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research-article

Sums of Betti Numbers in Arbitrary Characteristic

Published: 01 January 2001 Publication History

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References

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A. Adolphson, S. Sperber, On the degree of the L-function associated with an exponential sum, Compositio Math., 68 (1988) 125-159.
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P. Berthelot, Altérations de variétés algébriques (d'après A. J. de Jong), Exposé 815, Séminaire Bourbaki 1995/96, Astérisque, 241 (1997) 273-311.
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E. Bombieri, On exponential sums in finite fields, II, Invent. Math., 47 (1978) 29-39.
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A.J. de Jong, Smoothness, semi-stability, and alterations, Inst. Montes Études Sci. Publ. Math., 83 (1996) 51-93.
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P. Deligne, Theoremes de Finitude en Cohomologique ¿¿adique, Springer-Verlag, New York, 1977.
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P. Deligne, La conjecture de Weil, II, Inst. Montes Études Sci. Publ. Math., 52 (1981) 313-428.
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B. Dwork, On the rationality of the zeta function of an algebraic variety, Amer. J. Math., 82 (1960) 631-648.
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N. Katz, Affine cohomological transforms, perversity, and monodromy, J. Amer. Math. Soc., 6 (1993) 149-222.
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N. Katz, Estimates for “singular” exponential sums, Internat. Math. Res. Notices, 16 (1999) 875-899.
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G. Laumon, Comparaison de caractéristiques d'Euler¿Poincaré en cohomologie Ql-adique, C.R. Acad. Sci. Paris Sér. I. Math., 292 (1981) 209-212.
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J. Milnor, On the Betti numbers of real varieties, Proc. Amer. Math. Soc., 15 (1964) 275-280.
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O.A. Oleinik, Estimates of the Betti numbers of real algebraic hypersurfaces (Russian), Mat. Sb. N.S., 28 (1951) 635-640.
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R. Thom, Sur l'homologie des variétés algébriques réelles, Princeton Univ. Press, Princeton, 1965.

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Published In

cover image Finite Fields and Their Applications
Finite Fields and Their Applications  Volume 7, Issue 1
January, 2001
252 pages

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Elsevier Science Publishers B. V.

Netherlands

Publication History

Published: 01 January 2001

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