previous :: next
A generalization of Griffiths' theorem on rational integrals, II
Alexandru Dimca, Morihiko Saito, and Lorenz Wotzlaw
Source: Michigan Math. J. Volume 58, Issue 3
(2009), 603-625.
First Page:
Show
Hide
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.mmj/1260475692
Digital Object Identifier: doi:10.1307/mmj/1260475692
Zentralblatt MATH identifier: 05665436
Mathematical Reviews number (MathSciNet): MR2595556
References
W. Barth, Two projective surfaces with many nodes, admitting the symmetries of the icosahedron, J. Algebraic Geom. 5 (1996), 173--186.
Mathematical Reviews (MathSciNet): MR1358040
Zentralblatt MATH: 0860.14032
A. Beilinson, J. Bernstein, and P. Deligne, Faisceaux pervers, Analysis and topology on singular spaces, I (Luminy, 1981), Astérisque 100 (1982), 5--171.
Mathematical Reviews (MathSciNet): MR751966
E. Brieskorn, Die Monodromie der isolierten Singularitäten von Hyperflächen, Manuscripta Math. 2 (1970), 103--161.
Mathematical Reviews (MathSciNet): MR267607
Digital Object Identifier: doi:10.1007/BF01155695
P. Deligne, Equations différentielles à points singuliers réguliers, Lecture Notes in Math, 163, Springer-Verlag, Berlin, 1970.
Mathematical Reviews (MathSciNet): MR417174
------, Théorie de Hodge I, Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 1, pp. 425--430, Gauthier-Villars, Paris, 1971; II, Inst. Hautes Études Sci. Publ. Math. 40 (1971), 5--57; III, Inst. Hautes Études Sci. Publ. Math. 44 (1974), 5--77.
Mathematical Reviews (MathSciNet): MR441965
P. Deligne and A. Dimca, Filtrations de Hodge et par l'ordre du pôle pour les hypersurfaces singulières, Ann. Sci. Ecole Norm. Sup. (4) 23 (1990), 645--656.
Mathematical Reviews (MathSciNet): MR1072821
A. Dimca, Singularities and topology of hypersurfaces, Springer-Verlag, New York, 1992.
Mathematical Reviews (MathSciNet): MR1194180
Zentralblatt MATH: 0753.57001
------, Hodge numbers of hypersurfaces, Abh. Math. Sem. Univ. Hamburg 66 (1996), 377--386.
Mathematical Reviews (MathSciNet): MR1418240
A. Dimca and M. Saito, A generalization of Griffiths's theorem on rational integrals, Duke Math. J. 135 (2006), 303--326.
Mathematical Reviews (MathSciNet): MR2267285
Zentralblatt MATH: 1117.14012
Digital Object Identifier: doi:10.1215/S0012-7094-06-13523-8
Project Euclid: euclid.dmj/1161093266
M. Goresky and R. MacPherson, Intersection homology theory, Topology 19 (1980), 135--162.
Mathematical Reviews (MathSciNet): MR572580
Digital Object Identifier: doi:10.1016/0040-9383(80)90003-8
M. Green, Infinitesimal method in Hodge theory, Algebraic cycles and Hodge theory (Torino, 1993), Lecture Notes in Math., 1594, pp. 1--92, Springer-Verlag, Berlin, 1994.
Mathematical Reviews (MathSciNet): MR1335239
Zentralblatt MATH: 0846.14001
P. Griffiths, On the period of certain rational integrals I, II, Ann. of Math. (2) 90 (1969), 460--541.
Mathematical Reviews (MathSciNet): MR260733
Digital Object Identifier: doi:10.2307/1970747
JSTOR: links.jstor.org
O. A. Ivanov and N. Yu. Netsvetaev, Estimates of the number of singularities of a complex hypersurface and related questions, J. Math. Sci. (New York) 91 (1998), 3448--3455.
Mathematical Reviews (MathSciNet): MR1434291
M. Kashiwara, Vanishing cycle sheaves and holonomic systems of differential equations, Algebraic geometry (Tokyo/Kyoto, 1982), Lecture Notes in Math., 1016, pp. 134--142, Springer-Verlag, Berlin, 1983.
Mathematical Reviews (MathSciNet): MR726425
Zentralblatt MATH: 0566.32022
B. Malgrange, Le polynôme de Bernstein d'une singularité isolée, Lecture Notes in Math., 459, pp. 98--119, Springer-Verlag, Berlin, 1975.
Mathematical Reviews (MathSciNet): MR419827
Digital Object Identifier: doi:10.1007/BFb0074194
------, Polynôme de Bernstein--Sato et cohomologie évanescente, Analysis and topology on singular spaces, II, III (Luminy, 1981), Astérisque 101--102 (1983), 243--267.
Mathematical Reviews (MathSciNet): MR737934
M. Saito, Mixed Hodge modules, Publ. Res. Inst. Math. Sci. 26 (1990), 221--333.
Mathematical Reviews (MathSciNet): MR1047415
Digital Object Identifier: doi:10.2977/prims/1195171082
------, On $b$-function, spectrum and rational singularity, Math. Ann. 295 (1993), 51--74.
Mathematical Reviews (MathSciNet): MR1198841
Zentralblatt MATH: 0788.32025
Digital Object Identifier: doi:10.1007/BF01444876
------, On the Hodge filtration of Hodge modules, RIMS preprint 1078, May 1996, math.AG/0504177.
------, e-mail to L. Wotzlaw, Jan. 27, 2005.
J. H. M. Steenbrink, Mixed Hodge structure on the vanishing cohomology, Real and complex singularities (Proc. Nordic Summer School, Oslo, 1976), pp. 525--563, Sijthoff & Noordhoff, Alphen a/d Rijn, 1977.
Mathematical Reviews (MathSciNet): MR485870
A. N. Varchenko, Semicontinuity of the spectrum and an upper bound for the number of singular points of the projective hypersurface, Dokl. Akad. Nauk SSSR 270 (1983), 1294--1297.
Mathematical Reviews (MathSciNet): MR712934
L. Wotzlaw, Intersection cohomology of hypersurfaces, Ph.D. dissertation (preprint), Humboldt Universität zu Berlin, August 2006.
previous :: next
The Michigan Mathematical Journal
