Publications of Jonathan Wahl

Current information as of February. 2018

  1. Thesis: Deformations of Branched Coverings and Equisingularity, Harvard, June 1971, 160 pages.
  2. "Deformations of plane curves with nodes and cusps," Amer. J. Math. 96 (1974), 529-577.
  3. "Equisingular deformations of plane algebroid curves," Trans. AMS 193 (1974), 143-170.
  4. "Local contributions to global deformations," (with D. Burns), Invent. Math. 26 (1974), 67-88.
  5. "Vanishing theorems for resolutions of surface singularities," Invent. Math. 31 (1975), 17-41.
  6. "Equisingular deformations of normal surface singularities I,"Ann. Math. 194 (1976), 325-356.
  7. "Local cohomology groups for resolutions of singularities," Symposia in Pure Math. 30 (1977), 91-94.
  8. "Equations defining rational singularities," Ann. Sci. Ecole Norm. Sup. 10 (1977), 231-264.
  9. "Simultaneous resolution of rational singularities," Comp. Math. 38 (1979), 43-54.
  10. "Simultaneous resolution and discriminantal loci," Duke J. Math. 46 (1979), 341-375.
  11. "Elliptic deformations of minimally elliptic singularities," Math. Ann. 253 (1980), 241-262.
  12. "Global methods in local deformation theory" in Commutative Algebra: Analytic Methods, Marcel Dekker, (1982), 19-26.
  13. "Smoothings of normal surface singularities," Topology 20 (1981), 219-246.
  14. "Derivations of negative weight and non-smoothability of certain singularities," Math. Ann. 258 (1982), 383-398.
  15. "A cohomological characterization of P^n," Invent. Math. 72 (1983), 315-322.
  16. "Derivations, automorphisms, and deformations of quasi- homogeneous singularities," Proc. Symp. Pure Math., Vol. 40 (1983), 613-624.
  17. "A characterization of quasi-homogeneous Gorenstein surface singularities," Compositio Math. 55 (1985), 269-288.
  18. "Quadratic functions and smoothing singularities," (with E. Looijenga), Topology 25 (1986), 261-291.
  19. "The Jacobian algebra of a graded Gorenstein singularity," Duke Math. J. 55 (1987), 843-871.
  20. "Deformations of quasi-homogeneous surface singularities," Math. Ann. 280 (1988), 105-128.
  21. "Gaussian maps on algebraic curves," J. Diff. Geom. 32 (1990), 77-98.
  22. "Casson invariants of links of singularities," (with W. Neumann), Comm. Math. Helv. 65 (1990), 58-78.
  23. "A vanishing theorem for the Artin component of a rational surface singularity," (with O. Riemenschneider and A. Rohr), Math. Ann. 286 (1990), 529-535.
  24. "A characteristic number for links of surface singularities," Journal of the A.M.S. 3 (1990), 625-637.
  25. "Gaussian maps and tensor products of irreducible representations," Manuscripta Math. 73 (1991), 229-260.
  26. "Introduction to Gaussian maps on an algebraic curve," London Math. Soc.Lecture Note Series 179, "Complex Projective Geometry," edited by G. Ellingsrud, C. Peskine, G. Sacchiero, and S. A. Stromme, (1992), Cambridge, 304-323.
  27. "Second Chern class and Riemann-Roch for vector bundles on resolutions of surface singularities," Math. Ann. 295 (1993), 81-110, 1993.
  28. "Miyaoka-Yau inequality for normal surfaces and local analogues," Contemporary Mathematics 162 (1994), 381-402.
  29. "On cohomology of the square of an ideal sheaf," J. Alg. Geom. 8 (1997), 481-512.
  30. "Nodes on sextic hypersurfaces in P^3," J. Diff. Geom. 48 (1998), 439-444.
  31. "Hyperplane sections of Calabi-Yau varieties," J. reine angew. Math. 544 (2002), 39-59.
  32. "Universal abelian covers of surface singularities" (with W. Neumann), Trends in Singularities, edited by A. Libgober and M. Tibar, Birkhauser, Basel (2002), 181-190
  33. "Universal abelian covers of quotient-cusps" (with W. Neumann), Math. Ann. 326 (2003), 75-93.
  34.  "Complete intersection singularities of splice type as universal abelian covers" (with W. Neumann), Geom. Topol. 9 (2005), 699-755. 
  35.  "Complex surface singularities with integral homology sphere links" (with W. Neumann), Geom. Topol. 9 (2005), 757-811.
  36.  "Topology, geometry, and equations of normal surface singularities," in Singularities and Computer Algebra, LMS Lecture Note Series (No. 324), Cambridge University Press (2006).                             
  37.  “Rational blow-downs and smoothings of surface singularities,” (with A. Stipsicz and Z. Szabo),  Journal of Topology 1 (2008), 477-517.                                                                                                  
  38. "The End Curve Theorem for normal complex surface singularities" (with Walter Neumann),  J. Eur. Math. Soc. 12 (2010), 471-503.
  39.  “On rational homology disk smoothings of valency 4 surface singularities,” Geom. Topol. 15 (2011), 1125-1156.
  40.  “Log-terminal smoothing of graded normal surface singularities,” Michigan Math. J. 62 (2013), 475-489.
  41.   Appendix to "Subcanonical graded rings which are not Cohen-Macaulay," by F. Catanese, London Math. Soc. Lecture Notes 417 , Camb. Univ. P. (2014), 92-101.
  42.  “Milnor and Tjurina numbers for smoothings of surface singularities,” Alg. Geom. 2 (3) (2015), 315-331.
  43.  “On the number of equisingular moduli of a rational surface singularity,” Methods Appl. Anal. 24 (2017), no. 1, 125-153.

 

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