Chen, Huayi; Ikoma, Hideaki On subfiniteness of graded linear series. (English) Zbl 07202433 Eur. J. Math. 6, No. 2, 367-399 (2020). MSC: 14G40 11G30 PDF BibTeX XML Cite \textit{H. Chen} and \textit{H. Ikoma}, Eur. J. Math. 6, No. 2, 367--399 (2020; Zbl 07202433) Full Text: DOI
Kuroda, Shigeru Hilbert’s fourteenth problem and field modifications. (English) Zbl 07198528 J. Algebra 556, 93-105 (2020). MSC: 13E15 14E07 13A50 14E08 PDF BibTeX XML Cite \textit{S. Kuroda}, J. Algebra 556, 93--105 (2020; Zbl 07198528) Full Text: DOI
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 PDF BibTeX XML Cite \textit{G. Freudenburg}, Algebraic theory of locally nilpotent derivations. 2nd enlarged edition. Berlin: Springer (2017; Zbl 1391.13001) Full Text: DOI
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 PDF BibTeX XML Cite \textit{G. Freudenburg} and \textit{S. Kuroda}, Kyoto J. Math. 57, No. 2, 325--363 (2017; Zbl 1394.13009) Full Text: DOI
Kuroda, Shigeru Van den Essen’s conjecture on the kernel of a derivation having a slice. (English) Zbl 1368.13026 J. Algebra Appl. 14, No. 9, Article ID 1540003, 11 p. (2015). MSC: 13N15 13A50 PDF BibTeX XML Cite \textit{S. Kuroda}, J. Algebra Appl. 14, No. 9, Article ID 1540003, 11 p. (2015; Zbl 1368.13026) Full Text: DOI
Kobayashi, Ei; Kuroda, Shigeru A Galois counterexample to Hilbert’s fourteenth problem in dimension three with rational coefficients. (English) Zbl 1279.13030 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). 128-134 (2013). Reviewer: Jebrel M. Habeb (Irbid) MSC: 13F20 13A50 13E15 PDF BibTeX XML Cite \textit{E. Kobayashi} and \textit{S. Kuroda}, 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. 128--134 (2013; Zbl 1279.13030) Full Text: DOI
Bouchiba, S.; Kabbaj, S. On the prime ideal structure of symbolic Rees algebras. (English) Zbl 1260.13019 J. Commut. Algebra 4, No. 3, 327-343 (2012). MSC: 13C15 13F05 13F15 13E05 13F20 13G05 13B25 13B30 PDF BibTeX XML Cite \textit{S. Bouchiba} and \textit{S. Kabbaj}, J. Commut. Algebra 4, No. 3, 327--343 (2012; Zbl 1260.13019) Full Text: DOI Euclid arXiv
Avdeev, Roman An epimorphic subgroup arising from Roberts’ counterexample. (English) Zbl 1244.14040 Indag. Math., New Ser. 23, No. 1-2, 10-18 (2012). Reviewer: Vladimir L. Popov (Moskva) MSC: 14M17 14E25 20G05 PDF BibTeX XML Cite \textit{R. Avdeev}, Indag. Math., New Ser. 23, No. 1--2, 10--18 (2012; Zbl 1244.14040) Full Text: DOI arXiv
Dufresne, Emilie; Kohls, Martin A finite separating set for Daigle and Freudenburg’s counterexample to Hilbert’s fourteenth problem. (English) Zbl 1210.13010 Commun. Algebra 38, No. 11, 3987-3992 (2010). Reviewer: Ivan V. Arzhantsev (St. Martin d’Hères) MSC: 13A50 14L30 14R20 13N15 PDF BibTeX XML Cite \textit{E. Dufresne} and \textit{M. Kohls}, Commun. Algebra 38, No. 11, 3987--3992 (2010; Zbl 1210.13010) Full Text: DOI arXiv
Dufresne, Emilie; Maurischat, Andreas On the finite generation of additive group invariants in positive characteristic. (English) Zbl 1208.13005 J. Algebra 324, No. 8, 1952-1963 (2010). Reviewer: Mohsen Asgharzadeh (Tehran) MSC: 13A50 PDF BibTeX XML Cite \textit{E. Dufresne} and \textit{A. Maurischat}, J. Algebra 324, No. 8, 1952--1963 (2010; Zbl 1208.13005) Full Text: DOI arXiv
Bhatwadekar, S. M.; Daigle, Daniel On finite generation of kernels of locally nilpotent \(R\)-derivations of \(R[X,Y,Z]\). (English) Zbl 1234.13027 J. Algebra 322, No. 9, 2915-2926 (2009). Reviewer: Adrien Dubouloz (Dijon) MSC: 13N15 14R20 PDF BibTeX XML Cite \textit{S. M. Bhatwadekar} and \textit{D. Daigle}, J. Algebra 322, No. 9, 2915--2926 (2009; Zbl 1234.13027) Full Text: DOI
Bouchiba, S.; Kabbaj, S. Bouvier’s conjecture. (English) Zbl 1177.13026 Fontana, Marco (ed.) et al., Commutative algebra and its applications. Proceedings of the fifth international Fez conference on commutative algebra and applications, Fez, Morocco, June 23–28, 2009. Berlin: Walter de Gruyter (ISBN 978-3-11-020746-0/hbk). 79-88 (2009). MSC: 13C15 13F05 13F15 13E05 PDF BibTeX XML Cite \textit{S. Bouchiba} and \textit{S. Kabbaj}, in: Commutative algebra and its applications. Proceedings of the fifth international Fez conference on commutative algebra and applications, Fez, Morocco, June 23--28, 2009. Berlin: Walter de Gruyter. 79--88 (2009; Zbl 1177.13026) Full Text: arXiv
Brion, Michel Anti-affine algebraic groups. (English) Zbl 1166.14029 J. Algebra 321, No. 3, 934-952 (2009). Reviewer: Alan Koch (Decatur) MSC: 14L15 14K05 14G15 PDF BibTeX XML Cite \textit{M. Brion}, J. Algebra 321, No. 3, 934--952 (2009; Zbl 1166.14029) Full Text: DOI arXiv
Freudenburg, Gene A linear counterexample to the fourteenth problem of Hilbert in dimension eleven. (English) Zbl 1117.13007 Proc. Am. Math. Soc. 135, No. 1, 51-57 (2007). Reviewer: N. Mohan Kumar (St. Louis) MSC: 13A50 14R20 13N15 PDF BibTeX XML Cite \textit{G. Freudenburg}, Proc. Am. Math. Soc. 135, No. 1, 51--57 (2007; Zbl 1117.13007) Full Text: DOI
Tanimoto, Ryuji On the polynomiality of invariant rings for codimension one \(\mathbb {G}_a\)-modules. (English) Zbl 1113.13005 J. Algebra 305, No. 2, 1084-1092 (2006). Reviewer: Jebrel M. Habeb (Irbid) MSC: 13A50 15A72 PDF BibTeX XML Cite \textit{R. Tanimoto}, J. Algebra 305, No. 2, 1084--1092 (2006; Zbl 1113.13005) Full Text: DOI
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 PDF BibTeX XML Cite \textit{G. Freudenburg}, Algebraic theory of locally nilpotent derivations. Berlin: Springer (2006; Zbl 1121.13002)
van den Essen, Arno A simple solution of Hilbert’s fourteenth problem in dimension five. (English) Zbl 1091.14020 Colloq. Math. 105, No. 1, 167-170 (2006). MSC: 14R20 13A50 PDF BibTeX XML Cite \textit{A. van den Essen}, Colloq. Math. 105, No. 1, 167--170 (2006; Zbl 1091.14020) Full Text: DOI
Kuroda, Shigeru Fields defined by locally nilpotent derivations and monomials. (English) Zbl 1131.13022 J. Algebra 293, No. 2, 395-406 (2005). MSC: 13N15 12H05 13F20 PDF BibTeX XML Cite \textit{S. Kuroda}, J. Algebra 293, No. 2, 395--406 (2005; Zbl 1131.13022) Full Text: DOI
Khoury, Joseph A note on elementary derivations. (English) Zbl 1075.14055 Serdica Math. J. 30, No. 4, 549-570 (2004). Reviewer: Vesselin Drensky (Sofia) MSC: 14R10 14R20 13N15 PDF BibTeX XML Cite \textit{J. Khoury}, Serdica Math. J. 30, No. 4, 549--570 (2004; Zbl 1075.14055) Full Text: Link EuDML
Kuroda, Shigeru A generalization of Roberts’ counterexample to the fourteenth problem of Hilbert. (English) Zbl 1077.13003 Tohoku Math. J., II. Ser. 56, No. 4, 501-522 (2004). Reviewer: Lutz Strüngmann (Essen) MSC: 13A50 13E15 13N15 13P10 14R20 PDF BibTeX XML Cite \textit{S. Kuroda}, Tohoku Math. J. (2) 56, No. 4, 501--522 (2004; Zbl 1077.13003) Full Text: DOI
Kuroda, Shigeru A counterexample to the fourteenth problem of Hilbert in dimension four. (English) Zbl 1099.13035 J. Algebra 279, No. 1, 126-134 (2004). Reviewer: Ali Benhissi (Monastir) MSC: 13F20 13A50 PDF BibTeX XML Cite \textit{S. Kuroda}, J. Algebra 279, No. 1, 126--134 (2004; Zbl 1099.13035) Full Text: DOI
Tanimoto, Ryuji Linear counterexamples to the fourteenth problem of Hilbert. (English) Zbl 1063.14080 J. Algebra 275, No. 1, 331-338 (2004). Reviewer: Gene Freudenburg (Evansville) MSC: 14R20 14L24 13A50 13N15 PDF BibTeX XML Cite \textit{R. Tanimoto}, J. Algebra 275, No. 1, 331--338 (2004; Zbl 1063.14080) Full Text: DOI
Winkelmann, Jörg Invariant rings and quasiaffine quotients. (English) Zbl 1019.13003 Math. Z. 244, No. 1, 163-174 (2003). Reviewer: Ivan Arzhantsev (Moskva) MSC: 13A50 14R20 14L30 PDF BibTeX XML Cite \textit{J. Winkelmann}, Math. Z. 244, No. 1, 163--174 (2003; Zbl 1019.13003) Full Text: DOI Backlinks: MO
Kuroda, Shigeru A condition for finite generation of the kernel of a derivation. (English) Zbl 1076.13015 J. Algebra 262, No. 2, 391-400 (2003). MSC: 13N15 13F20 13G05 PDF BibTeX XML Cite \textit{S. Kuroda}, J. Algebra 262, No. 2, 391--400 (2003; Zbl 1076.13015) Full Text: DOI
Dolgachev, Igor Lectures on invariant theory. (English) Zbl 1023.13006 London Mathematical Society Lecture Note Series. 296. Cambridge: Cambridge University Press. xvi, 220 p. (2003). Reviewer: Werner Kleinert (Berlin) MSC: 13A50 15A72 13-01 14L24 14-01 15-01 PDF BibTeX XML Cite \textit{I. Dolgachev}, Lectures on invariant theory. Cambridge: Cambridge University Press (2003; Zbl 1023.13006)
Mukai, Shigeru An introduction to invariants and moduli. Transl. by W. M. Oxbury. (English) Zbl 1033.14008 Cambridge Tracts in Mathematics 81. Cambridge: Cambridge University Press (ISBN 0-521-80906-1/hbk). xx, 503 p. (2003). Reviewer: Werner Kleinert (Berlin) MSC: 14D20 14L24 14H60 14H40 14M17 13A50 14-01 14-02 PDF BibTeX XML Cite \textit{S. Mukai}, An introduction to invariants and moduli. Transl. by W. M. Oxbury. Cambridge: Cambridge University Press (2003; Zbl 1033.14008)
Freudenburg, G. A survey of counterexamples to Hilbert’s fourteenth problem. (English) Zbl 0982.13003 Serdica Math. J. 27, No. 3, 171-192 (2001). Reviewer: Vesselin Drensky (Sofia) MSC: 13A50 13-03 14R20 01A60 01A55 PDF BibTeX XML Cite \textit{G. Freudenburg}, Serdica Math. J. 27, No. 3, 171--192 (2001; Zbl 0982.13003) Full Text: EuDML
Freudenburg, Gene Recent progress on Hilbert’s Fourteenth Problem via triangular derivations. (English) Zbl 0985.13011 Ann. Pol. Math. 76, No. 1-2, 95-99 (2001). Reviewer: Harm Derksen (Ann Arbor) MSC: 13N15 14R20 13A50 PDF BibTeX XML Cite \textit{G. Freudenburg}, Ann. Pol. Math. 76, No. 1--2, 95--99 (2001; Zbl 0985.13011) Full Text: DOI
Khoury, Joseph On some properties of elementary derivations in dimension six. (English) Zbl 1014.13008 J. Pure Appl. Algebra 156, No. 1, 69-79 (2001). Reviewer: Gene Freudenburg (Evansville) MSC: 13N15 13F20 13A50 13F15 12F10 PDF BibTeX XML Cite \textit{J. Khoury}, J. Pure Appl. Algebra 156, No. 1, 69--79 (2001; Zbl 1014.13008) 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 PDF BibTeX XML Cite \textit{D. Daigle} and \textit{G. Freudenburg}, Proc. Am. Math. Soc. 129, No. 3, 657--662 (2001; Zbl 0955.13011) Full Text: DOI
Freudenburg, G. A counterexample to Hilbert’s fourteenth problem in dimension six. (English) Zbl 0993.13009 Transform. Groups 5, No. 1, 61-71 (1999). Reviewer: H.F.Kreimer (Tallahassee) MSC: 13F20 13N15 PDF BibTeX XML Cite \textit{G. Freudenburg}, Transform. Groups 5, No. 1, 61--71 (1999; Zbl 0993.13009) Full Text: DOI
Evain, Laurent The Hilbert function of the union of \(4^h\) generic fat points of \(\mathbb{P}^2\) of the same multiplicity. (La fonction de Hilbert de la réunion de \(4^h\) gros points génériques de \(\mathbb{P}^2\) de même multiplicité.) (English) Zbl 0953.14027 J. Algebr. Geom. 8, No. 4, 787-796 (1999). Reviewer: Takesi Kawasaki (Tokyo) MSC: 14M05 13D40 PDF BibTeX XML Cite \textit{L. Evain}, J. Algebr. Geom. 8, No. 4, 787--796 (1999; Zbl 0953.14027)
Kersten, I. Noether’s problem and normalization. (English) Zbl 1055.12501 Jahresber. Dtsch. Math.-Ver. 100, No. 1, 3-22 (1998). Reviewer: Olaf Ninnemann (Berlin) MSC: 12F10 12F20 01A60 PDF BibTeX XML Cite \textit{I. Kersten}, Jahresber. Dtsch. Math.-Ver. 100, No. 1, 3--22 (1998; Zbl 1055.12501)
Dolgachev, Igor V. Introduction to geometric invariant theory. (English) Zbl 0826.14008 Lecture Notes Series, Seoul. 25. Seoul: Seoul National University, xi, 137 p. (1994). Reviewer: D.M.Snow (Notre Dame) MSC: 14L24 14L30 14M25 14-02 PDF BibTeX XML Cite \textit{I. V. Dolgachev}, Introduction to geometric invariant theory. Seoul: Seoul National University (1994; Zbl 0826.14008)
Tan, Lin Some recent developments in the Popov-Pommerening conjecture. (English) Zbl 0746.14005 Group actions and invariant theory, Proc. Conf., Montreal/Can. 1988, CMS Conf. Proc. 10, 207-220 (1989). Reviewer: G.E.Winkler (Berlin) MSC: 14L24 20G05 14L30 13A50 PDF BibTeX XML
Constantinescu, Adrian Algebraization of schemes dominated by algebraic varieties. I. (English) Zbl 0606.13014 Rev. Roum. Math. Pures Appl. 31, 525-534 (1986). Reviewer: A.Kustin MSC: 13E15 14M05 PDF BibTeX XML Cite \textit{A. Constantinescu}, Rev. Roum. Math. Pures Appl. 31, 525--534 (1986; Zbl 0606.13014)
Grosshans, Frank D. Hilbert’s fourteenth problem for non-reductive groups. (English) Zbl 0579.14015 Math. Z. 193, 95-103 (1986). MSC: 14L24 14L30 20G99 PDF BibTeX XML Cite \textit{F. D. Grosshans}, Math. Z. 193, 95--103 (1986; Zbl 0579.14015) Full Text: DOI EuDML
Hochster, Melvin Invariant theory of commutative rings. (English) Zbl 0592.14009 Group actions on rings, Proc. AMS-IMS-SIAM Summer Res. Conf., Brunswick/ Maine 1984, Contemp. Math. 43, 161-179 (1985). Reviewer: Y.Lequain MSC: 14L24 13F20 14L30 PDF BibTeX XML
Grosshans, F. D. The invariants of unipotent radicals of parabolic subgroups. (English) Zbl 0501.14007 Invent. Math. 73, 1-9 (1983). MSC: 14L24 14L30 14L35 13F20 PDF BibTeX XML Cite \textit{F. D. Grosshans}, Invent. Math. 73, 1--9 (1983; Zbl 0501.14007) Full Text: DOI EuDML