Sextic double solids
Alexandra Kuznetsova (Higher School of Economics)
Abstract: Abstract: One of the first examples of unirational non-rational threefold was provided by Artin and Mumford and it was a double cover of P^3 branched in a nodal quartic surface, so called quartic double solid. Then Endrass studied this class of varieties and showed that the example by Artin and Mumford gives a unique family of non-rational nodal quartic double solids. I am going to tell about the next interesting class of threefolds --- nodal sextic double solids. I will describe 4 families of them such that any non-rational variety of this type lies in one of those families and explain the proof.
algebraic geometry
Audience: researchers in the topic
ZAG (Zoom Algebraic Geometry) seminar
Series comments: Description: ZAG seminar
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| Organizers: | Jesus Martinez Garcia*, Ivan Cheltsov*, Jungkai Chen, Jérémy Blanc, Ernesto Lupercio, Yuji Odaka, Zsolt Patakfalvi, Julius Ross, Cristiano Spotti, Chenyang Xu |
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