7 citations · 18 across the 8 of their papers we have counts for
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Normality and smoothness of simple linear group compactifications
Jacopo Gandini, Alessandro Ruzzi
If G is a complex semisimple algebraic group, we characterize the normality and the smoothness of its simple linear compactifications, namely those equivariant GxG-compactification…
Fano symmetric varieties with low rank
Alessandro Ruzzi
The symmetric projective varieties of rank one are all smooth and Fano by a classic result of Akhiezer. We classify the locally factorial (respectively smooth) projective symmetric…
Normality and non-normality of group compactifications in simple projective spaces
Paolo Bravi, Jacopo Gandini, Andrea Maffei +1
If is a complex simply connected semisimple algebraic group and if is a dominant weight, we consider the compactification in the projectivisation of $\End(V(λ))$ obta…
Effective and Big Divisors on a Projective Symmetric Variety
Alessandro Ruzzi
We describe the effective and the big cones of a projective symmetric variety. Moreover, we give a necessary and sufficient combinatorial criterion for the bigness of a nef divisor…
Geometrical description of smooth projective symmetric varieties with Picard number one
Alessandro Ruzzi
In a previous paper we have classified the smooth projective symmetric G-varieties with Picard number one (and G semisimple). In this work we give a geometrical description of such…
Smooth Projective Symmetric Varieties with Picard Number equal to one
Alessandro Ruzzi
We classify the smooth projective symmetric G-varieties with Picard number one (and G semisimple). Moreover we prove a criterion for the smoothness of the simple (normal) symmetric…