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• W2906708276 abstract "We study the geography of crepant resolutions of E$_7$-models. An E$_7$-model is a Weierstrass model corresponding to the output of Step 9 of Tate's algorithm characterizing the Kodaira fiber of type III$^*$ over the generic point of a smooth prime divisor. The dual graph of the Kodaira fiber of type III$^*$ is the affine Dynkin diagram of type E$_7$. A Weierstrass model of type E$_7$ is conjectured to have eight distinct crepant resolutions whose flop diagram is a Dynkin diagram of type E$_8$. We construct explicitly four of these eight crepant resolutions forming a sub-diagram of type D$_4$. We explain how the flops between these four crepant resolutions can be understood using the flops between the crepant resolutions of two well-chosen suspended pinch points." @default.
• W2906708276 created "2019-01-11" @default.
• W2906708276 creator A5011291897 @default.
• W2906708276 creator A5019879633 @default.
• W2906708276 date "2018-12-31" @default.
• W2906708276 modified "2023-09-23" @default.
• W2906708276 title "D$_4$-flops of the E$_7$-model" @default.
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• W2906708276 hasPublicationYear "2018" @default.
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