The Chow ring of the stack of cyclic covers of the projective line

Damiano Fulghesu[1]; Filippo Viviani[2]

  • [1] Université de Strasbourg et CNRS 7 IRMA, UMR 7501 7, rue René Descartes 67084 Strasbourg Cedex (France)
  • [2] Università degli Studi di Roma Tre Dipartimento di Matematica Largo San Leonardo Murialdo 1 00146 Roma (Italy)

Annales de l’institut Fourier (2011)

  • Volume: 61, Issue: 6, page 2249-2275
  • ISSN: 0373-0956

Abstract

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In this paper we compute the integral Chow ring of the stack of smooth uniform cyclic covers of the projective line and we give explicit generators.

How to cite

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Fulghesu, Damiano, and Viviani, Filippo. "The Chow ring of the stack of cyclic covers of the projective line." Annales de l’institut Fourier 61.6 (2011): 2249-2275. <http://eudml.org/doc/219733>.

@article{Fulghesu2011,
abstract = {In this paper we compute the integral Chow ring of the stack of smooth uniform cyclic covers of the projective line and we give explicit generators.},
affiliation = {Université de Strasbourg et CNRS 7 IRMA, UMR 7501 7, rue René Descartes 67084 Strasbourg Cedex (France); Università degli Studi di Roma Tre Dipartimento di Matematica Largo San Leonardo Murialdo 1 00146 Roma (Italy)},
author = {Fulghesu, Damiano, Viviani, Filippo},
journal = {Annales de l’institut Fourier},
keywords = {Intersection theory; cyclic covers; algebraic stacks; moduli stacks of curves; equivariant intersection theory; algebraic backstabbing},
language = {eng},
number = {6},
pages = {2249-2275},
publisher = {Association des Annales de l’institut Fourier},
title = {The Chow ring of the stack of cyclic covers of the projective line},
url = {http://eudml.org/doc/219733},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Fulghesu, Damiano
AU - Viviani, Filippo
TI - The Chow ring of the stack of cyclic covers of the projective line
JO - Annales de l’institut Fourier
PY - 2011
PB - Association des Annales de l’institut Fourier
VL - 61
IS - 6
SP - 2249
EP - 2275
AB - In this paper we compute the integral Chow ring of the stack of smooth uniform cyclic covers of the projective line and we give explicit generators.
LA - eng
KW - Intersection theory; cyclic covers; algebraic stacks; moduli stacks of curves; equivariant intersection theory; algebraic backstabbing
UR - http://eudml.org/doc/219733
ER -

References

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  12. Rahul Pandharipande, Equivariant Chow rings of O ( k ) , SO ( 2 k + 1 ) , and SO ( 4 ) , J. Reine Angew. Math. 496 (1998), 131-148 Zbl0905.14026MR1605814
  13. Burt Totaro, The Chow ring of a classifying space, Algebraic -theory (Seattle, WA, 1997) 67 (1999), 249-281, Amer. Math. Soc., Providence, RI Zbl0967.14005MR1743244
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