no. 2
Polar classes of singular varieties
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 11 (1978) no. 2, pp. 247-276 
@article{ASENS_1978_4_11_2_247_0,
     author = {Piene, Ragni},
     title = {Polar classes of singular varieties},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {247--276},
     year = {1978},
     publisher = {Elsevier},
     volume = {Ser. 4, 11},
     number = {2},
     doi = {10.24033/asens.1346},
     mrnumber = {80j:14051},
     zbl = {0401.14007},
     language = {en},
     url = {https://www.numdam.org/articles/10.24033/asens.1346/}
}
TY  - JOUR
AU  - Piene, Ragni
TI  - Polar classes of singular varieties
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 1978
SP  - 247
EP  - 276
VL  - 11
IS  - 2
PB  - Elsevier
UR  - https://www.numdam.org/articles/10.24033/asens.1346/
DO  - 10.24033/asens.1346
LA  - en
ID  - ASENS_1978_4_11_2_247_0
ER  - 
%0 Journal Article
%A Piene, Ragni
%T Polar classes of singular varieties
%J Annales scientifiques de l'École Normale Supérieure
%D 1978
%P 247-276
%V 11
%N 2
%I Elsevier
%U https://www.numdam.org/articles/10.24033/asens.1346/
%R 10.24033/asens.1346
%G en
%F ASENS_1978_4_11_2_247_0
Piene, Ragni. Polar classes of singular varieties. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 11 (1978) no. 2, pp. 247-276. doi: 10.24033/asens.1346

[A-K] A. Altman and S. L. Kleiman, Introduction to Grothendieck Duality Theory (Lecture Notes in Math., No. 146, Springer-Verlag, 1970). | Zbl | MR

[Ba] H. F. Baker, Principles of Geometry, Vol. VI, Introduction to the Theory of Algebraic Surfaces and Higher Loci, Cambridge Univ. Press, 1933. | Zbl

[Be] L. Berzolari, Allgemeine Theorie der höheren ebenen algebraischen Kurven (Enzyklopädie der Math. Wissenschaften, Vol. III, C. 4. Leipzig, 1906). | JFM

[E] M. Eger, Sur les systèmes canoniques d'une variété algébrique (C. R. Acad. Sc., Paris, T. 204. 1937, pp. 217-219). | Zbl | JFM

[EGA IV] A. Grothendieck et J. Dieudonné, Éléments de géométrie algébrique, IV (Publ. Math. I.H.E.S., Vol. 20, 24, 28, 32, Paris, 1964-1967). | Numdam

[E-C] F. Enriques et O. Chisini, Teoria Geometrica delle Equazioni, Vol. II, Bologna, 1918.

[Fi] H. Fitting, Die Determinentalideale eines Moduls (Jber. Deutsch. Math.-Verein, Vol. 46, 1936, pp. 195-228). | Zbl | JFM

[Fu] W. Fulton, Rational Equivalence on Singular Varieties (Publ. Math. I.H.E.S., Vol. 45, Paris, 1976). | Zbl | Numdam

[F-M] W. Fulton and R. Macpherson (to appear).

[G-R] L. Gruson et M. Raynaud, Critères de platitude et de projectivité (Inv. Math., Vol. 13, 1971, pp. 1-89). | Zbl | MR

[Hi] H. Hironaka, On the Arithmetic Genera and the Effective Genera of Algebraic Curves (Mem. Coll. Sc., Univ. Kyoto, Ser. A, Vol. XXX, Math. No. 2, 1956, pp. 177-194). | Zbl | MR

[Ho] M. Hochster, Grassmannians and their Schubert Subvarieties are Arithmetically Cohen-Macaulay (J. Algebra, Vol. 25, 1973, pp. 40-57). | Zbl | MR

[Ka] I. Kaplansky, Commutative rings, The Univ. of Chicago Press, 1974 (rev. ed.). | Zbl | MR

[K-L] G. Kempf and D. Laksov, The Determinantal Formula of Schubert calculus (Acta Math., Vol. 132, 1974, pp. 153-162). | Zbl | MR

[Kl 1] S. L. Kleiman, The Transversality of a General Translate (Comp. Math., Vol. 38, 1974, pp. 287-297). | Zbl | MR | Numdam

[Kl 2] S. L. Kleiman, The Enumerative Theory of Singularities (in Real and Complex Singularities, Oslo 1976 (Sijthoff and Noordhoff)). | Zbl

[Lk] D. Laksov, The Arithmetic Cohen-Macaulay Character of Schubert Schemes (Acta Math., Vol. 129, 1972, pp. 1-9). | Zbl

[Lx] A. Lascoux, Puissances extérieures, déterminants et cycles de Schubert (Bull. Soc. math. Fr., T. 102, 1974, pp. 161-179). | Zbl | MR | Numdam

[Lm] G. Laumon, Degré de la variété duale d'une hypersurface à singularités isolées (Bull. Soc. math. Fr., T. 104, 1976, pp. 51-63). | Zbl | MR | Numdam

[Ll] E. Lluis, De las singularidades que aparacen al proyectar variedades algebraicas (Bol. Soc. Mat. Mexicana, Ser. 2, Vol. 1, 1956, pp. 1-9). | Zbl

[N] A. Nobile, Some Properties of the Nash blowing-up (Pac. J. Math., Vol. 60, 1975, pp. 297-305). | Zbl | MR

[Pi] R. Piene, Numerical characters of a Curve in Projective n-space in Real and Complex Singularities, Oslo 1976 (Sijthoff and Noordhoff)). | Zbl

[Pl] J. Plücker, Theorie der algebraischen Kurven, Bonn, 1839.

[Ph 1] W. F. Pohl, Differential Geometry of Higher Order (Topology, Vol. 1, 1962, pp. 169-211). | Zbl | MR

[Ph 2] W. F. Pohl, Extrinsic Complex Projective Geometry (Proc. Conf. Complex Analysis, Minneapolis, Springer-Verlag, Berlin, 1965). | Zbl | MR

[Po] J. V. Poncelet, Traité des propriétés projectives des figures, ouvrage utile à ceux qui s'occupent des applications de la géométrie descriptive et d'opérations géométriques sur le terrain, Vol. 2, 2nd éd., Paris, 1865-1866.

[Pt] I. R. Porteous, Todd's Canonical Classes, Liverpool singularities symposium I (Lecture Notes in Math., No. 192, Springer-Verlag, 1971). | Zbl

[Rb 1] J. Roberts, Generic Projections of Algebraic Varieties (Amer. J. Math., Vol. 93, 1971, pp. 191-215). | Zbl | MR

[Rb 2] J. Roberts, A Stratification of the Dual Variety (Summary of results with indications of proof), Preprint, 1976.

[Rs] M. Rosenlicht, Equivalence Relation on Algebraic curves (Ann. of Math., Vol. 56, 1952, pp. 169-191). | Zbl | MR

[Rt] L. Roth, Some Formulas for Primals in Four Dimensions (Proc. London Math. Soc., Ser. 2, Vol. 35, 1933, pp. 540-550). | Zbl | JFM

[SGA 7 I] D. Rim, Formal Deformation Theory, Exposé VI in Groupes de Monodromie en Géométrie algébrique (SGA 7) (Lecture Notes in Math., No. 288, Springer-Verlag, 1972). | Zbl | MR

[SGA 7 II] N. Katz, Pinceaux de Lefschetz : théorème d'existence, Exp. XVII in Groupes de Monodrome... (SGA 7) (Lecture Notes in Math., No. 340, Springer-Verlag, 1973). | Zbl | MR

[S] F. Severi, Sulle intersezioni delle varietà algebriche e sopra i loro caratteri e singolarità proiettive (Mem. R. Acc. Sc. Torino, S. II, Vol. 52, 1902, pp. 61-118). | JFM

[Te] B. Teissier, Sur diverses conditions numériques d'équisingularité des familles de courbes, preprint, 1975.

[To] J. A. Todd, The Arithmetical Invariants of Algebraic loci (Proc. London Math. Soc., Vol. 43, 1937, pp. 190-225). | Zbl | JFM

[V] J.-L. Verdier, Le théorème de Riemann-Roch pour les variétés algébriques éventuellement singulières (d'après P. BAUM, W. FULTON et R. MACPHERSON) (Séminaire Bourbaki, 27e année, No. 464, 1974-1975). | Zbl | Numdam

[Wk] R. J. Walker, Algebraic Curves, Dover Publ., New York, 1962. | Zbl | MR

[Wl] W. Wallace, Tangency and Duality over Arbitrary Fields (Proc. London Math. Soc., (3), Vol. 6, 1956, pp. 321-342). | Zbl | MR

Cité par Sources :