,[T] Les ensembles singuliers d'une application différentiable et leurs propriétés homologiques, Séminaire de Topologie de Strasbourg, (December 1957).
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