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math.AG2022
Discrete geometry of Cox rings of blow-ups of
Mara Belotti, Marta Panizzut
We prove quadratic generation for the ideal of the Cox ring of the blow-up of at points, solving a conjecture of Lesieutre and Park. To do this we compute Khovan…
math.AG2022
The enumerative geometry of cubic hypersurfaces: point and line conditions
Mara Belotti, Alessandro Danelon, Claudia Fevola +1
In order to count the number of smooth cubic hypersurfaces tangent to a prescribed number of lines and passing through a given number of points, we construct a compactification of…
math.AG2019★ 5 cited
Real Lines on Random Cubic Surfaces
Rida Ait El Manssour, Mara Belotti, Chiara Meroni
We give an explicit formula for the expectation of the number of real lines on a random invariant cubic surface, i.e. a surface defined by a random gaussia…