Maximal time existence of unnormalized conical Kähler–Ricci flow
We generalize the maximal time existence of Kähler–Ricci flow in [ and , On the Kähler–Ricci flow on projective manifolds of general type, Chin. Ann. Math. Ser. B (2006), no. 2, 179–192] and [ and , The Kähler–Ricci flow through singularities, Invent. Math. (2017), no. 2, 519–595] to the conical cas...
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| Published in | Journal für die reine und angewandte Mathematik Vol. 2020; no. 760; pp. 169 - 193 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
De Gruyter
01.03.2020
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| Online Access | Get full text |
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| Summary: | We generalize the maximal time existence of Kähler–Ricci flow in [
and
, On the Kähler–Ricci flow on projective manifolds of general type, Chin. Ann. Math. Ser. B
(2006), no. 2, 179–192] and [
and
, The Kähler–Ricci flow through singularities, Invent. Math.
(2017), no. 2, 519–595] to the conical case.
Furthermore, if the log canonical bundle
is big or big and nef, we can examine the limit behaviors
of such conical Kähler–Ricci flow. Moreover, these results still hold when
is a simple normal crossing divisor. |
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| ISSN: | 0075-4102 1435-5345 |
| DOI: | 10.1515/crelle-2018-0007 |