文摘
Let X be a compact Kähler manifold. We prove that the Kähler–Ricci flow starting from arbitrary closed positive <span id="mmlsi1" class="mathmlsrc"><span class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0001870815303157&_mathId=si1.gif&_user=111111111&_pii=S0001870815303157&_rdoc=1&_issn=00018708&md5=eba203010227a841f415ac648c39f960" title="Click to view the MathML source">(1,1)span><span class="mathContainer hidden"><span class="mathCode">span>span>span>-currents is smooth outside some analytic subset. This regularity result is optimal, meaning that the flow has positive Lelong numbers for short time if the initial current has. We also prove that the flow is unique when starting from currents with zero Lelong numbers.