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We present the first cross-identifications of sources in the near-infraredDENIS survey and in the micro-lensing EROS survey in a field of about 0.5square degrees around the optical center (OC) of the Large Magellanic Cloud. Weanalyze the photometric history of these stars in the EROS data base and obtainlight-curves for about 800 variables. Most of the stars are long periodvariables (Miras and Semi-Regulars), a few Cepheids are also present. We alsopresent new spectroscopic data on 126 asymptotic giant branch stars in the OCfield, 30 previously known and 96 newly discovered by the DENIS survey. Thevisible spectra are used to assign a carbon- (C-) or oxygen-rich (O-rich)nature to the observed stars on the basis of the presence of molecular bands ofTiO, VO, CN, C2. For the remaining of the stars we used the (J-Ks) color todetermine whether they are O-rich or C-rich. Plotting Log(period) versus Ks wefind three very distinct period-luminosity relations, mainly populated bySemi-Regular of type a (SRa), b (SRb) and Mira variables. Carbon-rich starsoccupy mostly the upper part of these relations. We find that 65% of theasymptotic giant branch population are long period variables (LPVs).Comment: 9 pages, 7 figures, 4 tables (2 via CDS), accepted by A&A journa

Variability and spectral classification of LMC giants: Results from DENIS and EROS