Titlebook: Interactions with Lattice Polytopes; Magdeburg, Germany, Alexander M. Kasprzyk,Benjamin Nill Conference proceedings 2022 Springer Nature S

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,Difference Between Families of Weakly and Strongly Maximal Integral Lattice-Free Polytopes, lattice-free polytopes: the family . of integral lattice-free polytopes in . that are not properly contained in another integral lattice-free polytope and its subfamily . consisting of integral lattice-free polytopes in . which are not properly contained in another lattice-free set. It is known tha

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On the Fine Interior of Three-Dimensional Canonical Fano Polytopes, of non-degenerate hypersurfaces defined by Laurent polynomials with Newton polytope .. This paper presents some computational results on the Fine interior of all . three-dimensional canonical Fano polytopes.

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玉米棒子

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Classification of Minimal Polygons with Specified Singularity Content,tains only finitely many minimal polygons. We describe an efficient algorithm to classify these minimal polygons. To illustrate this algorithm we compute all mutation-equivalence classes of Fano polygons with basket of singularities given by (i) . and (ii) ..

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On the Topology of Fano Smoothings,tting it is expected that there is a family of algebraic varieties over the unit disc with general fiber . and special fiber the toric variety defined by the spanning fan of .. Building on recent work and conjectures by Corti–Hacking–Petracci, who construct such families of varieties, we determine t

疲劳

Computing Seshadri Constants on Smooth Toric Surfaces,n the degree of jet separation is small or the core of the associated polygon is a line segment. Our main result is that under these hypothesis the Seshadri constant at the general point can often be determined in terms of easily computable invariants of the surfaces at hand. When the core of the as

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The Characterisation Problem of Ehrhart Polynomials of Lattice Polytopes,attice polytopes is now well-studied. In this survey paper, after recalling the fundamental properties of the Ehrhart polynomials of lattice polytopes, we survey the results on this problem including recent developments. We discuss the characterisation of Ehrhart polynomials in several particular ca

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,The Ring of Conditions for Horospherical Homogeneous Spaces, 2018. The aim of this lecture series is to introduce the ring of conditions of a spherical homogeneous space with a special emphasis on the horospherical case, i.e., homogeneous spaces with respect to a connected complex reductive group which are torus bundles over a flag variety. In these notes, w

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