Titlebook: Birational Geometry, Kähler–Einstein Metrics and Degenerations; Moscow, Shanghai and Ivan Cheltsov,Xiuxiong Chen,Jihun Park Conference proc

果核

https://doi.org/10.1007/978-3-8348-9692-6It was proved by  Chen and Chen that a terminal Fano 3-fold . satisfies .. We show that a non-rational .-factorial terminal Fano 3-fold . with . and . is a weighted hypersurface of degree 66 in ..

铺子

hemophilia

Classification of Exceptional Complements: Elliptic Curve Case,We classify the log del Pezzo surface (., .) of rank 1 with no 1-,2-,3-,4-, or 6-complements with the additional condition that . has one irreducible component . which is an elliptic curve and . has the coefficient . in . with . for ., 2, 3, 4, and 6.

Nerve-Block

航海太平洋

DEI

Motilin

K-Polystability of Two Smooth Fano Threefolds,We give new proofs of the K-polystability of two smooth Fano threefolds. One of them is a smooth divisor in . of degree (1, 1, 1), which is unique up to isomorphism. Another one is the blow up of the complete intersection . in the conic cut out by ., where . is a primitive cube root of unity.

皱痕

,Existence of Canonical Models for Kawamata Log Terminal Pairs,We prove that a Kawamata log terminal pair has the canonical model.

桶去微染

,Birationally Rigid Complete Intersections of Codimension Three,We prove that the complement to the set of birationally superrigid Fano complete intersections of index 1 and codimension 3 in . is at least . for

Conflagration

,Characterizing Terminal Fano Threefolds with the Smallest Anti-canonical Volume,It was proved by  Chen and Chen that a terminal Fano 3-fold . satisfies .. We show that a non-rational .-factorial terminal Fano 3-fold . with . and . is a weighted hypersurface of degree 66 in ..