Calabi-Yau threefolds in P^n and Gorenstein rings.

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• Hal Schenck, Auburn University
• Wednesday 17 May 2023, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Mark Gross.

A projectively normal Calabi-Yau threefold X in P^n has an ideal I_X which is arithmetically Gorenstein, of Castelnuovo-Mumford regularity four. Such CY threefolds have been extensively studied when I_X is a complete intersection, as well as in the case where X is codimension three; in both these cases the algebra is well understood. We study the situation in codimension four or more, by lifting Artinian Gorenstein ideals obtained from Macaulay’s inverse systems. This leads to the construction of CY threefolds with Hodge numbers not previously known to appear. (joint work with M. Stillman and B. Yuan).

This talk is part of the Algebraic Geometry Seminar series.

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