Hanely, Derek; Martin, Jeremy L.; McGinnis, Daniel; Miyata, Dane; Nasr, George D.; Vindas-Meléndez, Andrés R.; Yin, Mei Ehrhart theory of paving and panhandle matroids. (English) Zbl 1526.05028 Adv. Geom. 23, No. 4, 501-526 (2023). MSC: 05B35 05C31 52B40 05B25 PDFBibTeX XMLCite \textit{D. Hanely} et al., Adv. Geom. 23, No. 4, 501--526 (2023; Zbl 1526.05028) Full Text: DOI arXiv
Jung, Mook Kwon; Yoon, Sang Duk; Ahn, Hee-Kap; Tokuyama, Takeshi Universal convex covering problems under translations and discrete rotations. (English) Zbl 1526.52014 Adv. Geom. 23, No. 4, 481-500 (2023). MSC: 52C15 52B55 PDFBibTeX XMLCite \textit{M. K. Jung} et al., Adv. Geom. 23, No. 4, 481--500 (2023; Zbl 1526.52014) Full Text: DOI arXiv
Hébert, Auguste A new axiomatics for masures. II. (English) Zbl 07604591 Adv. Geom. 22, No. 4, 513-522 (2022). MSC: 20E42 PDFBibTeX XMLCite \textit{A. Hébert}, Adv. Geom. 22, No. 4, 513--522 (2022; Zbl 07604591) Full Text: DOI
Brandt, Madeline; Speyer, David E. Computation of Dressians by dimensional reduction. (English) Zbl 1491.14086 Adv. Geom. 22, No. 3, 409-420 (2022). MSC: 14T15 52B40 PDFBibTeX XMLCite \textit{M. Brandt} and \textit{D. E. Speyer}, Adv. Geom. 22, No. 3, 409--420 (2022; Zbl 1491.14086) Full Text: DOI
Kabluchko, Zakhar; Seidel, Hauke Convex cones spanned by regular polytopes. (English) Zbl 1486.52009 Adv. Geom. 22, No. 2, 245-267 (2022). MSC: 52A22 60D05 52A55 52B11 PDFBibTeX XMLCite \textit{Z. Kabluchko} and \textit{H. Seidel}, Adv. Geom. 22, No. 2, 245--267 (2022; Zbl 1486.52009) Full Text: DOI arXiv
Herburt, Irmina; Sakata, Shigehiro An extremum problem for the power moment of a convex polygon contained in a disc. (English) Zbl 1476.52007 Adv. Geom. 21, No. 4, 599-609 (2021). MSC: 52A40 52A10 51M16 51M20 PDFBibTeX XMLCite \textit{I. Herburt} and \textit{S. Sakata}, Adv. Geom. 21, No. 4, 599--609 (2021; Zbl 1476.52007) Full Text: DOI
Angeles Alfonseca, M.; Cordier, Michelle; Florentin, Dan I. Uniqueness results for bodies of constant width in the hyperbolic plane. (English) Zbl 1475.52013 Adv. Geom. 21, No. 3, 391-400 (2021). Reviewer: Pedro Martín Jiménez (Badajoz) MSC: 52A55 53C22 PDFBibTeX XMLCite \textit{M. Angeles Alfonseca} et al., Adv. Geom. 21, No. 3, 391--400 (2021; Zbl 1475.52013) Full Text: DOI arXiv
Schwartz, Richard Evan Inscribed rectangle coincidences. (English) Zbl 1470.52006 Adv. Geom. 21, No. 3, 313-324 (2021). MSC: 52A22 51M16 52A40 PDFBibTeX XMLCite \textit{R. E. Schwartz}, Adv. Geom. 21, No. 3, 313--324 (2021; Zbl 1470.52006) Full Text: DOI
Zając, Sylwester; Zapałowski, Paweł Complex geodesics in convex domains and \(\mathbb{C}\)-convexity of semitube domains. (English) Zbl 1479.32005 Adv. Geom. 21, No. 2, 149-162 (2021). Reviewer: Marek Jarnicki (Kraków) MSC: 32F45 32F17 PDFBibTeX XMLCite \textit{S. Zając} and \textit{P. Zapałowski}, Adv. Geom. 21, No. 2, 149--162 (2021; Zbl 1479.32005) Full Text: DOI arXiv
Balestro, Vitor; Martini, Horst; Teixeira, Ralph Some topics in differential geometry of normed spaces. (English) Zbl 1510.53013 Adv. Geom. 21, No. 1, 109-118 (2021). MSC: 53A35 46B20 53A15 53A10 52A15 52A21 PDFBibTeX XMLCite \textit{V. Balestro} et al., Adv. Geom. 21, No. 1, 109--118 (2021; Zbl 1510.53013) Full Text: DOI arXiv
Bae, Sang Won; Cabello, Sergio; Cheong, Otfried; Choi, Yoonsung; Stehn, Fabian; Yoon, Sang Duk The reverse Kakeya problem. (English) Zbl 1479.52028 Adv. Geom. 21, No. 1, 75-84 (2021). Reviewer: Christian Richter (Jena) MSC: 52C15 52B55 52A10 PDFBibTeX XMLCite \textit{S. W. Bae} et al., Adv. Geom. 21, No. 1, 75--84 (2021; Zbl 1479.52028) Full Text: DOI
Lin, Aaron; Swanepoel, Konrad Ordinary hyperspheres and spherical curves. (English) Zbl 1461.52013 Adv. Geom. 21, No. 1, 15-22 (2021). MSC: 52A55 52B05 PDFBibTeX XMLCite \textit{A. Lin} and \textit{K. Swanepoel}, Adv. Geom. 21, No. 1, 15--22 (2021; Zbl 1461.52013) Full Text: DOI arXiv
Chasapis, Giorgos; Skarmogiannis, Nikos A note on norms of signed sums of vectors. (English) Zbl 1461.52007 Adv. Geom. 21, No. 1, 5-14 (2021). MSC: 52A23 46B06 52A40 60D05 PDFBibTeX XMLCite \textit{G. Chasapis} and \textit{N. Skarmogiannis}, Adv. Geom. 21, No. 1, 5--14 (2021; Zbl 1461.52007) Full Text: DOI arXiv
Hu, Jiaqi; Xiong, Ge; Zou, Du On mixed \(L_{p}\) John ellipsoids. (English) Zbl 1433.52008 Adv. Geom. 19, No. 3, 297-312 (2019). Reviewer: Yiming Zhao (Cambridge, MA) MSC: 52A40 52A20 52A39 PDFBibTeX XMLCite \textit{J. Hu} et al., Adv. Geom. 19, No. 3, 297--312 (2019; Zbl 1433.52008) Full Text: DOI
Paouris, Grigoris; Valettas, Petros Variance estimates and almost Euclidean structure. (English) Zbl 1425.46006 Adv. Geom. 19, No. 2, 165-189 (2019). MSC: 46B07 46B09 52A21 52A23 PDFBibTeX XMLCite \textit{G. Paouris} and \textit{P. Valettas}, Adv. Geom. 19, No. 2, 165--189 (2019; Zbl 1425.46006) Full Text: DOI arXiv
Kummer, Mario Denis On the connectivity of the hyperbolicity region of irreducible polynomials. (English) Zbl 1411.14067 Adv. Geom. 19, No. 2, 231-233 (2019). MSC: 14P10 12D10 52A37 PDFBibTeX XMLCite \textit{M. D. Kummer}, Adv. Geom. 19, No. 2, 231--233 (2019; Zbl 1411.14067) Full Text: DOI arXiv
Brandenberg, René; González Merino, Bernardo; Jahn, Thomas; Martini, Horst Is a complete, reduced set necessarily of constant width? (English) Zbl 1428.52004 Adv. Geom. 19, No. 1, 31-40 (2019). Reviewer: Carsten Schütt (Kiel) MSC: 52A20 46B20 52A21 52A40 52B11 PDFBibTeX XMLCite \textit{R. Brandenberg} et al., Adv. Geom. 19, No. 1, 31--40 (2019; Zbl 1428.52004) Full Text: DOI arXiv
Gallet, Matteo; Saini, Elia The diffeomorphism type of small hyperplane arrangements is combinatorially determined. (English) Zbl 1408.14175 Adv. Geom. 19, No. 1, 89-100 (2019). Reviewer: Piotr Pokora (Kraków) MSC: 14N20 52B40 PDFBibTeX XMLCite \textit{M. Gallet} and \textit{E. Saini}, Adv. Geom. 19, No. 1, 89--100 (2019; Zbl 1408.14175) Full Text: DOI arXiv
Brazitikos, Silouanos; Giannopoulos, Apostolos; Liakopoulos, Dimitris-Marios Uniform cover inequalities for the volume of coordinate sections and projections of convex bodies. (English) Zbl 1395.52011 Adv. Geom. 18, No. 3, 345-354 (2018). MSC: 52A40 52A20 52A23 46B06 52A38 PDFBibTeX XMLCite \textit{S. Brazitikos} et al., Adv. Geom. 18, No. 3, 345--354 (2018; Zbl 1395.52011) Full Text: DOI arXiv
De Loera, J. A.; La Haye, R. N.; Oliveros, D.; Roldán-Pensado, E. Helly numbers of algebraic subsets of \(\mathbb{R}^{d}\) and an extension of Doignon’s theorem. (English) Zbl 1431.52011 Adv. Geom. 17, No. 4, 473-482 (2017). MSC: 52A35 52C07 PDFBibTeX XMLCite \textit{J. A. De Loera} et al., Adv. Geom. 17, No. 4, 473--482 (2017; Zbl 1431.52011) Full Text: DOI arXiv
Yepes Nicolás, Jesús On characterizations of sausages via inequalities and roots of Steiner polynomials. (English) Zbl 1401.52010 Adv. Geom. 17, No. 4, 441-452 (2017). Reviewer: Umut Caglar (Miami) MSC: 52A20 52A40 52A39 30C15 PDFBibTeX XMLCite \textit{J. Yepes Nicolás}, Adv. Geom. 17, No. 4, 441--452 (2017; Zbl 1401.52010) Full Text: DOI
Jahn, Thomas Successive radii and ball operators in generalized Minkowski spaces. (English) Zbl 1386.52003 Adv. Geom. 17, No. 3, 347-354 (2017). MSC: 52A21 52A27 52A40 PDFBibTeX XMLCite \textit{T. Jahn}, Adv. Geom. 17, No. 3, 347--354 (2017; Zbl 1386.52003) Full Text: DOI arXiv
Borgwardt, S.; De Loera, J. A.; Finhold, E. Edges versus circuits: a hierarchy of diameters in polyhedra. (English) Zbl 1386.52008 Adv. Geom. 16, No. 4, 511-530 (2016). MSC: 52B05 52B55 52B40 52C40 52C45 90C05 90C49 05B35 PDFBibTeX XMLCite \textit{S. Borgwardt} et al., Adv. Geom. 16, No. 4, 511--530 (2016; Zbl 1386.52008) Full Text: DOI arXiv
Fodor, Ferenc; Kurusa, Árpád; Vígh, Viktor Inequalities for hyperconvex sets. (English) Zbl 1386.52005 Adv. Geom. 16, No. 3, 337-348 (2016). MSC: 52A40 52A20 52A10 52A01 PDFBibTeX XMLCite \textit{F. Fodor} et al., Adv. Geom. 16, No. 3, 337--348 (2016; Zbl 1386.52005) Full Text: DOI Link
Papini, Pier Luigi; Wu, Senlin Constructions of complete sets. (English) Zbl 1337.46011 Adv. Geom. 15, No. 4, 485-498 (2015). Reviewer: Horst Martini (Chemnitz) MSC: 46B20 52A21 PDFBibTeX XMLCite \textit{P. L. Papini} and \textit{S. Wu}, Adv. Geom. 15, No. 4, 485--498 (2015; Zbl 1337.46011) Full Text: DOI
Ambrus, Gergely Extremal cross-polytopes and Gaussian vectors. (English) Zbl 1320.60029 Adv. Geom. 15, No. 1, 93-100 (2015). MSC: 60D05 52A40 PDFBibTeX XMLCite \textit{G. Ambrus}, Adv. Geom. 15, No. 1, 93--100 (2015; Zbl 1320.60029) Full Text: DOI arXiv
Alonso-Gutiérrez, David On a reverse Petty projection inequality for projections of convex bodies. (English) Zbl 1298.52006 Adv. Geom. 14, No. 2, 215-223 (2014). Reviewer: Alina Stancu (Montréal) MSC: 52A23 52A20 52A40 PDFBibTeX XMLCite \textit{D. Alonso-Gutiérrez}, Adv. Geom. 14, No. 2, 215--223 (2014; Zbl 1298.52006) Full Text: DOI
González, Bernardo; Hernández Cifre, María A. On successive radii of \(p\)-sums of convex bodies. (English) Zbl 1290.52003 Adv. Geom. 14, No. 1, 117-128 (2014). Reviewer: Vladimir Golubyatnikov (Novosibirsk) MSC: 52A20 52A40 PDFBibTeX XMLCite \textit{B. González} and \textit{M. A. Hernández Cifre}, Adv. Geom. 14, No. 1, 117--128 (2014; Zbl 1290.52003) Full Text: DOI
Zamfirescu, Tudor Typical simplicially convex bodies. (English) Zbl 1290.52006 Adv. Geom. 14, No. 1, 109-115 (2014). Reviewer: Anatoliy Milka (Kharkov) MSC: 52A20 52A01 PDFBibTeX XMLCite \textit{T. Zamfirescu}, Adv. Geom. 14, No. 1, 109--115 (2014; Zbl 1290.52006) Full Text: DOI Link
Lángi, Zsolt Ellipsoid characterization theorems. (English) Zbl 1266.52009 Adv. Geom. 13, No. 1, 145-154 (2013). Reviewer: Joscha Prochno (Linz) MSC: 52A21 52A20 46C15 PDFBibTeX XMLCite \textit{Z. Lángi}, Adv. Geom. 13, No. 1, 145--154 (2013; Zbl 1266.52009) Full Text: DOI arXiv Link
Martini, Horst; Spirova, Margarita On universal covers in normed planes. (English) Zbl 1266.52010 Adv. Geom. 13, No. 1, 41-50 (2013). Reviewer: Joscha Prochno (Linz) MSC: 52A21 46B20 52A10 52A40 52C15 PDFBibTeX XMLCite \textit{H. Martini} and \textit{M. Spirova}, Adv. Geom. 13, No. 1, 41--50 (2013; Zbl 1266.52010) Full Text: DOI
Burgués, Josep M.; Dwilewicz, Roman J. Geometry of semi-tube domains in \(\mathbb C^2\). (English) Zbl 1266.32044 Adv. Geom. 12, No. 4, 685-702 (2012). MSC: 32V20 32V25 32E99 32F99 PDFBibTeX XMLCite \textit{J. M. Burgués} and \textit{R. J. Dwilewicz}, Adv. Geom. 12, No. 4, 685--702 (2012; Zbl 1266.32044) Full Text: DOI
Weber, Matthias J.; Schröcker, Hans-Peter Minimal area conics in the elliptic plane. (English) Zbl 1291.51021 Adv. Geom. 12, No. 4, 665-684 (2012). Reviewer: Ivko Dimitric (Lemont Furnace) MSC: 51M10 52A40 PDFBibTeX XMLCite \textit{M. J. Weber} and \textit{H.-P. Schröcker}, Adv. Geom. 12, No. 4, 665--684 (2012; Zbl 1291.51021) Full Text: DOI arXiv
Breen, Marilyn A visible shoreline result for 3-convex islands. (English) Zbl 1277.52008 Adv. Geom. 12, No. 3, 509-514 (2012). Reviewer: Marek Lassak (Bydgoszcz) MSC: 52A30 52A10 52A35 PDFBibTeX XMLCite \textit{M. Breen}, Adv. Geom. 12, No. 3, 509--514 (2012; Zbl 1277.52008) Full Text: DOI
Malikiosis, Romanos-Diogenes A discrete analogue for Minkowski’s second theorem on successive minima. (English) Zbl 1247.52006 Adv. Geom. 12, No. 2, 347-365 (2012). Reviewer: Monika Nowicka (Bydgoszcz) MSC: 52A40 52C07 PDFBibTeX XMLCite \textit{R.-D. Malikiosis}, Adv. Geom. 12, No. 2, 365--380 (2012; Zbl 1247.52006) Full Text: DOI arXiv Link
Guo, Qi On \(p\)-measures of asymmetry for convex bodies. (English) Zbl 1242.52004 Adv. Geom. 12, No. 2, 287-301 (2012). Reviewer: Alina Stancu (Lowell) MSC: 52A20 52A39 52A40 PDFBibTeX XMLCite \textit{Q. Guo}, Adv. Geom. 12, No. 2, 287--301 (2012; Zbl 1242.52004) Full Text: DOI
Henk, Martin; Henze, Matthias; Wills, Jörg M. Blichfeldt-type inequalities and central symmetry. (English) Zbl 1230.52009 Adv. Geom. 11, No. 4, 731-744 (2011). Reviewer: Oleg Karpenkov (Graz) MSC: 52A20 52C07 52B20 52A40 11H06 52A38 PDFBibTeX XMLCite \textit{M. Henk} et al., Adv. Geom. 11, No. 4, 731--744 (2011; Zbl 1230.52009) Full Text: DOI
Colbois, Bruno; Verovic, Patrick Hilbert domains that admit a quasi-isometric embedding into Euclidean space. (English) Zbl 1220.53089 Adv. Geom. 11, No. 3, 465-470 (2011). MSC: 53C60 53C70 PDFBibTeX XMLCite \textit{B. Colbois} and \textit{P. Verovic}, Adv. Geom. 11, No. 3, 465--470 (2011; Zbl 1220.53089) Full Text: DOI
Howe, Sean; Pancia, Matthew; Zakharevich, Valentin Isoperimetric inequalities for wave fronts and a generalization of Menzin’s conjecture for bicycle monodromy on surfaces of constant curvature. (English) Zbl 1215.52003 Adv. Geom. 11, No. 2, 273-292 (2011). MSC: 52A15 52A40 PDFBibTeX XMLCite \textit{S. Howe} et al., Adv. Geom. 11, No. 2, 273--292 (2011; Zbl 1215.52003) Full Text: DOI arXiv
Spirova, Margarita Circle configurations in strictly convex normed planes. (English) Zbl 1204.52006 Adv. Geom. 10, No. 4, 631-646 (2010). MSC: 52A21 46B20 51B10 51H05 51M04 51M05 52C15 PDFBibTeX XMLCite \textit{M. Spirova}, Adv. Geom. 10, No. 4, 631--646 (2010; Zbl 1204.52006) Full Text: DOI
Fradelizi, M.; Gordon, Y.; Meyer, M.; Reisner, S. The case of equality for an inverse Santaló functional inequality. (English) Zbl 1215.52005 Adv. Geom. 10, No. 4, 621-630 (2010). Reviewer: Horst Martini (Chemnitz) MSC: 52A40 52A20 26B25 46B20 PDFBibTeX XMLCite \textit{M. Fradelizi} et al., Adv. Geom. 10, No. 4, 621--630 (2010; Zbl 1215.52005) Full Text: DOI
Hoffmann, Lars Michael Measures on the space of convex bodies. (English) Zbl 1205.52003 Adv. Geom. 10, No. 3, 477-486 (2010). Reviewer: Peter McMullen (London) MSC: 52A20 52A22 52A99 PDFBibTeX XMLCite \textit{L. M. Hoffmann}, Adv. Geom. 10, No. 3, 477--486 (2010; Zbl 1205.52003) Full Text: DOI
Joswig, Michael; Kulas, Katja Tropical and ordinary convexity combined. (English) Zbl 1198.14060 Adv. Geom. 10, No. 2, 333-352 (2010). Reviewer: Hannah Markwig (Göttingen) MSC: 14T05 52A01 PDFBibTeX XMLCite \textit{M. Joswig} and \textit{K. Kulas}, Adv. Geom. 10, No. 2, 333--352 (2010; Zbl 1198.14060) Full Text: DOI arXiv
Dafnis, N.; Giannopoulos, A.; Guédon, O. On the isotropic constant of random polytopes. (English) Zbl 1208.52004 Adv. Geom. 10, No. 2, 311-322 (2010). Reviewer: Carla Peri (Milano-Largo) MSC: 52A22 52A40 52A21 46B07 60D05 PDFBibTeX XMLCite \textit{N. Dafnis} et al., Adv. Geom. 10, No. 2, 311--322 (2010; Zbl 1208.52004) Full Text: DOI
Hernández Cifre, M. A.; Saorín, E. On the volume of inner parallel bodies. (English) Zbl 1194.52003 Adv. Geom. 10, No. 2, 275-286 (2010). Reviewer: Vladimir Golubyatnikov (Novosibirsk) MSC: 52A20 52A39 52A40 PDFBibTeX XMLCite \textit{M. A. Hernández Cifre} and \textit{E. Saorín}, Adv. Geom. 10, No. 2, 275--286 (2010; Zbl 1194.52003) Full Text: DOI
Averkov, Gennadiy; Martini, Horst On reduced polytopes and antipodality. (English) Zbl 1158.52012 Adv. Geom. 8, No. 4, 615-626 (2008). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 52B11 52B12 52A21 46B20 52B20 PDFBibTeX XMLCite \textit{G. Averkov} and \textit{H. Martini}, Adv. Geom. 8, No. 4, 615--626 (2008; Zbl 1158.52012) Full Text: DOI
Herburt, Irmina Location of radial centres of convex bodies. (English) Zbl 1151.52009 Adv. Geom. 8, No. 2, 309-313 (2008). Reviewer: Salvador Gomis (Alicante) MSC: 52A40 52A20 PDFBibTeX XMLCite \textit{I. Herburt}, Adv. Geom. 8, No. 2, 309--313 (2008; Zbl 1151.52009) Full Text: DOI
Moreno, José Pedro; Schneider, Rolf Intersection properties of polyhedral norms. (English) Zbl 1130.52003 Adv. Geom. 7, No. 3, 391-402 (2007). Reviewer: Maria Moszyńska (Warszawa) MSC: 52A21 46B20 PDFBibTeX XMLCite \textit{J. P. Moreno} and \textit{R. Schneider}, Adv. Geom. 7, No. 3, 391--402 (2007; Zbl 1130.52003) Full Text: DOI
Hernández Cifre, M. A.; Saorín, E. On the roots of the Steiner polynomial of a 3-dimensional convex body. (English) Zbl 1130.52002 Adv. Geom. 7, No. 2, 275-294 (2007). Reviewer: Johann Linhart (Salzburg) MSC: 52A15 52A39 52A40 PDFBibTeX XMLCite \textit{M. A. Hernández Cifre} and \textit{E. Saorín}, Adv. Geom. 7, No. 2, 275--294 (2007; Zbl 1130.52002) Full Text: DOI
Boltyanski, Vladimir; Martini, Horst Jung’s theorem for a pair of Minkowski spaces. (English) Zbl 1151.52006 Adv. Geom. 6, No. 4, 645-650 (2006). Reviewer: Alexey Alimov (Moskva) MSC: 52A21 52A40 52A05 46B20 PDFBibTeX XMLCite \textit{V. Boltyanski} and \textit{H. Martini}, Adv. Geom. 6, No. 4, 645--650 (2006; Zbl 1151.52006) Full Text: DOI
Goodman, J. E.; Holmsen, R. Pollack; Ranestad, K.; Sottile, F. Cremona convexity, frame convexity and a theorem of Santaló. (English) Zbl 1105.52004 Adv. Geom. 6, No. 2, 301-321 (2006). Reviewer: Pietro De Poi (Trieste) MSC: 52A35 14M15 14M12 PDFBibTeX XMLCite \textit{J. E. Goodman} et al., Adv. Geom. 6, No. 2, 301--321 (2006; Zbl 1105.52004) Full Text: DOI arXiv
Brannen, Noah Samuel Three-dimensional projection bodies. (English) Zbl 1067.52002 Adv. Geom. 5, No. 1, 1-13 (2005). Reviewer: Mircea Balaj (Oradea) MSC: 52A20 52A40 PDFBibTeX XMLCite \textit{N. S. Brannen}, Adv. Geom. 5, No. 1, 1--13 (2005; Zbl 1067.52002) Full Text: DOI