The All-Sky Automated Survey for Supernovae (ASAS-SN) provides long baseline (${sim}4$ yrs) light curves for sources brighter than V$lesssim17$ mag across the whole sky. The Transiting Exoplanet Survey Satellite (TESS) has started to produce high-quality light curves with a baseline of at least 27 days, eventually for most of the sky. The combination of ASAS-SN and TESS light curves probes both long and short term variability in great detail, especially towards the TESS continuous viewing zones (CVZ) at the ecliptic poles. We have produced ${sim}1.3$ million V-band light curves covering a total of ${sim}1000 , rm deg^2$ towards the southern TESS CVZ and have systematically searched these sources for variability. We have identified ${sim} 11,700$ variables, including ${sim} 7,000$ new discoveries. The light curves and characteristics of the variables are all available through the ASAS-SN variable stars database (https://asas-sn.osu.edu/variables). We also introduce an online resource to obtain pre-computed ASAS-SN V-band light curves (https://asas-sn.osu.edu/photometry) starting with the light curves of the ${sim}1.3$ million sources studied in this work. This effort will be extended to provide ASAS-SN light curves for ${sim}50;$million sources over the entire sky.
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