If the supermassive black hole Sgr A * at the center of the Milky Way grew adiabatically from an initial seed embedded in an NFW dark matter (DM) halo, then the DM profile near the hole has steepened into a spike. We calculate the dramatic enhancement to the gamma ray flux from the Galactic center (GC) from such a spike if the 1-3 GeV excess observed in Fermi data is due to DM annihilations. We find that for the parameter values favored in recent fits, the point source-like flux from the spike is 35 times greater than the flux from the inner 1• of the halo, far exceeding all Fermi point source detections near the GC. We consider the dependence of the spike signal on astrophysical and particle parameters and conclude that if the GC excess is due to DM, then a canonical adiabatic spike is disfavored by the data. We discuss alternative Galactic histories that predict different spike signals, including: (i) the nonadiabatic growth of the black hole, possibly associated with halo and/or black hole mergers, (ii) gravitational interaction of DM with baryons in the dense core, such as heating by stars, or (iii) DM self-interactions. We emphasize that the spike signal is sensitive to a different combination of particle parameters than the halo signal, and that the inclusion of a spike component to any DM signal in future analyses would provide novel information about both the history of the GC and the particle physics of DM annihilations.The indirect detection of high-energy particles originating in dark matter (DM) annihilations or decays is a cornerstone in the search for DM (see, e.g., [1] for a recent review). Annihilations in the Galactic halo may lead to a signal from the Galactic center (GC) at rates that are observable by the current generation of high-energy experiments. The excess of ∼ 1 − 3 GeV gamma rays from the inner few degrees of the GC observed in Fermi telescope data may be such a signal [2][3][4][5][6][7][8][9][10][11]. A recent analysis [11] of the Fermi data with improved angular resolution [12] has sharpened the case for a DM interpretation of the excess, demonstrating a clear preference for a component of emission from a spherically symmetric, extended source with an energy spectrum apparently independent of position.A supermassive black hole (SMBH) exists at the site of Sgr A * [13,14]. Such an object should steepen the DM density profile in its sphere of influence. If the SMBH grows adiabatically from a smaller seed, the resulting density spike yields a strong enhancement of any DM annihilation signal [15][16][17]. Here we construct a canonical GC model containing an adiabatic density spike. We adopt the best-fit halo and particle parameters found in [11] to calculate the expected gamma-ray flux and spectrum from both the spike and ambient Navarro-FrenkWhite (NFW [18]) halo regions. We find that the expected flux from the spike in our canonical model considerably exceeds the flux from any of the pointlike sources near the GC cataloged by Fermi. To reconcile the discrepancy we discuss plausible al...