Izhakian, Zur; Merlet, Glenn Semigroup identities of supertropical matrices. (English) Zbl 07596321 Semigroup Forum 105, No. 2, 466-477 (2022). MSC: 14T10 15A80 20Mxx PDF BibTeX XML Cite \textit{Z. Izhakian} and \textit{G. Merlet}, Semigroup Forum 105, No. 2, 466--477 (2022; Zbl 07596321) Full Text: DOI arXiv OpenURL
Chen, Zhijie; Guo, Jia-Wei; Lin, Chang-Shou Sharp upper bound of the number of solutions for the \(\mathrm{SU} (N + 1)\) Toda system on torus with non-critical parameters. (English) Zbl 1498.37091 J. Funct. Anal. 283, No. 5, Article ID 109560, 47 p. (2022). MSC: 37J35 37J37 14M25 PDF BibTeX XML Cite \textit{Z. Chen} et al., J. Funct. Anal. 283, No. 5, Article ID 109560, 47 p. (2022; Zbl 1498.37091) Full Text: DOI OpenURL
Hahn, Marvin Anas; Markwig, Hannah; Ren, Yue; Tyomkin, Ilya Tropicalized quartics and canonical embeddings for tropical curves of genus 3. (English) Zbl 1490.14099 Int. Math. Res. Not. 2021, No. 12, 8946-8976 (2021). Reviewer: Thomas Blomme (Paris) MSC: 14T10 14H50 PDF BibTeX XML Cite \textit{M. A. Hahn} et al., Int. Math. Res. Not. 2021, No. 12, 8946--8976 (2021; Zbl 1490.14099) Full Text: DOI arXiv OpenURL
Pokora, Piotr Hirzebruch-type inequalities viewed as tools in combinatorics. (English) Zbl 1461.52025 Electron. J. Comb. 28, No. 1, Research Paper P1.9, 22 p. (2021). Reviewer: C. P. Anil Kumar (Chennai) MSC: 52C35 14N20 52C30 32S22 14T20 PDF BibTeX XML Cite \textit{P. Pokora}, Electron. J. Comb. 28, No. 1, Research Paper P1.9, 22 p. (2021; Zbl 1461.52025) Full Text: DOI arXiv OpenURL
Markwig, Thomas; Ren, Yue Computing tropical varieties over fields with valuation. (English) Zbl 1445.14085 Found. Comput. Math. 20, No. 4, 783-800 (2020). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 14T10 12J25 13F25 13P10 14Q15 14P05 PDF BibTeX XML Cite \textit{T. Markwig} and \textit{Y. Ren}, Found. Comput. Math. 20, No. 4, 783--800 (2020; Zbl 1445.14085) Full Text: DOI arXiv OpenURL
Len, Yoav; Markwig, Hannah Lifting tropical bitangents. (English) Zbl 1498.14154 J. Symb. Comput. 96, 122-152 (2020). MSC: 14T20 14T15 68W30 PDF BibTeX XML Cite \textit{Y. Len} and \textit{H. Markwig}, J. Symb. Comput. 96, 122--152 (2020; Zbl 1498.14154) Full Text: DOI arXiv Link OpenURL
Kala, Vítězslav; Korbelář, Miroslav Idempotence of finitely generated commutative semifields. (English) Zbl 1404.12010 Forum Math. 30, No. 6, 1461-1474 (2018). MSC: 12K10 16Y60 20M14 11H06 52A20 PDF BibTeX XML Cite \textit{V. Kala} and \textit{M. Korbelář}, Forum Math. 30, No. 6, 1461--1474 (2018; Zbl 1404.12010) Full Text: DOI arXiv OpenURL
Lorscheid, Oliver The geometry of blueprints. Part II: Tits-Weyl models of algebraic groups. (English) Zbl 1423.14012 Forum Math. Sigma 6, Paper No. e20, 90 p. (2018). MSC: 14A20 14A15 14L15 14L35 11G05 16Y60 20M14 PDF BibTeX XML Cite \textit{O. Lorscheid}, Forum Math. Sigma 6, Paper No. e20, 90 p. (2018; Zbl 1423.14012) Full Text: DOI arXiv OpenURL
Bhuniya, Anjan Kumar; Jana, Kanchan Representation of normal bands as semigroups of \(k\)-bi-ideals of a semiring. (English) Zbl 1420.16032 Algebra Univers. 79, No. 1, Paper No. 6, 9 p. (2018). MSC: 16Y60 PDF BibTeX XML Cite \textit{A. K. Bhuniya} and \textit{K. Jana}, Algebra Univers. 79, No. 1, Paper No. 6, 9 p. (2018; Zbl 1420.16032) Full Text: DOI OpenURL
De Wolff, Timo Amoebas and their tropicalizations – a survey. (English) Zbl 1404.32011 Andersson, Mats (ed.) et al., Analysis meets geometry. The Mikael Passare memorial volume. Cham: Birkhäuser/Springer (ISBN 978-3-319-52469-6/hbk; 978-3-319-52471-9/ebook). Trends in Mathematics, 157-190 (2017). MSC: 32A60 32P05 32-02 PDF BibTeX XML Cite \textit{T. De Wolff}, in: Analysis meets geometry. The Mikael Passare memorial volume. Cham: Birkhäuser/Springer. 157--190 (2017; Zbl 1404.32011) Full Text: DOI OpenURL
Le Hoang Mai; Nguyen Xuan Tuyen Some remarks on the Jacobson radical types of semirings and related problems. (English) Zbl 1373.16074 Vietnam J. Math. 45, No. 3, 493-506 (2017). MSC: 16Y60 16N99 PDF BibTeX XML Cite \textit{Le Hoang Mai} and \textit{Nguyen Xuan Tuyen}, Vietnam J. Math. 45, No. 3, 493--506 (2017; Zbl 1373.16074) Full Text: DOI OpenURL
Bertram, Aaron; Easton, Robert The tropical Nullstellensatz for congruences. (English) Zbl 1407.14058 Adv. Math. 308, 36-82 (2017). MSC: 14T05 16Y60 PDF BibTeX XML Cite \textit{A. Bertram} and \textit{R. Easton}, Adv. Math. 308, 36--82 (2017; Zbl 1407.14058) Full Text: DOI OpenURL
Nobe, Atsushi Group actions on the tropical Hesse pencil. (English) Zbl 1362.14066 Japan J. Ind. Appl. Math. 33, No. 3, 537-556 (2016). MSC: 14T05 14H52 37P99 PDF BibTeX XML Cite \textit{A. Nobe}, Japan J. Ind. Appl. Math. 33, No. 3, 537--556 (2016; Zbl 1362.14066) Full Text: DOI arXiv OpenURL
Bihan, Frédéric Irrational mixed decomposition and sharp fewnomial bounds for tropical polynomial systems. (English) Zbl 1375.14210 Discrete Comput. Geom. 55, No. 4, 907-933 (2016). MSC: 14T05 52A39 52B20 PDF BibTeX XML Cite \textit{F. Bihan}, Discrete Comput. Geom. 55, No. 4, 907--933 (2016; Zbl 1375.14210) Full Text: DOI arXiv OpenURL
Brugallé, Erwan; Markwig, Hannah Deformation of tropical Hirzebruch surfaces and enumerative geometry. (English) Zbl 1396.14065 J. Algebr. Geom. 25, No. 4, 633-702 (2016). Reviewer: Hulya Arguz (London) MSC: 14T05 PDF BibTeX XML Cite \textit{E. Brugallé} and \textit{H. Markwig}, J. Algebr. Geom. 25, No. 4, 633--702 (2016; Zbl 1396.14065) Full Text: DOI arXiv OpenURL
Koh, Doowon; Shen, Chun-Yen; Shparlinski, Igor Averaging operators over homogeneous varieties over finite fields. (English) Zbl 1346.43002 J. Geom. Anal. 26, No. 2, 1415-1441 (2016). Reviewer: Shuyang Cheng (Chicago) MSC: 43A32 11T23 43A15 PDF BibTeX XML Cite \textit{D. Koh} et al., J. Geom. Anal. 26, No. 2, 1415--1441 (2016; Zbl 1346.43002) Full Text: DOI arXiv OpenURL
Izhakian, Zur; Rowen, Louis Congruences and coordinate semirings of tropical varieties. (English) Zbl 1338.14060 Bull. Sci. Math. 140, No. 3, 231-259 (2016). Reviewer: Mirela Ştefănescu (Bucureşti) MSC: 14T05 16Y60 12K10 PDF BibTeX XML Cite \textit{Z. Izhakian} and \textit{L. Rowen}, Bull. Sci. Math. 140, No. 3, 231--259 (2016; Zbl 1338.14060) Full Text: DOI arXiv OpenURL
Baker, Matthew; Len, Yoav; Morrison, Ralph; Pflueger, Nathan; Ren, Qingchun Bitangents of tropical plane quartic curves. (English) Zbl 1371.14067 Math. Z. 282, No. 3-4, 1017-1031 (2016). MSC: 14T05 14H45 14H50 14H51 PDF BibTeX XML Cite \textit{M. Baker} et al., Math. Z. 282, No. 3--4, 1017--1031 (2016; Zbl 1371.14067) Full Text: DOI arXiv Link OpenURL
Connes, Alain; Consani, Caterina Geometry of the arithmetic site. (English) Zbl 1368.14038 Adv. Math. 291, 274-329 (2016). Reviewer: Igor V. Nikolaev (New York) MSC: 14G99 11S40 12K10 14G10 58B34 46L85 PDF BibTeX XML Cite \textit{A. Connes} and \textit{C. Consani}, Adv. Math. 291, 274--329 (2016; Zbl 1368.14038) Full Text: DOI arXiv OpenURL
Yu, Tony Yue Tropicalization of the moduli space of stable maps. (English) Zbl 1375.14220 Math. Z. 281, No. 3-4, 1035-1059 (2015). MSC: 14T05 14G22 14H15 03C98 03C10 32B20 PDF BibTeX XML Cite \textit{T. Y. Yu}, Math. Z. 281, No. 3--4, 1035--1059 (2015; Zbl 1375.14220) Full Text: DOI arXiv Link OpenURL
Linde, J.; de la Puente, M. J. Matrices commuting with a given normal tropical matrix. (English) Zbl 1321.15046 Linear Algebra Appl. 482, 101-121 (2015). MSC: 15A80 14T05 15B57 PDF BibTeX XML Cite \textit{J. Linde} and \textit{M. J. de la Puente}, Linear Algebra Appl. 482, 101--121 (2015; Zbl 1321.15046) Full Text: DOI arXiv OpenURL
Schmitz, Kirsten Generic tropical varieties on subvarieties and in the non-constant coefficient case. (English) Zbl 1325.14082 J. Algebra 439, 294-315 (2015). Reviewer: Jaiung Jun (Binghamton) MSC: 14T05 PDF BibTeX XML Cite \textit{K. Schmitz}, J. Algebra 439, 294--315 (2015; Zbl 1325.14082) Full Text: DOI arXiv OpenURL
de la Puente, María Jesús Distances on the tropical line determined by two points. (English) Zbl 1321.14050 Kybernetika 50, No. 3, 408-435 (2014). Reviewer: Péter E. Frenkel (Budapest) MSC: 14T05 15A80 PDF BibTeX XML Cite \textit{M. J. de la Puente}, Kybernetika 50, No. 3, 408--435 (2014; Zbl 1321.14050) Full Text: arXiv Link OpenURL
Izhakian, Zur; Knebusch, Manfred; Rowen, Louis Layered tropical mathematics. (English) Zbl 1355.16046 J. Algebra 416, 200-273 (2014). MSC: 16Y60 06F20 12K10 14T05 PDF BibTeX XML Cite \textit{Z. Izhakian} et al., J. Algebra 416, 200--273 (2014; Zbl 1355.16046) Full Text: DOI arXiv OpenURL
Theobald, Thorsten; de Wolff, Timo Amoebas of genus at most one. (English) Zbl 1330.14090 Adv. Math. 239, 190-213 (2013). Reviewer: Martin Ulirsch (Bonn) MSC: 14M25 14Q10 14T05 52B20 PDF BibTeX XML Cite \textit{T. Theobald} and \textit{T. de Wolff}, Adv. Math. 239, 190--213 (2013; Zbl 1330.14090) Full Text: DOI arXiv OpenURL
Tohǎneanu, Ştefan O.; Van Tuyl, Adam Bounding invariants of fat points using a coding theory construction. (English) Zbl 1274.13029 J. Pure Appl. Algebra 217, No. 2, 269-279 (2013). Reviewer: Giuseppe Zappalà (Catania) MSC: 13D02 13D40 94B27 PDF BibTeX XML Cite \textit{Ş. O. Tohǎneanu} and \textit{A. Van Tuyl}, J. Pure Appl. Algebra 217, No. 2, 269--279 (2013; Zbl 1274.13029) Full Text: DOI arXiv OpenURL
Aroca, Fuensanta; Gómez-Morales, Mirna; Shabbir, Khurram Torical modification of Newton non-degenerate ideals. (English) Zbl 1262.14041 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 107, No. 1, 221-239 (2013). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 14J17 14M25 PDF BibTeX XML Cite \textit{F. Aroca} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 107, No. 1, 221--239 (2013; Zbl 1262.14041) Full Text: DOI arXiv OpenURL
Block, Florian Relative node polynomials for plane curves. (English) Zbl 1273.14130 J. Algebr. Comb. 36, No. 2, 279-308 (2012). Reviewer: Hannah Markwig (Göttingen) MSC: 14T05 14N10 14N35 PDF BibTeX XML Cite \textit{F. Block}, J. Algebr. Comb. 36, No. 2, 279--308 (2012; Zbl 1273.14130) Full Text: DOI arXiv OpenURL
Lagerberg, Aron Super currents and tropical geometry. (English) Zbl 1318.32040 Math. Z. 270, No. 3-4, 1011-1050 (2012). MSC: 32U05 31C10 14T05 52A99 PDF BibTeX XML Cite \textit{A. Lagerberg}, Math. Z. 270, No. 3--4, 1011--1050 (2012; Zbl 1318.32040) Full Text: DOI arXiv OpenURL
Wang, Xuhui; Chen, Falai Implicitization, parameterization and singularity computation of Steiner surfaces using moving surfaces. (English) Zbl 1245.65021 J. Symb. Comput. 47, No. 6, 733-750 (2012). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65D17 PDF BibTeX XML Cite \textit{X. Wang} and \textit{F. Chen}, J. Symb. Comput. 47, No. 6, 733--750 (2012; Zbl 1245.65021) Full Text: DOI OpenURL
Rabinoff, Joseph Tropical analytic geometry, Newton polygons, and tropical intersections. (English) Zbl 1285.14072 Adv. Math. 229, No. 6, 3192-3255 (2012). Reviewer: Ivan Bazhov (Carouge) MSC: 14T05 PDF BibTeX XML Cite \textit{J. Rabinoff}, Adv. Math. 229, No. 6, 3192--3255 (2012; Zbl 1285.14072) Full Text: DOI arXiv OpenURL
Izhakian, Zur; Shustin, Eugenii Idempotent semigroups and tropical algebraic sets. (English) Zbl 1273.14133 J. Eur. Math. Soc. (JEMS) 14, No. 2, 489-520 (2012). Reviewer: Hannah Markwig (Göttingen) MSC: 14T05 20M14 06F05 12K10 13B25 22A15 51M20 PDF BibTeX XML Cite \textit{Z. Izhakian} and \textit{E. Shustin}, J. Eur. Math. Soc. (JEMS) 14, No. 2, 489--520 (2012; Zbl 1273.14133) Full Text: DOI arXiv OpenURL
Römer, Tim; Schmitz, Kirsten Generic tropical varieties. (English) Zbl 1246.14082 J. Pure Appl. Algebra 216, No. 1, 140-148 (2012). Reviewer: Péter E. Frenkel (Budapest) MSC: 14T05 13P10 13F20 14Q99 PDF BibTeX XML Cite \textit{T. Römer} and \textit{K. Schmitz}, J. Pure Appl. Algebra 216, No. 1, 140--148 (2012; Zbl 1246.14082) Full Text: DOI arXiv OpenURL
Connes, Alain The hyperring of adèle classes. (L’hyperanneau des classes d’adèles.) (French. English summary) Zbl 1277.11091 J. Théor. Nombres Bordx. 23, No. 1, 71-93 (2011). Reviewer: Igor V. Nikolaev (Southbridge) MSC: 11M55 11R56 14G10 16Y99 46L85 PDF BibTeX XML Cite \textit{A. Connes}, J. Théor. Nombres Bordx. 23, No. 1, 71--93 (2011; Zbl 1277.11091) Full Text: DOI EuDML OpenURL
Izhakian, Zur; Rhodes, John; Steinberg, Benjamin Representation theory of finite semigroups over semirings. (English) Zbl 1260.20084 J. Algebra 336, No. 1, 139-157 (2011). MSC: 20M30 16Y60 PDF BibTeX XML Cite \textit{Z. Izhakian} et al., J. Algebra 336, No. 1, 139--157 (2011; Zbl 1260.20084) Full Text: DOI arXiv OpenURL
Viro, O. Ya. On basic concepts of tropical geometry. (English. Russian original) Zbl 1237.14074 Proc. Steklov Inst. Math. 273, 252-282 (2011); translation from Tr. Mat. Inst. Steklova 273, 271-303 (2011). Reviewer: Alexander Esterov (Moscow) MSC: 14T05 12K10 20N20 54A99 PDF BibTeX XML Cite \textit{O. Ya. Viro}, Proc. Steklov Inst. Math. 273, 252--282 (2011; Zbl 1237.14074); translation from Tr. Mat. Inst. Steklova 273, 271--303 (2011) Full Text: DOI OpenURL
Izhakian, Zur; Knebusch, Manfred; Rowen, Louis Supertropical semirings and supervaluations. (English) Zbl 1225.13009 J. Pure Appl. Algebra 215, No. 10, 2431-2463 (2011). Reviewer: Mirela Ştefănescu (Constanţa) MSC: 13A18 13F30 16W60 16Y60 03G10 06B23 12K10 14T05 PDF BibTeX XML Cite \textit{Z. Izhakian} et al., J. Pure Appl. Algebra 215, No. 10, 2431--2463 (2011; Zbl 1225.13009) Full Text: DOI arXiv OpenURL
de la Puente, M. J. Tropical linear maps on the plane. (English) Zbl 1221.15008 Linear Algebra Appl. 435, No. 7, 1681-1710 (2011). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A04 15A21 15B33 12K99 PDF BibTeX XML Cite \textit{M. J. de la Puente}, Linear Algebra Appl. 435, No. 7, 1681--1710 (2011; Zbl 1221.15008) Full Text: DOI arXiv OpenURL
Brannetti, Silvia; Melo, Margarida; Viviani, Filippo On the tropical Torelli map. (English) Zbl 1218.14056 Adv. Math. 226, No. 3, 2546-2586 (2011). Reviewer: Hannah Markwig (Göttingen) MSC: 14T05 PDF BibTeX XML Cite \textit{S. Brannetti} et al., Adv. Math. 226, No. 3, 2546--2586 (2011; Zbl 1218.14056) Full Text: DOI arXiv OpenURL
Aroca, Fuensanta Krull-tropical hypersurfaces. (English) Zbl 1223.14069 Ann. Fac. Sci. Toulouse, Math. (6) 19, No. 3-4, 525-538 (2010). Reviewer: Hannah Markwig (Göttingen) MSC: 14T05 PDF BibTeX XML Cite \textit{F. Aroca}, Ann. Fac. Sci. Toulouse, Math. (6) 19, No. 3--4, 525--538 (2010; Zbl 1223.14069) Full Text: DOI arXiv EuDML OpenURL
Izhakian, Zur; Rowen, Louis Supertropical polynomials and resultants. (English) Zbl 1227.12008 J. Algebra 324, No. 8, 1860-1886 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 12K10 16Y60 14T99 PDF BibTeX XML Cite \textit{Z. Izhakian} and \textit{L. Rowen}, J. Algebra 324, No. 8, 1860--1886 (2010; Zbl 1227.12008) Full Text: DOI arXiv OpenURL
Izhakian, Zur; Rowen, Louis Supertropical algebra. (English) Zbl 1273.14132 Adv. Math. 225, No. 4, 2222-2286 (2010). MSC: 14T05 16Y60 11C08 13B22 PDF BibTeX XML Cite \textit{Z. Izhakian} and \textit{L. Rowen}, Adv. Math. 225, No. 4, 2222--2286 (2010; Zbl 1273.14132) Full Text: DOI arXiv OpenURL
Caporaso, Lucia; Viviani, Filippo Torelli theorem for graphs and tropical curves. (English) Zbl 1200.14025 Duke Math. J. 153, No. 1, 129-171 (2010). Reviewer: Hannah Markwig (Göttingen) MSC: 14C34 14T05 05C99 PDF BibTeX XML Cite \textit{L. Caporaso} and \textit{F. Viviani}, Duke Math. J. 153, No. 1, 129--171 (2010; Zbl 1200.14025) Full Text: DOI arXiv OpenURL
Vigeland, Magnus Dehli Smooth tropical surfaces with infinitely many tropical lines. (English) Zbl 1198.14061 Ark. Mat. 48, No. 1, 177-206 (2010). Reviewer: Alexander Esterov (Madrid) MSC: 14T05 14J26 PDF BibTeX XML Cite \textit{M. D. Vigeland}, Ark. Mat. 48, No. 1, 177--206 (2010; Zbl 1198.14061) Full Text: DOI arXiv OpenURL
Ansola, M.; De La Puente, M. J. A note on tropical triangles in the plane. (English) Zbl 1185.52022 Acta Math. Sin., Engl. Ser. 25, No. 11, 1775-1786 (2009). MSC: 52C35 52C20 15A39 12K99 PDF BibTeX XML Cite \textit{M. Ansola} and \textit{M. J. De La Puente}, Acta Math. Sin., Engl. Ser. 25, No. 11, 1775--1786 (2009; Zbl 1185.52022) Full Text: DOI arXiv Link OpenURL
Odagiri, Shinsuke The tropical resultant. (English) Zbl 1160.14041 Proc. Japan Acad., Ser. A 84, No. 7, 93-96 (2008). Reviewer: María Jesús de la Puente (Madrid) MSC: 14M99 15A15 16Y60 12K10 PDF BibTeX XML Cite \textit{S. Odagiri}, Proc. Japan Acad., Ser. A 84, No. 7, 93--96 (2008; Zbl 1160.14041) Full Text: DOI Euclid OpenURL