Geodesic
Extensions of toric varieties
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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In this paper, we introduce the notion of "extension" of a toric variety and study its fundamental properties. This gives rise to infinitely many toric varieties with a special property, such as being set theoretic complete intersection or arithmetically Cohen-Macaulay (Gorenstein) and having a Cohen-Macaulay tangent cone or a local ring with non-decreasing Hilbert function, from just one single example with the same property, verifying Rossi's conjecture for larger classes and extending some results appeared in literature.
DOI : 10.37236/580
Classification : 14M25, 13D40, 14M10, 13D02
Mots-clés : toric varieties, affine extensions, Gorenstein local rings 
@article{10_37236_580,
     author = {Mesut \c{S}ahin},
     title = {Extensions of toric varieties},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {1},
     doi = {10.37236/580},
     zbl = {1218.14046},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/580/}
}
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Mesut Şahin. Extensions of toric varieties. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/580

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