An explicit $\bar \partial$-integration formula for weighted homogeneous varieties II. Forms of higher degree
Jean Ruppenthal and E. S. Zeron
Source: Michigan Math. J. Volume 59, Issue 2
(2010), 283-295.
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References
F. Acosta and E. S. Zeron, Hölder estimates for the $\bar\partial$-equation on surfaces with simple singularities, Bol. Soc. Mat. Mexicana (3) 12 (2006), 193--204.
Mathematical Reviews (MathSciNet): MR2292983
------, Hölder estimates for the $\bar\partial$-equation on surfaces with singularities of the type $E_6$ and $E_7,$ Bol. Soc. Mat. Mexicana (3) 13 (2007), 73--86.
K. Diederich, J. E. Fornæss, and S. Vassiliadou, Local $L^2$ results for $\bar\partial$ on a singular surface, Math. Scand. 92 (2003), 269--294.
Mathematical Reviews (MathSciNet): MR1973947
Zentralblatt MATH: 1033.32005
A. Dimca, Singularities and topology of hypersurfaces, Springer-Verlag, New York, 1992.
Mathematical Reviews (MathSciNet): MR1194180
Zentralblatt MATH: 0753.57001
J. E. Fornæss, $L^2$ results for $\bar\partial$ in a conic, Complex analysis and related topics (Cuernavaca, 1996), Oper. Theory: Adv. Appl., 114, pp. 67--72, Birkhäuser, Basel, 2000.
Mathematical Reviews (MathSciNet): MR1748002
J. E. Fornæss and E. A. Gavosto, The Cauchy Riemann equation on singular spaces, Duke Math. J. 93 (1998), 453--477.
Mathematical Reviews (MathSciNet): MR1626719
Zentralblatt MATH: 1047.32500
Digital Object Identifier: doi:10.1215/S0012-7094-98-09315-2
Project Euclid: euclid.dmj/1077231101
J. E. Fornæss, N. Øvrelid, and S. Vassiliadou, Semiglobal results for $\bar\partial$ on a complex space with arbitrary singularities, Proc. Amer. Math. Soc. 133 (2005), 2377--2386.
Mathematical Reviews (MathSciNet): MR2138880
Zentralblatt MATH: 1073.32022
Digital Object Identifier: doi:10.1090/S0002-9939-05-07963-3
------, Local $L^2$ results for $\bar\partial$: The isolated singularities case, Internat. J. Math. 16 (2005), 387--418.
Mathematical Reviews (MathSciNet): MR2133263
Zentralblatt MATH: 1081.32024
Digital Object Identifier: doi:10.1142/S0129167X05002928
E. A. Gavosto, Hölder estimates for the $\bar\partial$-equation in some domains of finite type, J. Geom. Anal. 7 (1997), 593--609.
Mathematical Reviews (MathSciNet): MR1669223
G. Henkin and J. Leiterer. Andreotti--Grauert theory by integral formulas, Progr. Math., 74, Birkhäuser, Basel, 1988.
Mathematical Reviews (MathSciNet): MR986248
I. Lieb and J. Michel, The Cauchy--Riemann complex. Integral formulae and Neumann problem, Aspects Math., E34, Vieweg, Braunschweig, 2002.
Mathematical Reviews (MathSciNet): MR1900133
Zentralblatt MATH: 0994.32002
N. Øvrelid and S. Vassiliadou, Solving $\bar\partial$ on product singularities, Complex Var. Elliptic Equ. 51 (2006), 225--237.
Mathematical Reviews (MathSciNet): MR2200978
W. L. Pardon and M. A. Stern, $L^2$-$\bar\partial$-cohomology of complex projective varieties, J. Amer. Math. Soc. 4 (1991), 603--621.
------, Pure Hodge structure on the $L^2$-cohomology of varieties with isolated singularities, J. Reine Angew. Math. 533 (2001), 55--80.
Mathematical Reviews (MathSciNet): MR1823864
R. M. Range, Holomorphic functions and integral representations in several complex variables, Grad. Texts in Math., 108, Springer-Verlag, New York, 1986.
Mathematical Reviews (MathSciNet): MR847923
Zentralblatt MATH: 0591.32002
J. Ruppenthal, Zur Regularität der Cauchy--Riemannschen Differentialgleichungen auf komplexen Räumen, Bonner Math. Schriften 380 (2006), 1--215.
------, About the $\bar\partial$-equation at isolated singularities with regular exceptional set, Internat. J. Math. 20 (2009), 459--489.
Mathematical Reviews (MathSciNet): MR2515050
Zentralblatt MATH: 1180.32015
Digital Object Identifier: doi:10.1142/S0129167X09005388
------, The $\bar\partial$-equation on homogeneous varieties with an isolated singularity, Math. Z. 263 (2009), 447--472.
Mathematical Reviews (MathSciNet): MR2534126
Zentralblatt MATH: 1187.32007
Digital Object Identifier: doi:10.1007/s00209-008-0425-3
J. Ruppenthal and E. S. Zeron, An explicit $\bar\partial$-integration formula for weighted homogeneous varieties, Michigan Math. J. 58 (2009), 441--457.
Mathematical Reviews (MathSciNet): MR2595548
Digital Object Identifier: doi:10.1307/mmj/1250169071
G. Scheja, Riemannsche Hebbarkeitssätze für Cohomologieklassen, Math. Ann. 144 (1961), 345--360.
Mathematical Reviews (MathSciNet): MR148941
Digital Object Identifier: doi:10.1007/BF01470506
M. Solís and E. S. Zeron, Hölder estimates for the $\bar\partial$-equation on singular quotient varieties, Bol. Soc. Mat. Mexicana (3) 14 (2008), 35--47.
Mathematical Reviews (MathSciNet): MR2667154
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