Publications (36)
Gorenstein toric Fano varieties
Benjamin Nill
On the maximum dual volume of a canonical Fano polytope
Gabriele Balletti, Alexander M. Kasprzyk, Benjamin Nill
Lattice simplices with a fixed positive number of interior lattice points: A nearly optimal volume bound
Gennadiy Averkov, Jan Krümpelmann, Benjamin Nill
Multiples of lattice polytopes without interior lattice points
Victor Batyrev, Benjamin Nill
Lattice polytopes having h^*-polynomials with given degree and linear coefficient
Benjamin Nill
Combinatorial aspects of mirror symmetry
Victor Batyrev, Benjamin Nill
Smooth polytopes with negative Ehrhart coefficients
Federico Castillo, Fu Liu, Benjamin Nill +1
Polytopes associated to Dihedral Groups
Barbara Baumeister, Christian Haase, Benjamin Nill +1
Classification of toric Fano 5-folds
Maximilian Kreuzer, Benjamin Nill
Lattice width directions and Minkowski's 3^d-theorem
Jan Draisma, Tyrrell B. McAllister, Benjamin Nill
Examples of non-symmetric Kähler-Einstein toric Fano manifolds
Benjamin Nill, Andreas Paffenholz
A Simple Combinatorial Criterion for Projective Toric Manifolds with Dual Defect
Alicia Dickenstein, Benjamin Nill
Q-factorial Gorenstein toric Fano varieties with large Picard number
Benjamin Nill, Mikkel Ãbro
Few smooth d-polytopes with n lattice points
Tristram Bogart, Christian Haase, Milena Hering +6
On permutation polytopes
Barbara Baumeister, Christian Haase, Benjamin Nill +1
Cayley decompositions of lattice polytopes and upper bounds for h^*-polynomials
Christian Haase, Benjamin Nill, Sam Payne
The mixed degree of families of lattice polytopes
Benjamin Nill
Gorenstein polytopes with trinomial $h^*$-polynomials
Akihiro Higashitani, Benjamin Nill, Akiyoshi Tsuchiya
Projecting lattice polytopes without interior lattice points
Benjamin Nill, Günter M. Ziegler
On the combinatorial classification of toric log del Pezzo surfaces
Alexander M. Kasprzyk, Maximilian Kreuzer, Benjamin Nill
Volume and lattice points of reflexive simplices
Benjamin Nill
Permutation Polytopes of Cyclic Groups
Barbara Baumeister, Christian Haase, Benjamin Nill +1
Largest integral simplices with one interior integral point: Solution of Hensley's conjecture and related results
Gennadiy Averkov, Jan Krümpelmann, Benjamin Nill
Gorenstein polytopes and their stringy E-functions
Benjamin Nill, Jan Schepers
Complete toric varieties with reductive automorphism group
Benjamin Nill
The degree of point configurations: Ehrhart theory, Tverberg points and almost neighborly polytopes
Benjamin Nill, Arnau Padrol
A boundedness result for toric log Del Pezzo surfaces
Dimitrios I. Dais, Benjamin Nill
On the equality case in Ehrhart's volume conjecture
Benjamin Nill, Andreas Paffenholz
Polyhedral adjunction theory
Sandra Di Rocco, Christian Haase, Benjamin Nill +1
A bound for the splitting of smooth Fano polytopes with many vertices
Benjamin Assarf, Benjamin Nill
Classification of pseudo-symmetric simplicial reflexive polytopes
Benjamin Nill
Discrete Mixed Volume and Hodge-Deligne Numbers
Sandra Di Rocco, Christian Haase, Benjamin Nill
A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes
Alicia Dickenstein, Benjamin Nill, Michèle Vergne
Lattices generated by skeletons of reflexive polytopes
Christian Haase, Benjamin Nill
Spanning Lattice Polytopes and the Uniform Position Principle
Johannes Hofscheier, Lukas Katthän, Benjamin Nill
On smooth Gorenstein polytopes
Benjamin Lorenz, Benjamin Nill