42 citations · 328 across the 67 of their papers we have counts for
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math.AG2003★ 4 cited
On the ideals of secant varieties of Segre varieties
J. M. Landsberg, Laurent Manivel
We establish basic techniques for studying the ideals of secant varieties of Segre varieties. We solve a conjecture of Garcia, Stillman and Sturmfels on the generators of the ideal…
math.AG2003
The Chow ring of the Cayley plane
Atanas Iliev, Laurent Manivel
We give a full description of the Chow ring of the complex Cayley plane, the simplest of the exceptional flag varieties. We describe explicitely the most interesting of its Schuber…
math.AG2003
Severi varieties and their varieties of reductions
Atanas Iliev, Laurent Manivel
We study the varieties of reductions associated to the four Severi varieties, the first example of which is the Fano threefold of index 2 and degree 5 studied by Mukai and others.…