Simultaneous resolution of rational singularities

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1. [1] V.I. Arnold: On matrices depending on parameters. Russian Math Surveys26 #2 (1971) 29-43. Zbl0259.15011MR301242
2. [2] M. Artin: Algebraic construction of Brieskorn's resolutions. Journal of Algebra29 (1974) 330-348. Zbl0292.14013MR354665
3. [3] M. Artin: On isolated rational singularities of surfaces. Amer. J. Math.88 (1966) 129-137. Zbl0142.18602MR199191
4. [4] M. Atiyah: On analytic surfaces with double points. Proc. Roy. Soc.A247 (1958) 237-244. Zbl0135.21301MR95974
5. [5] E. Brieskorn: Über die Auflösung gewisser Singularitäten von holomorphen Abbildungen. Math. Ann.166 (1966) 76-102. Zbl0145.09402MR206973
6. [6] E. Brieskorn: Die Auflösung der rationalen Singularitäten holomorpher Abbildungen. Math. Ann.178 (1968) 255-270. Zbl0159.37703MR233819
7. [7] E. Brieskorn: Singular elements of semi-simple algebraic groups. Actes. Congrès Inter. Math.2 (1970) 279-284. Zbl0223.22012MR437798
8. [8] D. Burns and M. Rapoport: On the Torelli problem for Kählerian K-3 surfaces. Ann. Sci. École Norm. Sup.8 (1975) 235-274. Zbl0324.14008MR447635
9. [9] D. Burns and J. Wahl: Local contributions to global deformations of surfaces. Inv. Math.26 (1974) 67-88. Zbl0288.14010MR349675
10. [10] A. Fujuki and S. Nakano: Supplement to On the inverse of monoidal transformation. Publ. Res. Inst. Math. Sci. Kyoto Univ.7 (1971-72) 637-644. Zbl0234.32019MR294712
11. [11] E. Horikawa: Algebraic surfaces of general type with small c21, II. Inv. Math.37 (1976) 121-155. Zbl0339.14025MR460340
12. [12] F. Huikeshoven: On the versal resolutions of deformations of rational double points. Inv. Math.20 (1973) 15-34. Zbl0268.32010MR409885
13. [13] A. Kas: On the resolutions of certain holomorphic mappings. Global Analysis, Tokyo (1969). Zbl0192.57902MR257396
14. [14] J. Lipman: Rational singularities with applications to algebraic surfaces and unique factorization. Publ. Math. I.H.E.S.36 (1969) 195-279. Zbl0181.48903MR276239
15. [15] J. Lipman: Double point resolutions of deformations of rational singularities. Comp. Math.38 (1979) 37-42. Zbl0405.14010MR523261
16. [16] H. Pinkham: Deformations of cones with negative grading. Jour. of Alg.30 (1974) 92-102. Zbl0284.14009MR347822
17. [17] O. Riemenschneider: Deformations of rational singularities and their resolutions. Rice Univ. Stud.59 (1973) 119-130. Zbl0278.32010MR355101
18. [18] G.N. Tjurina: Absolute isolatedness of rational singularities and triple rational points. Funct. Anal. App.2 (1968) 324-332. Zbl0176.50804MR245830
19. [19] G.N. Tjurina: Resolution of singularities of plane deformations of double rational points. Funct. Anal. App.4 (1970) 68-73. Zbl0221.32008MR267129
20. [20] J. Wahl: Vanishing theorems for resolutions of surface singularities. Inv. Math.31 (1975) 17-41. Zbl0314.14010MR409470
21. [21] J. Wahl: Local cohomology groups for resolutions of singularities. Symposia in Pure Math.30 (1977) 91-94. Zbl0371.14004MR447232
22. [22] J. Wahl: Equisingular deformations of normal surface singularities, I. Ann. of Math.104 (1976) 325-356. Zbl0358.14007MR422270
23. [23] J. Wahl: Equations defining rational singularities. Ann. Sci. École Norm. Sup.10 (1977) 231-264. Zbl0367.14004MR444655
24. [24] J. Wahl: On Res → Def for a rational singularity. Informal Research Announcement (1976). 
25. [25] J. Wahl: Simultaneous resolution and discriminantal loci. (to appear). Zbl0472.14002MR534056

1. Joseph Lipman, Double point resolutions of deformations of rational singularities
2. Ulrich Karras, On the discriminant of the Artin component
3. Michel Vaquié, Résolution simultanée d'une famille de singularités rationnelles de surface normale