19 citations · 56 across the 14 of their papers we have counts for
10 papers · 1 filter
Smooth Fano four folds in Gorenstein formats
Muhammad Imran Qureshi
We construct some new deformation families of four-dimensional Fano manifolds of index in some known classes of Gorenstein formats. These families have explicit descriptions in…
Smooth Fano intrinsic Grassmannians of type with Picard number two
Muhammad Imran Qureshi, Milena Wrobel
We introduce the notion of intrinsic Grassmannians which generalizes the well known weighted Grassmannians. An intrinsic Grassmannian is a normal projective variety whose Cox ring…
Polarized rigid del Pezzo surfaces in low codimension
Muhammad Imran Qureshi
We provide explicit graded constructions of orbifold del Pezzo surfaces with rigid orbifold points of type $\left\{k_i\times\frac{1}{r_i}(1,a_i): 3\le r_i \le 10,k_i \in \ZZ_{\ge 0…
Biregular models of log Del Pezzo surfaces with rigid singularities
Muhammad Imran Qureshi
We construct biregular models of families of log Del Pezzo surfaces with rigid cyclic quotient singularities such that a general member in each family is wellformed and quasismooth…
Fano 3-folds in format, Tom and Jerry
Gavin Brown, Alexander Kasprzyk, Muhammad Imran Qureshi
We study Q-factorial terminal Fano 3-folds whose equations are modelled on those of the Segre embedding of P^2 x P^2. These lie in codimension 4 in their total anticanonical embedd…
Polarized 3-folds in a codimension 10 weighted homogeneous variety
Muhammad Imran Qureshi
We give the construction of a codimension 10 weighted homogeneous variety corresponding to the exceptional Lie group by explicit computation of its graded ring s…