Geodesic
On Intrinsic Quadrics
Canadian journal of mathematics, Tome 72 (2020) no. 1, pp. 145-181

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DOI

An intrinsic quadric is a normal projective variety with a Cox ring defined by a single quadratic relation. We provide explicit descriptions of these varieties in the smooth case for small Picard numbers. As applications, we figure out in this setting the Fano examples and (affirmatively) test Fujita’s freeness conjecture.
DOI : 10.4153/CJM-2018-037-5
Mots-clés : Fano variety, Cox ring, Mori dream space, intrinsic quadric 
Fahrner, Anne; Hausen, Jürgen. On Intrinsic Quadrics. Canadian journal of mathematics, Tome 72 (2020) no. 1, pp. 145-181. doi: 10.4153/CJM-2018-037-5
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     year = {2020},
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     doi = {10.4153/CJM-2018-037-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2018-037-5/}
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