Greatest lower bounds on the Ricci curvature of Fano manifolds

Wiley - Tập 147 Số 1 - Trang 319-331 - 2011
Gábor Székelyhidi1
1Department of Mathematics, Columbia University, 2990 Broadway, New York, NY 10027, USA

Tóm tắt

Abstract

On a Fano manifoldMwe study the supremum of the possibletsuch that there is a Kähler metricω∈c1(M) with Ricci curvature bounded below byt. This is shown to be the same as the maximum existence time of Aubin’s continuity path for finding Kähler–Einstein metrics. We show that onP2blown up in one point this supremum is 6/7, and we give upper bounds for other manifolds.

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Wiley

Tập 147 Số 1

319-331

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