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We analyze the clustering of galaxies in the first public data release of theHSC Subaru Strategic Program. Despite the relatively small footprints of theobserved fields, the data are an excellent proxy for the deep photometricdatasets that will be acquired by LSST, and are therefore an ideal test bed forthe analysis methods being implemented by the LSST DESC. We select a magnitudelimited sample with $i<24.5$ and analyze it in four redshift bins covering$0.15\lesssim z \lesssim1.5$. We carry out a Fourier-space analysis of thetwo-point clustering of this sample, including all auto- andcross-correlations. We demonstrate the use of map-level deprojection methods toaccount for fluctuations in the galaxy number density caused by observationalsystematics. Through an HOD analysis, we place constraints on thecharacteristic halo masses of this sample, finding a good fit up to scales$k_{\rm max}=1\,{\rm Mpc}^{-1}$, including both auto- and cross-correlations.Our results show monotonically decreasing average halo masses, which can beinterpreted in terms of the drop-out of red galaxies at high redshifts for aflux-limited sample. In terms of photometric redshift systematics, we show thatadditional care is needed in order to marginalize over uncertainties in theredshift distribution in galaxy clustering, and that these uncertainties can beconstrained by including cross-correlations. We are able to make a$\sim3\sigma$ detection of lensing magnification in the HSC data. Our resultsare stable to variations in $\sigma_8$ and $\Omega_c$ and we find constraintsthat agree well with measurements from Planck and low-redshift probes. Finally,we use our pipeline to study the clustering of galaxies as a function oflimiting flux, and provide a simple fitting function for the linear galaxy biasfor magnitude limited samples as a function of limiting magnitude and redshift.[abridged]

Tomographic galaxy clustering with the Subaru Hyper Suprime-Cam first year public data release