Cover Image

The lower bound for the volume of a three-dimensional convex polytope

In this paper, we provide a lower bound for the volume of a three-dimensional smooth integral convex polytope having interior lattice points. Our formula has a quite simple form compared with preliminary results. Therefore, we can easily utilize it for other beneficial purposes. Firstly, as an immed...

Full description

Saved in:

Bibliographic Details
Date:	2016
Main Author:	Kawaguchi, Ryo
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2016
Subjects:	Lattice polytopes polarized varieties toric varieties sectional genus 52B20 14C20 14J30 14M25
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/15
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics

Similar Items

Infinite transitivity on the Calogero-Moser space \(\mathcal{C}_2\)
by: Kesten, J., et al.
Published: (2021)

The containment poset of type \(A\) Hessenberg varieties
by: Drellich, E.
Published: (2020)

Cohen-Macaulay modules over the plane curve singularity of type \(T_{44}\), II
by: Drozd, Yuriy A., et al.
Published: (2019)

\(p\)-Conjecture for tame automorphisms of \(\mathbb{C}^3\)
by: Holik, Daria, et al.
Published: (2025)

On mappings of terms determined by hypersubstitutions
by: Koppitz, Jorg, et al.
Published: (2018)

Cancellable elements of the lattice of semigroup varieties
by: Gusev, Sergey Valentinovich, et al.
Published: (2018)

On certain families of sparse numerical semigroups with Frobenius number even
by: Tizziotti, Guilherme, et al.
Published: (2019)

A sequence of factorizable subgroups
by: Dabbaghian, Vahid
Published: (2018)

Methodology of operative estimation of damage a material of the turbine rotor at cyclic loading and creep
by: Шульженко, М. Г., et al.
Published: (2016)

Definition of the thermal and thermostressed states of turbine rotor in resource counter
by: Шульженко, М. Г., et al.
Published: (2016)

Methodology of operative estimation of damage a material of the turbine rotor at cyclic loading and creep
by: Шульженко, М. Г., et al.
Published: (2016)

Definition of the thermal and thermostressed states of turbine rotor in resource counter
by: Шульженко, М. Г., et al.
Published: (2016)

Packing convex homothetic polytopes into a cuboid
by: Stoyan, Yu. G., et al.
Published: (2018)

Packing convex homothetic polytopes into a cuboid
by: Stoyan, Yu. G., et al.
Published: (2018)

On the Tate pairing associated to an isogeny between abelian varieties over pseudofinite field
by: Nesteruk, Volodymyr
Published: (2018)

Some classes of directoid groups
by: Gardner, B. J., et al.
Published: (2018)

Torsion-free groups with every proper homomorphic image an \(\bf N_1\)-group
by: Ercan, Selami
Published: (2018)

Characterizing semigroups with commutative superextensions
by: Banakh, Taras, et al.
Published: (2018)

One branch curve singularities with at most 2-parameter families of ideals
by: Drozd, Yuriy A., et al.
Published: (2018)

Optimal packing of convex polytopes using quasi-phi-functions
by: Pankratov, A. V., et al.
Published: (2015)

Optimal packing of convex polytopes using quasi-phi-functions
by: Pankratov, A. V., et al.
Published: (2015)

On seismic studies in the Western region of Ukraine – in detail and convincingly
by: Stupka, O.S.
Published: (2014)

A note on multidegrees of automorphisms of the form \((\exp D)_{\star}\)
by: Karaś, M., et al.
Published: (2023)

On the group of unitriangular automorphisms of the polynomial ring in two variables over a finite field
by: Leshchenko, Yuriy Yu., et al.
Published: (2018)

Calculation of the power and angular components of the geomagnetic field induction vector in the territory of Ukraine
by: Orlyuk, M.I., et al.
Published: (2025)

Some properties of nilpotent groups
by: Gaglione, Anthony M., et al.
Published: (2018)

Skew PBW extensions over symmetric rings
by: Reyes, A., et al.
Published: (2021)

Cohomologies of finite abelian groups
by: Drozd, Yuriy A., et al.
Published: (2017)

ТИПИ ЛІТОГЕНЕЗУ І ДЕЯКІ ГЕОХІМІЧНІ ПОКАЗНИКИ СЕРЕДОВИЩА ТОРФОНАКОПИЧЕННЯ НА МЕЖІ ПАЛЕОГЕНУ – НЕОГЕНУ В МЕЖАХ ДНІПРОВСЬКО-ДОНЕЦЬКОЇ ЗАПАДИНИ
by: Aleksandrova, A.V.
Published: (2018)

A note about splittings of groups and commensurability under a cohomological point of view
by: Andrade, Maria Gorete Carreira, et al.
Published: (2018)

Approximating length-based invariants in atomic Puiseux monoids
by: Polo, H.
Published: (2022)

Anti-tori in quaternionic lattices over \(\mathbb{F}_q(t)\)
by: Bondarenko, Ievgen, et al.
Published: (2024)

The system of diagnostic of a thermostressed state and operation of a resource for a rotor of a high pressure of turbine T-250/300-240 on stationary and variable operat-ing modes
by: Шульженко, Николай Григорьевич, et al.
Published: (2015)

The system of diagnostic of a thermostressed state and operation of a resource for a rotor of a high pressure of turbine T-250/300-240 on stationary and variable operat-ing modes
by: Шульженко, Николай Григорьевич, et al.
Published: (2015)

General formal local cohomology modules
by: Rezaei, Sh.
Published: (2021)

RESEARCH ON ADDED INDUCTANCE AND RESISTANCE DURING SPIRAL FERROMAGNETIC WIRE SCANNING WITH MAGNETIC FIELD OF A PARAMETRIC EDDY-CURRENT SENSOR
by: Kostiukov, I. A.
Published: (2014)

Nakajima quiver varieties, affine crystals and combinatorics of Auslander-Reiten quivers
by: Kus, D., et al.
Published: (2023)

On locally nilpotent derivations of Fermat rings
by: Brumatti, Paulo Roberto, et al.
Published: (2018)

RAPID NONDESTRUCTIVE MECHANICAL STRESS CONTROL
by: Bezotosniy, V. F., et al.
Published: (2013)

Attached primes and annihilators of top local cohomology modules defined by a pair of ideals
by: Karimi, S., et al.
Published: (2020)