A singular Riemann-Roch for Hirzebruch characteristics

Shoji Yokura

Banach Center Publications (1998)

  • Volume: 44, Issue: 1, page 257-268
  • ISSN: 0137-6934

How to cite


Yokura, Shoji. "A singular Riemann-Roch for Hirzebruch characteristics." Banach Center Publications 44.1 (1998): 257-268. <http://eudml.org/doc/208889>.

author = {Yokura, Shoji},
journal = {Banach Center Publications},
keywords = {Riemann-Roch-theorem; Hirzebruch characteristic},
language = {eng},
number = {1},
pages = {257-268},
title = {A singular Riemann-Roch for Hirzebruch characteristics},
url = {http://eudml.org/doc/208889},
volume = {44},
year = {1998},

AU - Yokura, Shoji
TI - A singular Riemann-Roch for Hirzebruch characteristics
JO - Banach Center Publications
PY - 1998
VL - 44
IS - 1
SP - 257
EP - 268
LA - eng
KW - Riemann-Roch-theorem; Hirzebruch characteristic
UR - http://eudml.org/doc/208889
ER -


  1. [BFM] P. Baum, W. Fulton and R. MacPherson, Riemann-Roch for singular varieties, Inst. Hautes Études Sci. Publ. Math. 45 (1975), 101-145. Zbl0332.14003
  2. [BS] A. Borel and J.-P. Serre, Le théorème de Riemann-Roch (d'apres Grothendieck), Bull. Soc. Math. France 86 (1958), 97-136. 
  3. [BrSc] J.-P. Brasselet and M. H. Schwartz, Sur les classes de Chern d'une ensemble analytique complexe, Astérisque 82-83 (1981), 93-148. 
  4. [CS-1] S. Cappell and J. Shaneson, Stratified maps and topological invariants, J. Amer. Math. Soc. 4 (1991), 521-551. Zbl0746.32016
  5. [CS-2] S. Cappell and J. Shaneson, Genera of algebraic varieties and counting lattice points, Bull. Amer. Math. Soc. 30 (1994), 62-69. Zbl0847.14010
  6. [GM] M. Goresky and R. MacPherson, Intersection homology theory, Topology 19 (1980), 135-162. Zbl0448.55004
  7. [Gr] A. Grothendieck, Sur quelques points d'algébre homologique, Tôhoku Math. J. 9 (1957), 119-221. Zbl0118.26104
  8. [Ha] R. Hartshorne, Algebraic Geometry, Graduate Texts in Math. 52, Springer, New York, 1977. 
  9. [Hi-1] F. Hirzebruch, Topological Methods in Algebraic Geometry, Springer, New York, 1966. 
  10. [Hi-2] F. Hirzebruch, The signature theorem: reminiscences and recreation in: Prospects in Mathematics, Ann. of Math. Stud. 70, Princeton Univ. Press, Princeton, 1971, 3-31. 
  11. [HBJ] F. Hirzebruch, T. Berger and R. Jung, Manifolds and Modular Forms, Aspects Math. E20, Vieweg, Braunschweig, 1992. 
  12. [Mac] R. MacPherson, Chern classes for singular algebraic varieties, Ann. of Math. (2) 100 (1974), 423-432. Zbl0311.14001
  13. [Man] Yu. I. Manin, Lectures on the K-functor in algebraic geometry, Russian Math. Surveys 24 (1969), 1-89. Zbl0204.21302
  14. [Sh] J. Shaneson, Characteristic classes, lattice points and Euler-MacLaurin formulae, in: Proceedings of the International Congress of Mathematicians (Zürich, 1994), Birkhäuser, Basel, 1995, 612-624. Zbl0846.57018
  15. [Y-1] S. Yokura, An extension of Baum-Fulton-MacPherson's Riemann-Roch for singular varieties, Publ. Res. Inst. Math. Sci. 29 (1993), 997-1020. Zbl0810.14006
  16. [Y-2] S. Yokura, A generalized Grothendieck-Riemann-Roch theorem for Hirzebruch’s χ y -characteristic and T y -characteristic, Publ. Res. Inst. Math. Sci. 30 (1994), 603-610. Zbl0836.14006
  17. [Y-3] S. Yokura, On Cappell-Shaneson's homology L-classes for singular algebraic varieties, Trans. Amer. Math. Soc. 347 (1995), 1005-1012. Zbl0829.57012

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.