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CATEGORIES:Algebraic Geometry Seminar
SUMMARY:Calabi-Yau threefolds in P^n and Gorenstein rings.
- Hal Schenck\, Auburn University
DTSTART;TZID=Europe/London:20230517T141500
DTEND;TZID=Europe/London:20230517T151500
UID:TALK197959AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/197959
DESCRIPTION:A projectively normal Calabi-Yau threefold X in P^
n has an ideal I_X\nwhich is arithmetically Gorens
tein\, of Castelnuovo-Mumford regularity four.\nSu
ch CY threefolds have been extensively studied whe
n I_X is a complete\nintersection\, as well as in
the case where X is codimension three\; in both\nt
hese cases the algebra is well understood. We stud
y the situation in\ncodimension four or more\, by
lifting Artinian Gorenstein ideals obtained from\n
Macaulay’s inverse systems. This leads to the cons
truction of CY threefolds\nwith Hodge numbers not
previously known to appear. (joint work with M. St
illman\nand B. Yuan).\n
LOCATION:CMS MR13
CONTACT:Mark Gross
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