Anthony J. Scholl

Arithmetic Algebraic Geometry

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Preprints etc (in various forms)

• Integral elements in K-theory and products of modular curves (April 1999)
  This uses the XY fonts - if you don't have them, try this version in PostScript
• L-functions of modular forms and higher regulators
  (book in preparation)
• On some l-adic representations of Gal(Qbar/Q) attached to noncongruence subgroups
• On l-adic representations attached to noncongruence subgroups II (1993, unpublished)
• Slides from my lecture in Banff, May 1998 (nicer if you have a colour monitor).

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Publications

• An introduction to Kato's Euler systems
  In: Galois representations in arithmetic algebraic geometry, ed. A. J. Scholl and R. L. Taylor. Cambridge University Press 1998, 379-460
  A minor correction to the above.
• On the Hecke algebra of a noncongruence subgroup
  Bull. London Math. Soc. 29 (1997), 395-399
  See also Addendum
• Vanishing cycles and non-classical parabolic cohomology
  Published version - preprint version
  Inventiones math. 124 (1996), 503-524
• Height pairings and special values of L-functions (with separate diagrams)
  In: Motives, Seattle 1991, ed. U. Jannsen, S. Kleiman, J-P. Serre. Proc Symp. Pure Math 55 (1994), part 1, 571-598
• Classical motives
  In: Motives, Seattle 1991, ed. U. Jannsen, S. Kleiman, J-P. Serre. Proc Symp. Pure Math 55 (1994), part 1, 163-187
• Higher Chow groups, extensions of motives and special values of L-functions
  Séminaire de théorie de nombres de Paris 1992, ed. S. David. Progress in Mathematics 116 (1993), 279-292
• Modular forms and algebraic K-theory
  Journées Arithmétiques de Genève 1991, ed. D. Coray. Astérisque 209 (1992), 85-97
• The boundary of the Eisenstein symbol (with N. Schappacher)
  Math. Annalen 290 (1991), 303-321 Erratum, Math. Annalen 290 (1991), 815
• The Beilinson Conjectures (with C. Deninger)
  In: L-functions in Arithmetic, ed. Coates-Taylor (Cambridge, 1991), 173-209
• Remarks on special values of L-functions.
  In: L-functions in Arithmetic, ed. Coates-Taylor (Cambridge, 1991) 373-392
• Motives for modular forms
  Inventiones math. 100 (1990), 419-430 Corrections
• On modular units
  Math. Annalen 285 (1989), 503-510
• The l-adic representations associated to a certain noncongruence subgroup
  J. für die reine und ang. Math. 392 (1988), 1-15
• Beilinson's theorem on modular curves (with N. Schappacher)
  In: Beilinson's conjectures on special values of L-functions, ed. Rapoport-Schappacher-Schneider. Perspectives in Mathematics 4 (Academic Press 1988), 273-304
• Modular forms on noncongruence subgroups
  Seminaire de Theorie des Nombres de Paris, 1985-1986, Birkhauser (1987), 199-206
• Fourier coefficients of Eisenstein series on noncongruence subgroups
  Math. Proc. Camb. Phil. Soc. 99 (1986), 11-17
• A finiteness theorem for del Pezzo surfaces over algebraic number fields
  J. London Math. Soc. (2) 32 (1985), 31-40
• Modular forms and de Rham cohomology; Atkin-Swinnerton-Dyer congruences
  Inventiones math. 79 (1985), 49-77
• A trace formula for F-crystals
  Inventiones math. 79 (1985), 31-48
• On the algebra of modular forms on a congruence subgroup
  Math. Proc. Camb. Phil. Soc. 86 (1979), 461-466

Other things and places

• Pure Mathematics Home Page
• Department of Mathematical Sciences Home Page
• Electronic Mathematics Journals (local access only)

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