A singular Riemann-Roch for Hirzebruch characteristics

Shoji Yokura

A singular Riemann-Roch for Hirzebruch characteristics

Shoji Yokura

Banach Center Publications (1998)

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

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

@article{Yokura1998,
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},
}

TY - JOUR
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 -

References

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[Hi-1] F. Hirzebruch, Topological Methods in Algebraic Geometry, Springer, New York, 1966.
[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.
[HBJ] F. Hirzebruch, T. Berger and R. Jung, Manifolds and Modular Forms, Aspects Math. E20, Vieweg, Braunschweig, 1992.
[Mac] R. MacPherson, Chern classes for singular algebraic varieties, Ann. of Math. (2) 100 (1974), 423-432. Zbl0311.14001
[Man] Yu. I. Manin, Lectures on the K-functor in algebraic geometry, Russian Math. Surveys 24 (1969), 1-89. Zbl0204.21302
[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
[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
[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
[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

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