The one-motif of an algebraic surface

James A. Carlson

Compositio Mathematica (1985)

  • Volume: 56, Issue: 3, page 271-314
  • ISSN: 0010-437X

How to cite


Carlson, James A.. "The one-motif of an algebraic surface." Compositio Mathematica 56.3 (1985): 271-314. <>.

author = {Carlson, James A.},
journal = {Compositio Mathematica},
keywords = {Néron-Severi group; motivic homomorphism; Torelli theorem; polarized mixed Hodge structure},
language = {eng},
number = {3},
pages = {271-314},
publisher = {Martinus Nijhoff Publishers},
title = {The one-motif of an algebraic surface},
url = {},
volume = {56},
year = {1985},

AU - Carlson, James A.
TI - The one-motif of an algebraic surface
JO - Compositio Mathematica
PY - 1985
PB - Martinus Nijhoff Publishers
VL - 56
IS - 3
SP - 271
EP - 314
LA - eng
KW - Néron-Severi group; motivic homomorphism; Torelli theorem; polarized mixed Hodge structure
UR -
ER -


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  2. [C2] J.A. Carlson: The Obstruction to splitting a mixed Hodge Structure over the Integers, IUniversity of Utah preprint (1979), 120 pp. 
  3. [C3] J.A. Carlson: Polyhedral Resolutions of Algebraic Varieties, to appear in Trans. Am. Math. Soc. Zbl0602.14012MR808740
  4. [D] P. Deligne: Théorie de Hodge II, III, Publ. Math. I.H.E.S.40 (1971) 5-58 and 44 (1975) 6-77. Zbl0237.14003MR498551
  5. [GP] Ph. A. Griffiths: Periods of Rational Integrals I, II, Annals of Math.90 (1969) 460-591. Zbl0215.08103MR260733
  6. [GA] A. Grothendieck: On the Rham cohomology of algebraic varieties, Publ. Math. I.H.E.S.29 (1966) 95-103. Zbl0145.17602MR199194
  7. [M] Yu. I. Manin: Cubic Forms: Algebra, Geometry, Arithmetic, 292 pp. North Holland, Amsterdam (1974). Zbl0277.14014MR460349
  8. [S] J.H.M. Steenbrink: Cohomologically insignificant degenerations, Compositio Math.42 (1981) 315-20 Zbl0428.32017MR607373

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