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Weak Solutions of the Chern-Ricci flow on compact complex surfaces

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 نشر من قبل Xiaolan Nie
 تاريخ النشر 2017
  مجال البحث
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 تأليف Xiaolan Nie




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In this note, we prove the existence of weak solutions of the Chern-Ricci flow through blow downs of exceptional curves, as well as backwards smooth convergence away from the exceptional curves on compact complex surfaces. The smoothing property for the Chern-Ricci flow is also obtained on compact Hermitian manifolds of dimension n under a mild assumption.



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