Arzhantsev, Ivan Limit points and additive group actions. (English) Zbl 07822704 Ric. Mat. 73, No. 2, 715-724 (2024). MSC: 14J50 14R20 13A50 14L30 PDFBibTeX XMLCite \textit{I. Arzhantsev}, Ric. Mat. 73, No. 2, 715--724 (2024; Zbl 07822704) Full Text: DOI arXiv
Beldiev, Ivan Gorenstein algebras and uniqueness of additive actions. (English) Zbl 07726198 Result. Math. 78, No. 5, Paper No. 192, 20 p. (2023). MSC: 14L30 14J70 13E10 PDFBibTeX XMLCite \textit{I. Beldiev}, Result. Math. 78, No. 5, Paper No. 192, 20 p. (2023; Zbl 07726198) Full Text: DOI arXiv
Shafarevich, Anton Euler-symmetric projective toric varieties and additive actions. (English) Zbl 1502.14129 Indag. Math., New Ser. 34, No. 1, 42-53 (2023). MSC: 14M25 14L30 14M27 14E07 PDFBibTeX XMLCite \textit{A. Shafarevich}, Indag. Math., New Ser. 34, No. 1, 42--53 (2023; Zbl 1502.14129) Full Text: DOI arXiv
Arzhantsev, Ivan V.; Zaitseva, Yulia I. Equivariant completions of affine spaces. (English. Russian original) Zbl 07733473 Russ. Math. Surv. 77, No. 4, 571-650 (2022); translation from Usp. Mat. Nauk 77, No. 4, 3-90 (2022). Reviewer: Oleksandr Iena (München) MSC: 14L30 14R10 13E10 14M25 20M32 PDFBibTeX XMLCite \textit{I. V. Arzhantsev} and \textit{Y. I. Zaitseva}, Russ. Math. Surv. 77, No. 4, 571--650 (2022; Zbl 07733473); translation from Usp. Mat. Nauk 77, No. 4, 3--90 (2022) Full Text: DOI arXiv MNR
Avdeev, R. S.; Zhgoon, V. S. On the existence of \(B\)-root subgroups on affine spherical varieties. (English. Russian original) Zbl 1491.14084 Dokl. Math. 105, No. 2, 51-55 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 5-10 (2022). MSC: 14R20 14M27 14M25 13N15 PDFBibTeX XMLCite \textit{R. S. Avdeev} and \textit{V. S. Zhgoon}, Dokl. Math. 105, No. 2, 51--55 (2022; Zbl 1491.14084); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 5--10 (2022) Full Text: DOI arXiv
Arzhantsev, Ivan; Avdeev, Roman Root subgroups on affine spherical varieties. (English) Zbl 1492.14108 Sel. Math., New Ser. 28, No. 3, Paper No. 60, 37 p. (2022). Reviewer: Dmitri A. Timashev (Moskva) MSC: 14R20 14M27 14M25 13N15 PDFBibTeX XMLCite \textit{I. Arzhantsev} and \textit{R. Avdeev}, Sel. Math., New Ser. 28, No. 3, Paper No. 60, 37 p. (2022; Zbl 1492.14108) Full Text: DOI arXiv
Kuroda, Motoki; Kuroda, Shigeru \(\mathbf{G}_a\)-actions on the affine line over a non-reduced ring. (English) Zbl 1523.14103 Hiroshima Math. J. 52, No. 1, 17-42 (2022). MSC: 14R20 13A50 PDFBibTeX XMLCite \textit{M. Kuroda} and \textit{S. Kuroda}, Hiroshima Math. J. 52, No. 1, 17--42 (2022; Zbl 1523.14103) Full Text: DOI
Dubouloz, Adrien; Hedén, Isac; Kishimoto, Takashi Rees algebras of additive group actions. (English) Zbl 1493.14104 Math. Z. 301, No. 1, 593-626 (2022). Reviewer: Tomasz Pełka (Bilbao) MSC: 14R20 14R25 14L30 13A30 PDFBibTeX XMLCite \textit{A. Dubouloz} et al., Math. Z. 301, No. 1, 593--626 (2022; Zbl 1493.14104) Full Text: DOI arXiv
Perepechko, Alexander Affine cones over cubic surfaces are flexible in codimension one. (English) Zbl 1484.14113 Forum Math. 33, No. 2, 339-348 (2021). MSC: 14R20 14L30 14J26 PDFBibTeX XMLCite \textit{A. Perepechko}, Forum Math. 33, No. 2, 339--348 (2021; Zbl 1484.14113) Full Text: DOI arXiv
Gubarev, Vsevolod; Perepechko, Alexander Injective Rota-Baxter operators of weight zero on \(F[x]\). (English) Zbl 1481.16053 Mediterr. J. Math. 18, No. 6, Paper No. 267, 14 p. (2021). Reviewer: Houyi Yu (Chongqing) MSC: 16W99 14R20 13A50 PDFBibTeX XMLCite \textit{V. Gubarev} and \textit{A. Perepechko}, Mediterr. J. Math. 18, No. 6, Paper No. 267, 14 p. (2021; Zbl 1481.16053) Full Text: DOI arXiv
Shafarevich, Anton Additive actions on toric projective hypersurfaces. (English) Zbl 1473.14096 Result. Math. 76, No. 3, Paper No. 145, 18 p. (2021). Reviewer: Jyoti Dasgupta (Chennai) MSC: 14M25 14L30 PDFBibTeX XMLCite \textit{A. Shafarevich}, Result. Math. 76, No. 3, Paper No. 145, 18 p. (2021; Zbl 1473.14096) Full Text: DOI arXiv
Shakhmatov, K. V. Smooth nonprojective equivariant completions of affine space. (English. Russian original) Zbl 1467.14113 Math. Notes 109, No. 6, 954-961 (2021); translation from Mat. Zametki 109, No. 6, 929-937 (2021). MSC: 14L30 14R25 14M25 14M15 PDFBibTeX XMLCite \textit{K. V. Shakhmatov}, Math. Notes 109, No. 6, 954--961 (2021; Zbl 1467.14113); translation from Mat. Zametki 109, No. 6, 929--937 (2021) Full Text: DOI arXiv
Dzhunusov, Sergey Additive actions on complete toric surfaces. (English) Zbl 1457.14102 Int. J. Algebra Comput. 31, No. 1, 19-35 (2021). Reviewer: Felipe Zaldívar (Ciudad de México) MSC: 14L30 14M25 14J50 PDFBibTeX XMLCite \textit{S. Dzhunusov}, Int. J. Algebra Comput. 31, No. 1, 19--35 (2021; Zbl 1457.14102) Full Text: DOI arXiv
Arzhantsev, Ivan; Liendo, Alvaro; Stasyuk, Taras Lie algebras of vertical derivations on semiaffine varieties with torus actions. (English) Zbl 1450.14010 J. Pure Appl. Algebra 225, No. 2, Article ID 106499, 17 p. (2021). MSC: 14M25 14R20 14L30 13N15 17B66 PDFBibTeX XMLCite \textit{I. Arzhantsev} et al., J. Pure Appl. Algebra 225, No. 2, Article ID 106499, 17 p. (2021; Zbl 1450.14010) Full Text: DOI arXiv
Dubouloz, Adrien; Hedén, Isac; Kishimoto, Takashi Equivariant extensions of \(\mathbb{G}_a\)-torsors over punctured surfaces. (English) Zbl 1477.14094 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, Spec. Iss., 133-167 (2020). Reviewer: Kayo Masuda (Himeji) MSC: 14R20 14R25 14R05 14L30 14D06 PDFBibTeX XMLCite \textit{A. Dubouloz} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, 133--167 (2020; Zbl 1477.14094) Full Text: DOI arXiv
Freudenburg, Gene The super-rank of a locally nilpotent derivation of a polynomial ring. (English) Zbl 1455.13012 Kuroda, Shigeru (ed.) et al., Polynomial rings and affine algebraic geometry. Selected papers based on the presentations at the conference, PRAAG 2018, Tokyo, Japan, February 12–16, 2018. Cham: Springer. Springer Proc. Math. Stat. 319, 143-150 (2020). MSC: 13A50 13N15 14M12 14R20 PDFBibTeX XMLCite \textit{G. Freudenburg}, Springer Proc. Math. Stat. 319, 143--150 (2020; Zbl 1455.13012) Full Text: DOI
Arzhantsev, Ivan; Bragin, Sergey; Zaitseva, Yulia Commutative algebraic monoid structures on affine spaces. (English) Zbl 1454.14150 Commun. Contemp. Math. 22, No. 8, Article ID 1950064, 23 p. (2020). Reviewer: Daniel Marín Aragon (Cádiz) MSC: 14R20 20M14 20M32 20G15 PDFBibTeX XMLCite \textit{I. Arzhantsev} et al., Commun. Contemp. Math. 22, No. 8, Article ID 1950064, 23 p. (2020; Zbl 1454.14150) Full Text: DOI arXiv
Matveev, D. A. Commuting homogeneous locally nilpotent derivations. (English. Russian original) Zbl 1483.14108 Sb. Math. 210, No. 11, 1609-1632 (2019); translation from Mat. Sb. 210, No. 11, 103-128 (2019). Reviewer: Klaus Altmann (Berlin) MSC: 14R20 PDFBibTeX XMLCite \textit{D. A. Matveev}, Sb. Math. 210, No. 11, 1609--1632 (2019; Zbl 1483.14108); translation from Mat. Sb. 210, No. 11, 103--128 (2019) Full Text: DOI arXiv
Dubouloz, Adrien Exotic \({\mathbb{G}}_a\)-quotients of \(\mathrm{SL}_2\times{\mathbb{A}}^1\). (English) Zbl 1460.14137 Eur. J. Math. 5, No. 3, 828-844 (2019). MSC: 14R05 14R20 14L30 14R25 PDFBibTeX XMLCite \textit{A. Dubouloz}, Eur. J. Math. 5, No. 3, 828--844 (2019; Zbl 1460.14137) Full Text: DOI arXiv
Prokhorov, Yuri; Zaidenberg, Mikhail New examples of cylindrical Fano fourfolds. (English) Zbl 1396.14062 Masuda, Kayo (ed.) et al., Algebraic varieties and automorphism groups. Proceedings of the workshop held at RIMS, Kyoto University, Kyoto, Japan, July 7–11, 2014. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-86497-048-8/hbk). Advanced Studies in Pure Mathematics 75, 443-463 (2017). MSC: 14R20 14J45 14J50 14R05 PDFBibTeX XMLCite \textit{Y. Prokhorov} and \textit{M. Zaidenberg}, Adv. Stud. Pure Math. 75, 443--463 (2017; Zbl 1396.14062) Full Text: arXiv
Kuroda, Shigeru The automorphism theorem and additive group actions on the affine plane. (English) Zbl 1402.14079 Nihonkai Math. J. 28, No. 1, 65-68 (2017). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 14R10 13A50 14R20 PDFBibTeX XMLCite \textit{S. Kuroda}, Nihonkai Math. J. 28, No. 1, 65--68 (2017; Zbl 1402.14079) Full Text: arXiv Euclid
Freudenburg, Gene Algebraic theory of locally nilpotent derivations. 2nd enlarged edition. (English) Zbl 1391.13001 Encyclopaedia of Mathematical Sciences 136. Invariant Theory and Algebraic Transformation Groups 7. Berlin: Springer (ISBN 978-3-662-55348-0/hbk; 978-3-662-55350-3/ebook). xxii, 319 p. (2017). Reviewer: N. Mohan Kumar (St. Louis) MSC: 13-02 13N10 14R20 14R10 PDFBibTeX XMLCite \textit{G. Freudenburg}, Algebraic theory of locally nilpotent derivations. 2nd enlarged edition. Berlin: Springer (2017; Zbl 1391.13001) Full Text: DOI Backlinks: MO
Freudenburg, Gene; Kuroda, Shigeru Cable algebras and rings of \(\mathbb{G}_a\)-invariants. (English) Zbl 1394.13009 Kyoto J. Math. 57, No. 2, 325-363 (2017). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 13A50 14R20 PDFBibTeX XMLCite \textit{G. Freudenburg} and \textit{S. Kuroda}, Kyoto J. Math. 57, No. 2, 325--363 (2017; Zbl 1394.13009) Full Text: DOI arXiv
Dubouloz, Adrien; Liendo, Alvaro Rationally integrable vector fields and rational additive group actions. (English) Zbl 1362.14015 Int. J. Math. 27, No. 8, Article ID 1650060, 19 p. (2016). Reviewer: Stéphane Lamy (Toulouse) MSC: 14E07 14L30 14M25 14R20 PDFBibTeX XMLCite \textit{A. Dubouloz} and \textit{A. Liendo}, Int. J. Math. 27, No. 8, Article ID 1650060, 19 p. (2016; Zbl 1362.14015) Full Text: DOI
Hedén, Isac Affine extensions of principal additive bundles over a punctured surface. (English) Zbl 1391.14116 Transform. Groups 21, No. 2, 427-449 (2016). Reviewer: Adrien Dubouloz (Dijon) MSC: 14R05 14R20 14R25 PDFBibTeX XMLCite \textit{I. Hedén}, Transform. Groups 21, No. 2, 427--449 (2016; Zbl 1391.14116) Full Text: DOI arXiv
Prokhorov, Yuri; Zaidenberg, Mikhail Examples of cylindrical Fano fourfolds. (English) Zbl 1375.14206 Eur. J. Math. 2, No. 1, 262-282 (2016). Reviewer: Adrien Dubouloz (Dijon) MSC: 14R20 14J45 14J50 14R05 PDFBibTeX XMLCite \textit{Y. Prokhorov} and \textit{M. Zaidenberg}, Eur. J. Math. 2, No. 1, 262--282 (2016; Zbl 1375.14206) Full Text: DOI arXiv
Langlois, Kevin; Liendo, Alvaro Additive group actions on affine \(\mathbb{T}\)-varieties of complexity one in arbitrary characteristic. (English) Zbl 1360.14147 J. Algebra 449, 730-773 (2016). Reviewer: N. Mohan Kumar (St. Louis) MSC: 14R05 14R20 PDFBibTeX XMLCite \textit{K. Langlois} and \textit{A. Liendo}, J. Algebra 449, 730--773 (2016; Zbl 1360.14147) Full Text: DOI arXiv
Stampfli, Immanuel Automorphisms of \(\mathbb{C}^{3}\) commuting with a \(\mathbb{C}^{+}\)-action. (English) Zbl 1346.14138 Int. Math. Res. Not. 2015, No. 19, 9832-9856 (2015). Reviewer: Vesselin Drensky (Sofia) MSC: 14R20 14R10 13A50 13F20 PDFBibTeX XMLCite \textit{I. Stampfli}, Int. Math. Res. Not. 2015, No. 19, 9832--9856 (2015; Zbl 1346.14138) Full Text: DOI arXiv
Dubouloz, Adrien; Kishimoto, Takashi Log-uniruled affine varieties without cylinder-like open subsets. (Variétés affines log-uniréglées ne contenant pas d’ouverts cylindriques.) (English. French summary) Zbl 1327.14196 Bull. Soc. Math. Fr. 143, No. 2, 383-401 (2015). Reviewer: Stéphane Lamy (Toulouse) MSC: 14J50 14R25 14D06 14E08 PDFBibTeX XMLCite \textit{A. Dubouloz} and \textit{T. Kishimoto}, Bull. Soc. Math. Fr. 143, No. 2, 383--401 (2015; Zbl 1327.14196) Full Text: DOI arXiv Link
Dubouloz, Adrien; Finston, David R.; Jaradat, Imad Proper triangular \(\mathbb G_a\)-actions on \(\mathbb A^4\) are translations. (English) Zbl 1344.14028 Algebra Number Theory 8, No. 8, 1959-1984 (2014). Reviewer: Vesselin Drensky (Sofia) MSC: 14L30 14R10 14R20 14R25 PDFBibTeX XMLCite \textit{A. Dubouloz} et al., Algebra Number Theory 8, No. 8, 1959--1984 (2014; Zbl 1344.14028) Full Text: DOI arXiv
Kishimoto, Takashi; Prokhorov, Yuri; Zaidenberg, Mikhail Affine cones over Fano threefolds and additive group actions. (English) Zbl 1308.14066 Osaka J. Math. 51, No. 4, 1093-1112 (2014). Reviewer: Karol Palka (Warszawa) MSC: 14R20 14J45 14J50 14R05 PDFBibTeX XMLCite \textit{T. Kishimoto} et al., Osaka J. Math. 51, No. 4, 1093--1112 (2014; Zbl 1308.14066) Full Text: arXiv Euclid
Kojima, Hideo Locally finite iterative higher derivations on \(k[x,y]\). (English) Zbl 1315.14079 Colloq. Math. 137, No. 2, 215-220 (2014). MSC: 14R20 13A50 13N15 PDFBibTeX XMLCite \textit{H. Kojima}, Colloq. Math. 137, No. 2, 215--220 (2014; Zbl 1315.14079) Full Text: DOI
Kuroda, Shigeru Initial forms of stable invariants for additive group actions. (English) Zbl 1317.14105 Transform. Groups 19, No. 3, 853-860 (2014). Reviewer: Karol Palka (Warszawa) MSC: 14L30 14R10 PDFBibTeX XMLCite \textit{S. Kuroda}, Transform. Groups 19, No. 3, 853--860 (2014; Zbl 1317.14105) Full Text: DOI arXiv
Dubouloz, Adrien; Finston, David R. Proper twin-triangular \(\mathbb G_a\)-actions on \(\mathbb A^4\) are translations. (English) Zbl 1297.14060 Proc. Am. Math. Soc. 142, No. 5, 1513-1526 (2014). Reviewer: Karol Palka (Warszawa) MSC: 14R20 14L30 PDFBibTeX XMLCite \textit{A. Dubouloz} and \textit{D. R. Finston}, Proc. Am. Math. Soc. 142, No. 5, 1513--1526 (2014; Zbl 1297.14060) Full Text: DOI arXiv
Hu, Wenchuan On additive invariants of actions of additive and multiplicative groups. (English) Zbl 1328.14074 J. \(K\)-Theory 12, No. 3, 551-568 (2013). MSC: 14L30 14C05 PDFBibTeX XMLCite \textit{W. Hu}, J. \(K\)-Theory 12, No. 3, 551--568 (2013; Zbl 1328.14074) Full Text: DOI arXiv
Crachiola, Anthony J.; Maubach, Stefan Rigid rings and Makar-Limanov techniques. (English) Zbl 1344.14036 Commun. Algebra 41, No. 11, 4248-4266 (2013). MSC: 14R20 13A50 PDFBibTeX XMLCite \textit{A. J. Crachiola} and \textit{S. Maubach}, Commun. Algebra 41, No. 11, 4248--4266 (2013; Zbl 1344.14036) Full Text: DOI arXiv
Tanimoto, Ryuji Representations of \({\mathbb G_a}\) of codimension two. (English) Zbl 1273.13008 Masuda, Kayo (ed.) et al., Affine algebraic geometry. Proceedings of the conference, Osaka, Japan, March 3–6, 2011. Dedicated to Professor Masayoshi Miyanishi on the occasion of his 70th birthday. Hackensack, NJ: World Scientific (ISBN 978-981-4436-69-4/hbk; 978-981-4436-71-7/ebook). 279-284 (2013). MSC: 13A50 14R20 PDFBibTeX XMLCite \textit{R. Tanimoto}, in: Affine algebraic geometry. Proceedings of the conference, Osaka, Japan, March 3--6, 2011. Dedicated to Professor Masayoshi Miyanishi on the occasion of his 70th birthday. Hackensack, NJ: World Scientific. 279--284 (2013; Zbl 1273.13008) Full Text: DOI
Masuda, Kayo Equivariant derivations and additive group actions. (English) Zbl 1246.14077 Daigle, Daniel (ed.) et al., Affine algebraic geometry: The Russell Festschrift. Outgrow of an international conference, McGill University, Montreal, QC, Canada. June 1–5, 2009, held in honour of Professor Peter Russell on the occasion of his 70th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-7283-3/pbk). CRM Proceedings and Lecture Notes 54, 231-242 (2011). Reviewer: Karol Palka (Warszawa) MSC: 14R10 14R20 13A50 PDFBibTeX XMLCite \textit{K. Masuda}, in: Affine algebraic geometry: The Russell Festschrift. Outgrow of an international conference, McGill University, Montreal, QC, Canada. June 1--5, 2009, held in honour of Professor Peter Russell on the occasion of his 70th birthday. Providence, RI: American Mathematical Society (AMS). 231--242 (2011; Zbl 1246.14077)
Dryło, Robert A remark on a paper of Crachiola and Makar-Limanov. (English) Zbl 1231.13007 Bull. Pol. Acad. Sci., Math. 59, No. 3, 203-206 (2011). MSC: 13A50 14R10 14R20 PDFBibTeX XMLCite \textit{R. Dryło}, Bull. Pol. Acad. Sci., Math. 59, No. 3, 203--206 (2011; Zbl 1231.13007) Full Text: DOI
Daigle, Daniel; Kaliman, Shulim A note on locally nilpotent derivations and variables of \(k[X,Y,Z]\). (English) Zbl 1185.14056 Can. Math. Bull. 52, No. 4, 535-543 (2009). Reviewer: Rajendra Gurjar (Mumbai) MSC: 14R10 14R20 14R25 13N15 PDFBibTeX XMLCite \textit{D. Daigle} and \textit{S. Kaliman}, Can. Math. Bull. 52, No. 4, 535--543 (2009; Zbl 1185.14056) Full Text: DOI
Masuda, Kayo; Miyanishi, Masayoshi Lifting of the additive group scheme actions. (English) Zbl 1190.14065 Tohoku Math. J. (2) 61, No. 2, 267-286 (2009). Reviewer: Rajendra Gurjar (Mumbai) MSC: 14R20 14R25 13N15 13A50 PDFBibTeX XMLCite \textit{K. Masuda} and \textit{M. Miyanishi}, Tôhoku Math. J. (2) 61, No. 2, 267--286 (2009; Zbl 1190.14065) Full Text: DOI
Tanaka, Mikiya Locally nilpotent derivations on modules. (English) Zbl 1180.14057 J. Math. Kyoto Univ. 49, No. 1, Article ID 7, 131-159 (2009). Reviewer: Stefan Maubach (Nijmegen) MSC: 14R20 13A50 14L30 PDFBibTeX XMLCite \textit{M. Tanaka}, J. Math. Kyoto Univ. 49, No. 1, Article ID 7, 131--159 (2009; Zbl 1180.14057) Full Text: DOI
Kaliman, Shulim Actions of \(\mathbb{C}^*\) and \(\mathbb{C}_+\) on affine algebraic varieties. (English) Zbl 1179.14041 Abramovich, D. (ed.) et al., Algebraic geometry, Seattle 2005. Proceedings of the 2005 Summer Research Institute, Seattle, WA, USA, July 25–August 12, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4703-9/hbk; 978-0-8218-4057-3/set). Proceedings of Symposia in Pure Mathematics. 80, Pt. 2, 629-654 (2009). Reviewer: Stefan Maubach (Nijmegen) MSC: 14R20 13A50 14R10 PDFBibTeX XMLCite \textit{S. Kaliman}, in: Algebraic geometry, Seattle 2005. Proceedings of the 2005 Summer Research Institute, Seattle, WA, USA, July 25--August 12, 2005. Providence, RI: American Mathematical Society (AMS). 629--654 (2009; Zbl 1179.14041) Full Text: arXiv
Finston, David R. Additive group actions: quotients, invariants, and cancellation. (English) Zbl 1143.14043 Acta Math. Vietnam. 32, No. 2-3, 223-232 (2007). Reviewer: Ivan V. Arzhantsev (Moskva) MSC: 14R20 14R10 14L24 14L30 PDFBibTeX XMLCite \textit{D. R. Finston}, Acta Math. Vietnam. 32, No. 2--3, 223--232 (2007; Zbl 1143.14043)
Deveney, James K.; Finston, David R. Additive group actions with finitely generated invariants. (English) Zbl 1131.14052 Osaka J. Math. 44, No. 1, 91-98 (2007). Reviewer: Dmitri A. Timashev (Moskva) MSC: 14L24 14L30 14R20 PDFBibTeX XMLCite \textit{J. K. Deveney} and \textit{D. R. Finston}, Osaka J. Math. 44, No. 1, 91--98 (2007; Zbl 1131.14052) Full Text: Euclid
Freudenburg, Gene Algebraic theory of locally nilpotent derivations. (English) Zbl 1121.13002 Encyclopaedia of Mathematical Sciences 136. Invariant Theory and Algebraic Transformation Groups 7. Berlin: Springer (ISBN 3-540-29521-6/hbk). 260 p. (2006). Reviewer: N. Mohan Kumar (St. Louis) MSC: 13-02 13N10 14R20 14R10 PDFBibTeX XMLCite \textit{G. Freudenburg}, Algebraic theory of locally nilpotent derivations. Berlin: Springer (2006; Zbl 1121.13002)
Dubouloz, A. Embeddings of Danielewski surfaces in affine spaces. (English) Zbl 1109.14042 Comment. Math. Helv. 81, No. 1, 49-73 (2006). Reviewer: Rajendra Gurjar (Mumbai) MSC: 14R20 14R25 PDFBibTeX XMLCite \textit{A. Dubouloz}, Comment. Math. Helv. 81, No. 1, 49--73 (2006; Zbl 1109.14042) Full Text: DOI
Crachiola, Anthony J. The hypersurface \(x+x^2y+z^2+t^3 = 0\) over a field of arbitrary characteristic. (English) Zbl 1101.14071 Proc. Am. Math. Soc. 134, No. 5, 1289-1298 (2006). Reviewer: N. Mohan Kumar (St. Louis) MSC: 14R10 13A50 14R05 PDFBibTeX XMLCite \textit{A. J. Crachiola}, Proc. Am. Math. Soc. 134, No. 5, 1289--1298 (2006; Zbl 1101.14071) Full Text: DOI
Kraft, Hanspeter Free \(\mathbb{C}^+\)-actions on affine threefolds. (English) Zbl 1073.14078 Gutierrez, Jaime (ed.) et al., Affine algebraic geometry. Contributions of the special session on affine algebraic geometry at the 1st joint AMS-RSME meeting, Seville, Spain, June 18–21, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3476-2/pbk). Contemporary Mathematics 369, 165-175 (2005). Reviewer: Kayo Masuda (Himeji) MSC: 14R20 PDFBibTeX XMLCite \textit{H. Kraft}, Contemp. Math. 369, 165--175 (2005; Zbl 1073.14078)
Kaliman, Shulim Free \(\mathbb{C}_+\)-actions on \(\mathbb{C}^3\) are translations. (English) Zbl 1058.14076 Invent. Math. 156, No. 1, 163-173 (2004). Reviewer: Olaf Teschke (Berlin) MSC: 14R20 14R10 14R25 13A50 14L30 PDFBibTeX XMLCite \textit{S. Kaliman}, Invent. Math. 156, No. 1, 163--173 (2004; Zbl 1058.14076) Full Text: DOI arXiv
Deveney, James K.; Finston, David R.; van Rossum, Peter Triangular \(G_{a}\) actions on \(\mathbb C^{4}\). (English) Zbl 1077.14093 Proc. Am. Math. Soc. 132, No. 10, 2841-2848 (2004). Reviewer: Annette A’Campo-Neuen (Basel) MSC: 14R20 14L30 20G20 PDFBibTeX XMLCite \textit{J. K. Deveney} et al., Proc. Am. Math. Soc. 132, No. 10, 2841--2848 (2004; Zbl 1077.14093) Full Text: DOI
Bonnet, Philippe Relative exactness modulo a polynomial map and algebraic \(({\mathbb C}^p,+)\)-actions. (English) Zbl 1067.14068 Bull. Soc. Math. Fr. 131, No. 3, 373-398 (2003). Reviewer: Kayo Masuda (Himeji) MSC: 14R25 14R20 PDFBibTeX XMLCite \textit{P. Bonnet}, Bull. Soc. Math. Fr. 131, No. 3, 373--398 (2003; Zbl 1067.14068) Full Text: DOI arXiv
Masuda, Kayo; Miyanishi, Masayoshi The additive group actions on \(\mathbb Q\)-homology planes. (English) Zbl 1085.14054 Ann. Inst. Fourier 53, No. 2, 429-464 (2003). Reviewer: Lucy Moser-Jauslin (Dijon) MSC: 14R20 14L30 14J26 PDFBibTeX XMLCite \textit{K. Masuda} and \textit{M. Miyanishi}, Ann. Inst. Fourier 53, No. 2, 429--464 (2003; Zbl 1085.14054) Full Text: DOI Numdam EuDML
Deveney, James K.; Finston, David R. Regular \(G_a\) invariants. (English) Zbl 1054.13002 Osaka J. Math. 39, No. 2, 275-282 (2002). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 13A50 13F20 14L30 20G20 PDFBibTeX XMLCite \textit{J. K. Deveney} and \textit{D. R. Finston}, Osaka J. Math. 39, No. 2, 275--282 (2002; Zbl 1054.13002)
Deveney, James K.; Finston, David R. \(G_a\) invariants and slices. (English) Zbl 1039.14023 Commun. Algebra 30, No. 3, 1437-1447 (2002). Reviewer: Nicolás Andruskiewitsch (Cordoba) MSC: 14L30 14L24 13A50 14M17 PDFBibTeX XMLCite \textit{J. K. Deveney} and \textit{D. R. Finston}, Commun. Algebra 30, No. 3, 1437--1447 (2002; Zbl 1039.14023) Full Text: DOI
Daigle, Daniel Affine rulings of weighted projective planes. (English) Zbl 0984.14020 Ann. Pol. Math. 76, No. 1-2, 47-66 (2001). Reviewer: H.Guggenheimer (West Hempstead) MSC: 14R10 14J26 14R20 13N15 PDFBibTeX XMLCite \textit{D. Daigle}, Ann. Pol. Math. 76, No. 1--2, 47--66 (2001; Zbl 0984.14020) Full Text: DOI Link
Derksen, Harm; Hadas, Ofer; Makar-Limanov, Leonid Newton polytopes of invariants of additive group actions. (English) Zbl 0986.13005 J. Pure Appl. Algebra 156, No. 2-3, 187-197 (2001). Reviewer: Peter Schenzel (Halle) MSC: 13A50 14M25 13F20 PDFBibTeX XMLCite \textit{H. Derksen} et al., J. Pure Appl. Algebra 156, No. 2--3, 187--197 (2001; Zbl 0986.13005) Full Text: DOI
Daigle, Daniel; Freudenburg, Gene A note on triangular derivations of \(\text \textbf{k}[X_1,X_2,X_3,X_4]\). (English) Zbl 0955.13011 Proc. Am. Math. Soc. 129, No. 3, 657-662 (2001). MSC: 13N15 13E15 14R10 13F20 PDFBibTeX XMLCite \textit{D. Daigle} and \textit{G. Freudenburg}, Proc. Am. Math. Soc. 129, No. 3, 657--662 (2001; Zbl 0955.13011) Full Text: DOI
Deveney, James K.; Finston, David R. Free \(G_{a}\) actions on \(\mathbb{C}^{3}\). (English) Zbl 0945.14029 Proc. Am. Math. Soc. 128, No. 1, 31-38 (2000). Reviewer: Annette A’Campo-Neuen (Konstanz) MSC: 14L30 13A50 20G20 14L24 PDFBibTeX XMLCite \textit{J. K. Deveney} and \textit{D. R. Finston}, Proc. Am. Math. Soc. 128, No. 1, 31--38 (2000; Zbl 0945.14029) Full Text: DOI
Deveney, James K.; Finston, David R. Local triviality of proper \(G_a\) actions. (English) Zbl 0958.14037 J. Algebra 221, No. 2, 692-704 (1999). Reviewer: Li Fu-an (Beijing) MSC: 14L30 14M17 PDFBibTeX XMLCite \textit{J. K. Deveney} and \textit{D. R. Finston}, J. Algebra 221, No. 2, 692--704 (1999; Zbl 0958.14037) Full Text: DOI
Deveney, James K.; Finston, David R. Determining local triviality of \(G_a\) actions. (English) Zbl 0930.14030 Commun. Algebra 27, No. 6, 3031-3039 (1999). Reviewer: E.Oeljeklaus (Bremen) MSC: 14L30 14L24 13P10 13A50 12F20 20G20 PDFBibTeX XMLCite \textit{J. K. Deveney} and \textit{D. R. Finston}, Commun. Algebra 27, No. 6, 3031--3039 (1999; Zbl 0930.14030) Full Text: DOI
Shalom, Yehuda Invariant measures for algebraic actions, Zariski dense subgroups and Kazhdan’s property \((T)\). (English) Zbl 0932.22007 Trans. Am. Math. Soc. 351, No. 8, 3387-3412 (1999). Reviewer: J.Ludwig (Metz) MSC: 22E35 14L30 20G05 28D15 PDFBibTeX XMLCite \textit{Y. Shalom}, Trans. Am. Math. Soc. 351, No. 8, 3387--3412 (1999; Zbl 0932.22007) Full Text: DOI
Finston, David R.; Walcher, Sebastian On a class of additive group actions on affine three-space. (English) Zbl 0954.14043 Rocky Mt. J. Math. 28, No. 2, 463-485 (1998). MSC: 14R20 13N10 14L30 17B66 PDFBibTeX XMLCite \textit{D. R. Finston} and \textit{S. Walcher}, Rocky Mt. J. Math. 28, No. 2, 463--485 (1998; Zbl 0954.14043) Full Text: DOI Link
Kojima, H.; Miyanishi, M. On Roberts’ counterexample to the fourteenth problem of Hilbert. (English) Zbl 0887.13009 J. Pure Appl. Algebra 122, No. 3, 277-292 (1997). Reviewer: M.Domokos (Budapest) MSC: 13E15 13A50 14L30 PDFBibTeX XMLCite \textit{H. Kojima} and \textit{M. Miyanishi}, J. Pure Appl. Algebra 122, No. 3, 277--292 (1997; Zbl 0887.13009) Full Text: DOI
Walcher, Sebastian On sums of vector fields. (English) Zbl 0897.35003 Result. Math. 31, No. 1-2, 161-169 (1997). Reviewer: A.Elduque (Zaragoza) MSC: 35A05 14L30 17D92 17A99 PDFBibTeX XMLCite \textit{S. Walcher}, Result. Math. 31, No. 1--2, 161--169 (1997; Zbl 0897.35003) Full Text: DOI
Deveney, James; Finston, David Algebraic aspects of additive group actions on complex affine space. (English) Zbl 0865.14006 Essen, Arno van den (ed.), Automorphisms of affine spaces. Proceedings of the international conference on invertible polynomial maps, held in Curaçao, Netherlands Antilles, July 4-8, 1994, under the auspices of the Caribbean Mathematical Foundation (CMF). Dordrecht: Kluwer Academic Publishers. 179-190 (1995). Reviewer: T.Krasiński (Łódź) MSC: 14H37 14L30 32M05 PDFBibTeX XMLCite \textit{J. Deveney} and \textit{D. Finston}, in: Automorphisms of affine spaces. Proceedings of the international conference on invertible polynomial maps, held in Curaçao, Netherlands Antilles, July 4-8, 1994, under the auspices of the Caribbean Mathematical Foundation (CMF). Dordrecht: Kluwer Academic Publishers. 179--190 (1995; Zbl 0865.14006)
Deveney, James K.; Finston, David R.; Gehrke, Mai \(G_ a\) actions on \(\mathbb{C}^ n\). (English) Zbl 0817.14029 Commun. Algebra 22, No. 12, 4977-4988 (1994). Reviewer: D.M.Snow (Notre Dame) MSC: 14L30 20G20 14L24 PDFBibTeX XMLCite \textit{J. K. Deveney} et al., Commun. Algebra 22, No. 12, 4977--4988 (1994; Zbl 0817.14029) Full Text: DOI
Fieseler, Karl-Heinz On complex affine surfaces with \(\mathbb{C}^ +\)-action. (English) Zbl 0806.14033 Comment. Math. Helv. 69, No. 1, 5-27 (1994). Reviewer: D.M.Snow (Notre Dame) MSC: 14L30 32J05 14J99 PDFBibTeX XMLCite \textit{K.-H. Fieseler}, Comment. Math. Helv. 69, No. 1, 5--27 (1994; Zbl 0806.14033) Full Text: DOI EuDML
Deveney, James K.; Finston, David R. Fields of \(G_ a\) invariants are ruled. (English) Zbl 0804.14023 Can. Math. Bull. 37, No. 1, 37-41 (1994). Reviewer: V.F.Ignatenko (Simferopol) MSC: 14L30 14L24 14M17 PDFBibTeX XMLCite \textit{J. K. Deveney} and \textit{D. R. Finston}, Can. Math. Bull. 37, No. 1, 37--41 (1994; Zbl 0804.14023) Full Text: DOI
Deveney, James K.; Finston, David R. Rationally triangulable automorphisms. (English) Zbl 0754.14031 J. Pure Appl. Algebra 72, No. 1, 1-4 (1991). MSC: 14L30 14H37 PDFBibTeX XMLCite \textit{J. K. Deveney} and \textit{D. R. Finston}, J. Pure Appl. Algebra 72, No. 1, 1--4 (1991; Zbl 0754.14031) Full Text: DOI
Panyushev, D. Yu. On actions of an additive group on \({\mathbb{A}}^ n\). (Russian) Zbl 0733.14020 Arithmetic and geometry of manifolds, Interuniv. Collect. Sci. Works, Kujbyshev, 105-114 (1989). MSC: 14L30 PDFBibTeX XML
Tan, Lin An algorithm for explicit generators of the invariants of the basic \(G_ a\)-actions. (English) Zbl 0671.14004 Commun. Algebra 17, No. 3, 565-572 (1989). Reviewer: E.Oeljeklaus MSC: 14L24 14L30 PDFBibTeX XMLCite \textit{L. Tan}, Commun. Algebra 17, No. 3, 565--572 (1989; Zbl 0671.14004) Full Text: DOI
Popov, V. L. On actions of \({\mathbb{G}}_ a\) on \({\mathbb{A}}^ n\). (English) Zbl 0685.14027 Algebraic groups, Proc. Symp., Utrecht/Neth. 1986, Lect. Notes Math. 1271, 237-242 (1987). Reviewer: R.Fossum MSC: 14L30 PDFBibTeX XML
Fauntleroy, Amassa; Magid, Andy R. Quasi-affine surfaces with \(G_a\)-actions. (English) Zbl 0399.14031 Proc. Am. Math. Soc. 68, 265 (1978). MSC: 14L30 14J10 14J25 PDFBibTeX XMLCite \textit{A. Fauntleroy} and \textit{A. R. Magid}, Proc. Am. Math. Soc. 68, 265 (1978; Zbl 0399.14031) Full Text: DOI