Paiva, Daniela; Quedo, Ana Automorphisms of quartic surfaces and Cremona transformations. (English) Zbl 07975247 J. Pure Appl. Algebra 229, No. 1, Article ID 107850, 11 p. (2025). MSC: 14J28 14E07 14J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Miura, Kei Extendable birational transformations belonging to Galois points. (English) Zbl 07960888 Rend. Circ. Mat. Palermo (2) 73, No. 8, 3327-3331 (2024). MSC: 14E07 14H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abouelsaad, Ahmed Galois points and Cremona transformations. (English) Zbl 07954186 Glasg. Math. J. 66, No. 3, 471-478 (2024). MSC: 14E07 14H05 14H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bell, Jason; Moosa, Rahim; Satriano, Matthew On invariant rational functions under rational transformations. (English) Zbl 07865504 Sel. Math., New Ser. 30, No. 3, Paper No. 53, 23 p. (2024). Reviewer: Ivo M. Michailov (Shumen) MSC: 14E07 12H10 12L12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Raspanti, Maria Anna G. V. Schiaparelli and plane geometric transformations: his contribution and fundamental error. (English) Zbl 1541.01012 Boll. Stor. Sci. Mat. 43, No. 2, 203-241 (2024). MSC: 01A55 × Cite Format Result Cite Review PDF Full Text: DOI
Dzhamay, Anton; Filipuk, Galina; Ligȩza, Adam; Stokes, Alexander Different Hamiltonians for differential Painlevé equations and their identification using a geometric approach. (English) Zbl 1542.34074 J. Differ. Equations 399, 281-334 (2024). MSC: 34M55 34M56 34M25 37J65 14E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Occhetta, Gianluca; Romano, Eleonora A.; Solá Conde, Luis Eduardo; Wiśniewski, Jarosław A. Rational homogeneous spaces as geometric realizations of birational transformations. (English) Zbl 1519.14044 Rend. Circ. Mat. Palermo (2) 72, No. 6, 3223-3253 (2023). Reviewer: Roberto Muñoz (Madrid) MSC: 14L30 14E30 14L24 14M17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grossi, Annalisa; Onorati, Claudio; Veniani, Davide Cesare Symplectic birational transformations of finite order on O’Grady’s sixfolds. (English) Zbl 1534.14040 Kyoto J. Math. 63, No. 3, 615-639 (2023). Reviewer: Dino Festi (Milano) MSC: 14J42 14J50 14E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Fan, Yu-Wei; Lai, Kuan-Wen New rational cubic fourfolds arising from Cremona transformations. (English) Zbl 1535.14034 Algebr. Geom. 10, No. 4, 432-460 (2023). Reviewer: Nikolaos Tziolas (Lefkosía) MSC: 14E05 14E08 14J35 14J70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Occhetta, Gianluca; Romano, Eleonora A.; Solá Conde, Luis E.; Wiśniewski, Jarosław A. Geometric realizations of birational transformations via \({{\mathbb{C}}}^*\)-actions. (English) Zbl 1519.14045 Math. Z. 304, No. 3, Paper No. 45, 22 p. (2023). Reviewer: Roberto Muñoz (Madrid) MSC: 14L30 14E30 14L24 14M17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dang, Nguyen-Bac; Tiozzo, Giulio A central limit theorem for the degree of a random product of Cremona transformations. (English) Zbl 1527.37104 Indiana Univ. Math. J. 72, No. 1, 301-329 (2023). Reviewer: Nikolaos Tziolas (Lefkosía) MSC: 37P05 14E05 14E07 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Occhetta, Gianluca; Romano, Eleonora A.; Solá Conde, Luis E.; Wiśniewski, Jarosław A. Small bandwidth \(\mathbb{C}^*\)-actions and birational geometry. (English) Zbl 1510.14032 J. Algebr. Geom. 32, No. 1, 1-57 (2023). Reviewer: Roberto Muñoz (Madrid) MSC: 14L30 14E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Calabri, Alberto; Nguyen Thi Ngoc Giao On the classification of cubic planar Cremona maps. (Sur la classification des transformations cubiques planes de Cremona.) (English. French summary) Zbl 1525.14018 Bull. Soc. Math. Fr. 150, No. 4, 625-676 (2022). Reviewer: Nikolaos Tziolas (Lefkosía) MSC: 14E05 14E07 × Cite Format Result Cite Review PDF Full Text: DOI
Asgarli, Shamil; Lai, Kuan-Wen; Nakahara, Masahiro; Zimmermann, Susanna Bijective Cremona transformations of the plane. (English) Zbl 1535.14035 Sel. Math., New Ser. 28, No. 3, Paper No. 53, 58 p. (2022). MSC: 14E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abell, Dan T.; Dragt, Alex J. Structure-preserving techniques in accelerator physics. (English) Zbl 1497.37100 Int. J. Comput. Math. 99, No. 1, 89-112 (2022). Reviewer: Luigi Brugnano (Firenze) MSC: 37M15 37M05 37J11 65P10 70H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Simis, Aron; Ramos, Zaqueu Graded algebras in algebraic geometry. (English) Zbl 1487.13001 De Gruyter Expositions in Mathematics 70. Berlin: De Gruyter (ISBN 978-3-11-063754-0/hbk; 978-3-11-064069-4/ebook). xv, 445 p. (2022). Reviewer: Jorge Neves (Coimbra) MSC: 13-02 13A02 13A30 14-02 14A05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Raspanti, Maria Anna Giusto Bellavitis and its ‘Geometria di Derivazione’. (Italian. English summary) Zbl 1491.01020 Boll. Stor. Sci. Mat. 41, No. 1, 69-99 (2021). Reviewer: Robert W. van der Waall (Huizen) MSC: 01A55 51-03 51A15 14N20 15-02 15-03 15Axx × Cite Format Result Cite Review PDF Full Text: DOI
Dumnicki, Marcin; Harbourne, Brian; Roé, Joaquim; Szemberg, Tomasz; Tutaj-Gasińska, Halszka Unexpected surfaces singular on lines in \(\mathbb{P}^3\). (English) Zbl 1467.14018 Eur. J. Math. 7, No. 2, 570-590 (2021). Reviewer: Piotr Pokora (Kraków) MSC: 14C20 14E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Shengyuan Birational Kleinian groups. arXiv:2103.09350 Preprint, arXiv:2103.09350 [math.DS] (2021). MSC: 57S30 14E07 32Q30 32M99 57M50 37F75 × Cite Format Result Cite Full Text: arXiv OA License
Xu, Jinsong A remark on the rank of finite \(p\)-groups of birational automorphisms. (English. French summary) Zbl 1454.14037 C. R., Math., Acad. Sci. Paris 358, No. 7, 827-829 (2020). Reviewer: Georgi Hristov Georgiev (Shumen) MSC: 14E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blanc, Jérémy; Yasinsky, Egor Quotients of groups of birational transformations of cubic del Pezzo fibrations. (Quotients de groupes de transformations birationnelles de fibrations en del Pezzo cubiques.) (English. French summary) Zbl 1451.14036 J. Éc. Polytech., Math. 7, 1089-1112 (2020). Reviewer: Shengyuan Zhao (Stony Brook) MSC: 14E07 14E05 14E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lesieutre, John; Satriano, Matthew A rational map with infinitely many points of distinct arithmetic degrees. (English) Zbl 1454.37098 Ergodic Theory Dyn. Syst. 40, No. 11, 3051-3055 (2020). Reviewer: Shengyuan Zhao (Stony Brook) MSC: 37P55 37P30 14E07 14E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Urech, Christian Simple groups of birational transformations in dimension two. (English) Zbl 1476.14033 Comment. Math. Helv. 95, No. 2, 211-246 (2020). Reviewer: Shengyuan Zhao (Stony Brook) MSC: 14E07 14L30 32M05 20F67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cantat, Serge; Xie, Junyi On degrees of birational mappings. (English) Zbl 1441.14044 Math. Res. Lett. 27, No. 2, 319-337 (2020). Reviewer: Shengyuan Zhao (Stony Brook) MSC: 14E07 37F10 32H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Reede, Fabian The cubo-cubic transformation and \(K3\) surfaces. (English) Zbl 1504.14026 Result. Math. 74, No. 4, Paper No. 194, 7 p. (2019). MSC: 14E07 14J28 14M12 14E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Usher, Michael Infinite staircases in the symplectic embedding problem for four-dimensional ellipsoids into polydisks. (English) Zbl 1429.53096 Algebr. Geom. Topol. 19, No. 4, 1935-2022 (2019). MSC: 53D22 53D35 57R40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blanc, Jérémy; Furter, Jean-Philippe Length in the Cremona group. (Longueur dans le groupe de Cremona.) (English) Zbl 1441.14043 Ann. Henri Lebesgue 2, 187-257 (2019). MSC: 14E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Höhn, Gerald; Mason, Geoffrey Finite groups of symplectic automorphisms of Hyperkähler manifolds of type \(K3\). (English) Zbl 1425.53053 Bull. Inst. Math., Acad. Sin. (N.S.) 14, No. 2, 189-264 (2019). Reviewer: Quanting Zhao (Wuhan) MSC: 53C26 55M35 11F50 14E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baidabekov, Auyez; Baymukhanov, Seriktay; Kemelbekova, Elmira Graphical model of the biquadratic transformation. (English) Zbl 1400.68243 Cocchiarella, Luigi (ed.), ICGG 2018 – Proceedings of the 18th international conference on geometry and graphics. 40th anniversary – Milan, Italy, August 3–7, 2018. In 2 volumes. Cham: Springer; Milan: Politecnico de Milano (ISBN 978-3-319-95587-2/pbk; 978-3-319-95588-9/ebook). Advances in Intelligent Systems and Computing 809, 147-160 (2019). MSC: 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Rubtsov, V. Quadro-cubic Cremona transformations and Feigin-Odesskii-Sklyanin algebras with 5 generators. (English) Zbl 1445.37050 Buchstaber, Victor M. (ed.) et al., Recent developments in integrable systems and related topics of mathematical physics. Kezenoi-Am, Russia, 2016. Cham: Springer. Springer Proc. Math. Stat. 273, 75-106 (2018). Reviewer: Georgi Hristov Georgiev (Shumen) MSC: 37K30 14E07 14E05 53D17 53D20 × Cite Format Result Cite Review PDF Full Text: DOI
Bibikov, P. V. On the subgroups of birational contact maps and the Klein-Keller conjecture. (On the subgroups of birational contact maps and the Kartan-Keller’s conjecture.) (Russian. English summary) Zbl 1419.14019 Dal’nevost. Mat. Zh. 18, No. 1, 9-17 (2018). MSC: 14E07 58A20 × Cite Format Result Cite Review PDF Full Text: MNR
Stokes, Alexander Full-parameter discrete Painlevé systems from non-translational Cremona isometries. (English) Zbl 1411.34116 J. Phys. A, Math. Theor. 51, No. 49, Article ID 495206, 31 p. (2018). MSC: 34M55 14H70 14E07 33D52 39A12 39A10 37K10 37K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Prokhorov, Yuriĭ G. The rationality problem for conic bundles. (English. Russian original) Zbl 1400.14040 Russ. Math. Surv. 73, No. 3, 375-456 (2018); translation from Usp. Mat. Nauk 73, No. 3, 3-88 (2018). Reviewer: Chen Jiang (Tokyo) MSC: 14E05 14J30 14E07 14E30 14J45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hassett, Brendan; Lai, Kuan-Wen Cremona transformations and derived equivalences of \(K3\) surfaces. (English) Zbl 1407.14010 Compos. Math. 154, No. 7, 1508-1533 (2018). Reviewer: Amin Gholampour (College Park) MSC: 14E07 14J28 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Presotto, Dennis Symmetric noncommutative birational transformations. (English) Zbl 1403.14009 J. Noncommut. Geom. 12, No. 2, 733-778 (2018). Reviewer: Dennis Keeler (Oxford, OH) MSC: 14A22 14E05 14E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blanc, Jérémy Algebraic structures of groups of birational transformations. (English) Zbl 1387.14049 Can, Mahir Bilen (ed.), Algebraic groups: structure and actions. 2015 Clifford lectures on algebraic groups: structures and actions, Tulane University, New Orleans, LA, USA, March 2–5, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2601-9/hbk; 978-1-4704-3751-0/ebook). Proceedings of Symposia in Pure Mathematics 94, 17-30 (2017). MSC: 14E07 14L30 × Cite Format Result Cite Review PDF Full Text: arXiv
Alkauskas, Giedrius The projective translation equation and rational plane flows. II: Corrections and additions. (English) Zbl 1374.39027 Aequationes Math. 91, No. 5, 871-907 (2017). MSC: 39B12 14E07 35F05 37E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hedén, Isac; Zimmermann, Susanna The decomposition group of a line in the plane. (English) Zbl 1370.14012 Proc. Am. Math. Soc. 145, No. 9, 3665-3680 (2017). Reviewer: John Lesieutre (Chicago) MSC: 14E07 14J26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Déserti, Julie; Han, Frédéric Quarto-quartic birational maps of \(\mathbb{P}_3(\mathbb{C})\). (English) Zbl 1388.14044 Int. J. Math. 28, No. 5, Article ID 1750037, 25 p. (2017). Reviewer: Stéphane Lamy (Toulouse) MSC: 14E05 14E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ciliberto, Ciro; Cueto, Maria Angelica; Mella, Massimiliano; Ranestad, Kristian; Zwiernik, Piotr Cremona linearizations of some classical varieties. (English) Zbl 1402.14013 Casnati, Gianfranco (ed.) et al., From classical to modern algebraic geometry. Corrado Segre’s mastership and legacy. Basel: Birkhäuser/Springer (ISBN 978-3-319-32992-5/hbk; 978-3-319-32994-9/ebook). Trends in the History of Science, 375-407 (2016). MSC: 14E07 14E08 14N05 14E05 14E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vaccaro, Maria Alessandra From quadratic to birational transformations. A survey of the correspondence of Luigi Cremona. (Italian. English summary) Zbl 1366.01012 Boll. Stor. Sci. Mat. 36, No. 1, 9-44 (2016). Reviewer: Guido Gherardi (Bologna) MSC: 01A55 01A70 14-03 × Cite Format Result Cite Review PDF
Lesieutre, John; Ottem, John Christian Curves disjoint from a nef divisor. (English) Zbl 1344.14007 Mich. Math. J. 65, No. 2, 321-332 (2016). Reviewer: Roberto Munoz (Madrid) MSC: 14C20 14E30 14E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Blanc, Jérémy; Calabri, Alberto On degenerations of plane Cremona transformations. (English) Zbl 1354.14024 Math. Z. 282, No. 1-2, 223-245 (2016). Reviewer: Enrica Floris (Basel) MSC: 14E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alzati, Alberto; Sierra, José Carlos Special birational transformations of projective spaces. (English) Zbl 1358.14017 Adv. Math. 289, 567-602 (2016). Reviewer: Georgi Hristov Georgiev (Shumen) MSC: 14E05 14N05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ciliberto, Ciro; Sallent Del Colombo, Emma Gian Battista Guccia and the Circolo Matematico di Palermo. (English) Zbl 1432.01051 Lett. Mat., Int. Ed. 3, No. 4, 177-188 (2015). MSC: 01A60 01A70 × Cite Format Result Cite Review PDF Full Text: DOI
Dzhamay, Anton; Takenawa, Tomoyuki Geometric analaysis of reductions from Schlesinger transformations to difference Painlevé equations. (English) Zbl 1352.34115 Dzhamay, Anton (ed.) et al., Algebraic and analytic aspects of integrable systems and Painlevé equations. AMS special session, Baltimore, MD, USA, January 18, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1654-6/pbk; 978-1-4704-2779-5/ebook). Contemporary Mathematics 651, 87-124 (2015). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M55 34M56 14E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blanc, Jérémy; Hedén, Isac The group of Cremona transformations generated by linear maps and the standard involution. (Le groupe des transformations de Cremona engendré par les applications linéaires et l’involution standard.) (English. French summary) Zbl 1333.14015 Ann. Inst. Fourier 65, No. 6, 2641-2680 (2015). Reviewer: Enrica Floris (Bonn) MSC: 14E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iyudu, Natalia; Shkarin, Stanislav The proof of the Kontsevich periodicity conjecture on noncommutative birational transformations. (English) Zbl 1334.16028 Duke Math. J. 164, No. 13, 2539-2575 (2015). MSC: 16S38 16S50 15A15 15A09 37F10 13F60 16S85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid Link
Aluffi, Paolo Multidegrees of monomial rational maps. (English) Zbl 1349.14051 Publ. Res. Inst. Math. Sci. 51, No. 4, 635-654 (2015). MSC: 14E05 52B20 14E07 14M25 14C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bisi, Cinzia; Calabri, Alberto; Mella, Massimiliano On plane Cremona transformations of fixed degree. (English) Zbl 1322.14034 J. Geom. Anal. 25, No. 2, 1108-1131 (2015). Reviewer: Stéphane Lamy (Toulouse) MSC: 14E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Alzati, Alberto; Sierra, José Carlos Quadro-quadric special birational transformations of projective spaces. (English) Zbl 1316.14030 Int. Math. Res. Not. 2015, No. 1, 55-77 (2015). Reviewer: Georgi Hristov Georgiev (Shumen) MSC: 14E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pirio, Luc; Russo, Francesco Quadro-quadric Cremona transformations in low dimensions via the \(JC\)-correspondence. (English. French summary) Zbl 1310.14021 Ann. Inst. Fourier 64, No. 1, 71-111 (2014). Reviewer: Enrica Floris (London) MSC: 14E07 17C36 14M22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lesieutre, John The diminished base locus is not always closed. (English) Zbl 1317.14031 Compos. Math. 150, No. 10, 1729-1741 (2014). Reviewer: Nikolaos Tziolas (Nicosia) MSC: 14E07 14E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wehlau, David L. Weitzenböck derivations of nilpotency 3. (English) Zbl 1316.13039 Forum Math. 26, No. 2, 577-591 (2014). Reviewer: Ivo M. Michailov (Shumen) MSC: 13N15 13A50 13P10 14E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Oguiso, Keiji Quartic \(K3\) surfaces and Cremona transformations. (English) Zbl 1302.14032 Laza, Radu (ed.) et al., Arithmetic and geometry of \(K3\) surfaces and Calabi-Yau threefolds. Proceedings of the workshop, Toronto, Canada, August 16–25, 2011. New York, NY: Springer (ISBN 978-1-4614-6402-0/hbk; 978-1-4614-6403-7/ebook). Fields Institute Communications 67, 455-460 (2013). MSC: 14J28 14E07 14J50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cerveau, Dominique; Déserti, Julie Birational transformations of small degree. (Transformations birationnelles de petit degré.) (French) Zbl 1284.14002 Cours Spécialisés (Paris) 19. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-770-4/hbk). vii, 223 p. (2013). Reviewer: Stéphane Lamy (Toulouse) MSC: 14-02 14E05 14E07 14N25 14N05 × Cite Format Result Cite Review PDF Full Text: arXiv
Ustimenko, Vasyl; Romańczuk, Urszula On dynamical systems of large girth or cycle indicator and their applications to multivariate cryptography. (English) Zbl 1277.94039 Yang, Xin-She (ed.), Artificial intelligence, evolutionary computing and metaheuristics. In the footsteps of Alan Turing. Berlin: Springer (ISBN 978-3-642-29693-2/hbk; 978-3-642-29694-9/ebook). Studies in Computational Intelligence 427, 231-256 (2013). MSC: 94A60 68Q05 14G50 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Alkauskas, Giedrius The projective translation equation and rational plane flows. I. (English) Zbl 1281.39014 Aequationes Math. 85, No. 3, 273-328 (2013). Reviewer: Andrzej Smajdor (Kraków) MSC: 39B12 14E07 35F05 37E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Avritzer, D.; Lange, H. Cremona transformations associated to quadratic complexes. (English) Zbl 1333.14014 Rend. Circ. Mat. Palermo (2) 62, No. 1, 27-36 (2013). MSC: 14E07 × Cite Format Result Cite Review PDF Full Text: DOI
Avritzer, Dan; Gonzalez-Sprinberg, Gerard; Pan, Ivan On singular quadratic complexes, quintic curves and Cremona transformations. (English) Zbl 1264.14015 Rend. Circ. Mat. Palermo (2) 61, No. 2, 201-240 (2012). Reviewer: Emilia Mezzetti (Trieste) MSC: 14E07 14E05 14H45 14J17 × Cite Format Result Cite Review PDF Full Text: DOI
Dolgachev, Igor V. Classical algebraic geometry. A modern view. (English) Zbl 1252.14001 Cambridge: Cambridge University Press (ISBN 978-1-107-01765-8/hbk; 978-1-139-08443-7/ebook). xii, 639 p. (2012). Reviewer: Werner Kleinert (Berlin) MSC: 14-02 14H50 14J25 14E07 14H42 14Mxx 14N15 14N25 14-01 14Nxx × Cite Format Result Cite Review PDF Full Text: DOI Backlinks: MO
Pan, Ivan On the untwisting of general de Jonquières and cubo-cubic Cremona transformations of \(\mathbb P^{3}\). (English) Zbl 1270.14005 Beitr. Algebra Geom. 53, No. 1, 181-201 (2012). Reviewer: Emilia Mezzetti (Trieste) MSC: 14E07 14E30 × Cite Format Result Cite Review PDF Full Text: DOI
Dolgachev, Igor V. Cremona special sets of points in products of projective spaces. (English) Zbl 1227.14020 Ebeling, Wolfgang (ed.) et al., Complex and differential geometry. Conference held at Leibniz Universität Hannover, Germany, September 14–18, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-20299-5/hbk; 978-3-642-20300-8/ebook). Springer Proceedings in Mathematics 8, 115-134 (2011). MSC: 14E07 14N05 11H55 × Cite Format Result Cite Review PDF Full Text: DOI
Blanc, Jérémy Elements and cyclic subgroups of finite order of the Cremona group. (English) Zbl 1213.14029 Comment. Math. Helv. 86, No. 2, 469-497 (2011). Reviewer: Atanas Iliev (Seoul) MSC: 14E07 20E45 20G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Déserti, Julie Some properties of birational transformations of the complex projective plane, a history of S. (Quelques propriétés des transformations birationnelles du plan projectif complexe, une histoire pour S.) (French) Zbl 1226.14019 Actes de Séminaire de Théorie Spectrale et Géométrie. Année 2008–2009. St. Martin d’Hères: Université de Grenoble I, Institut Fourier. Séminaire de Théorie Spectrale et Géométrie 27, 45-100 (2009). Reviewer: Jérémy Blanc (Basel) MSC: 14E07 14E05 × Cite Format Result Cite Review PDF Full Text: EuDML
Blanc, Jérémy; Pan, Ivan; Vust, Thierry On birational transformations of pairs in the complex plane. (English) Zbl 1170.14010 Geom. Dedicata 139, 57-73 (2009). Reviewer: Georgi Hristov Georgiev (Shumen) MSC: 14E07 14J26 14H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blanc, Jérémy Linearisation of finite abelian subgroups of the Cremona group of the plane. (English) Zbl 1170.14009 Groups Geom. Dyn. 3, No. 2, 215-266 (2009). Reviewer: Nikolaos Tziolas (Nicosia) MSC: 14E07 14L30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Avritzer, Dan; Gonzalez-Sprinberg, Gerard; Pan, Ivan On Cremona transformations and quadratic complexes. (English) Zbl 1184.14024 Rend. Circ. Mat. Palermo (2) 57, No. 3, 353-375 (2008). Reviewer: Nikolaos Tziolas (Nicosia) MSC: 14E07 14N15 × Cite Format Result Cite Review PDF Full Text: DOI
Hoshi, Akinari; Kang, Ming-Chang A rationality problem of some Cremona transformation. (English) Zbl 1162.14009 Proc. Japan Acad., Ser. A 84, No. 8, 133-137 (2008). Reviewer: Jérémy Blanc (Genève) MSC: 14E07 14E08 13A50 12F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Blanc, Jérémy; Pan, Ivan; Vust, Thierry On a theorem of Castelnuovo. (Sur un théorème de Castelnuovo.) (French) Zbl 1139.14014 Bull. Braz. Math. Soc. (N.S.) 39, No. 1, 61-80 (2008). Reviewer: N. Mohan Kumar (St. Louis) MSC: 14E07 14J26 14H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bruno, Andrea On homaloidal polynomials. (English) Zbl 1133.14015 Mich. Math. J. 55, No. 2, 347-354 (2007). Reviewer: Georgi Hristov Georgiev (Shumen) MSC: 14E07 14E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pan, Ivan On the decomposition subgroup of an irrational curve in the Cremona group of the plane. (Sur le sous-groupe de décomposition d’une courbe irrationnelle dans le groupe de Cremon du Plan.) (French) Zbl 1144.14010 Mich. Math. J. 55, No. 2, 285-298 (2007). Reviewer: Jérémy Blanc (Bernex) MSC: 14E07 14E05 14J26 14H50 × Cite Format Result Cite Review PDF Full Text: DOI
Déserti, Julie On the nilpotent subgroups of the Cremona group. (Sur les sous-groupes nilpotents du groupe de Cremona.) (English) Zbl 1222.14028 Bull. Braz. Math. Soc. (N.S.) 38, No. 3, 377-388 (2007). Reviewer: Jérémy Blanc (Basel) MSC: 14E07 20F18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Inoue, Naoki; Kato, Fumiharu On the geometry of Wiman’s sextic. (English) Zbl 1097.14041 J. Math. Kyoto Univ. 45, No. 4, 743-757 (2005). Reviewer: Pietro De Poi (Trieste) MSC: 14N05 14H50 14H10 14E07 14H20 × Cite Format Result Cite Review PDF Full Text: DOI
Lomelí, Héctor E. Symplectic homogeneous diffeomorphisms, Cremona maps and the jolt representation. (English) Zbl 1098.37052 Nonlinearity 18, No. 3, 1065-1071 (2005). MSC: 37J10 37C05 26C05 14E07 26B10 58C25 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández de Bobadilla, Javier A new geometric proof of Jung’s theorem on factorisation of automorphisms of \(\mathbb{C}^2\). (English) Zbl 1049.14049 Proc. Am. Math. Soc. 133, No. 1, 15-19 (2005). MSC: 14R10 14E07 13M10 × Cite Format Result Cite Review PDF Full Text: DOI
Ciliberto, Ciro; Mella, Massimiliano; Russo, Francesco Varieties with one apparent double point. (English) Zbl 1077.14076 J. Algebr. Geom. 13, No. 3, 475-512 (2004). Reviewer: Emilia Mezzetti (Trieste) MSC: 14N05 14J30 14J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bodnarchuk, Yurij V.; Lavrenyuk, Yaroslav V. Automorphisms of Jonquiear’s type groups over finite fields. (Ukrainian. English summary) Zbl 1073.14563 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2003, No. 4, 9-14 (2003). MSC: 14R10 14E07 × Cite Format Result Cite Review PDF
Gonzalez-Sprinberg, Gérard; Pan, Ivan On the monomial birational maps of the projective space. (English) Zbl 1033.14011 An. Acad. Bras. Ciênc. 75, No. 2, 129-134 (2003). MSC: 14E07 14E05 14N05 × Cite Format Result Cite Review PDF Full Text: DOI
Calabri, Alberto On rational and ruled double planes. (English) Zbl 1172.14329 Ann. Mat. Pura Appl. (4) 181, No. 4, 365-387 (2002). MSC: 14J26 14E07 × Cite Format Result Cite Review PDF Full Text: DOI
Perrin, Nicolas Two components of the boundary of \(\text \textbf{I}_3\). (Deux composantes du bord de \(\text \textbf{I}_3\)). (French) Zbl 1065.14055 Bull. Soc. Math. Fr. 130, No. 4, 537-572 (2002). Reviewer: Olaf Teschke (Berlin) MSC: 14J60 14D20 × Cite Format Result Cite Review PDF Full Text: DOI
Saniga, Metod Quadro-quartic Cremona transformations and four-dimensional pencil-space-times with the reverse signature. (English) Zbl 1033.53020 Chaos Solitons Fractals 13, No. 4, 797-805 (2002). MSC: 53B30 53A20 14E07 × Cite Format Result Cite Review PDF Full Text: DOI
Dimca, Alexandru On polar Cremona transformations. (English) Zbl 1033.14010 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 9, No. 1, 47-54 (2001). MSC: 14E07 × Cite Format Result Cite Review PDF Full Text: EuDML
Russo, Francesco; Simis, Aron On birational maps and Jacobian matrices. (English) Zbl 1036.14005 Compos. Math. 126, No. 3, 335-358 (2001). MSC: 14E07 14E05 13H10 14M05 × Cite Format Result Cite Review PDF Full Text: DOI
Pan, Ivan Les transformations de Cremona stellaires. (The stellar Cremona transformations). (French) Zbl 0966.14009 Proc. Am. Math. Soc. 129, No. 5, 1257-1262 (2001). Reviewer: L.Chiantini (Siena) MSC: 14E07 14N99 14E05 × Cite Format Result Cite Review PDF Full Text: DOI
Campbell, L. Andrew Unipotent Jacobian matrices and univalent maps. (English) Zbl 0989.26007 Chan, Kai Yuen (ed.) et al., Combinatorial and computational algebra. International conference on combinatorial and computational algebra, May 24-29, 1999, Hong Kong, China. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 264, 157-177 (2000). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 26B10 14E07 58C30 × Cite Format Result Cite Review PDF Full Text: arXiv
Tono, Keita Defining equations of certain rational cuspidal curves. I. (English) Zbl 0994.14019 Manuscr. Math. 103, No. 1, 47-62 (2000). Reviewer: Alessandro Gimigliano (Bologna) MSC: 14H20 14E07 14H50 × Cite Format Result Cite Review PDF Full Text: DOI
Gwoździewicz, Janusz A geometry of Pinchuk’s map. (English) Zbl 0957.14041 Bull. Pol. Acad. Sci., Math. 48, No. 1, 69-75 (2000). Reviewer: Tadeusz Krasiński (Łódź) MSC: 14R15 26B10 14E07 × Cite Format Result Cite Review PDF Full Text: arXiv
Pan, Ivan On the multidegree of Cremona transformations. (Sur le multidegré des transformations de Cremona.) (French) Zbl 1011.14003 C. R. Acad. Sci., Paris, Sér. I, Math. 330, No. 4, 297-300 (2000). MSC: 14E07 × Cite Format Result Cite Review PDF Full Text: DOI
Flenner, Hubert; Zaidenberg, Mikhail Rational cuspidal plane curves of type \((d,d-3)\). (English) Zbl 0948.14020 Math. Nachr. 210, 93-110 (2000). Reviewer: C.Cumino (Torino) MSC: 14H20 14H50 14E07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fenske, Torsten Rational 1- and 2-cuspidal plane curves. (English) Zbl 0959.14012 Beitr. Algebra Geom. 40, No. 2, 309-329 (1999). Reviewer: Hubert Flenner (Bochum) MSC: 14H20 14H50 14E07 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Brunella, Marco Minimal models of foliated algebraic surfaces. (English) Zbl 0969.14009 Bull. Soc. Math. Fr. 127, No. 2, 289-305 (1999). MSC: 14E30 37F75 14J26 14E07 32S65 57R50 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML Link
Berceanu, Barbu The topology of polynomial varieties. (English) Zbl 0970.14009 Cossey, John (ed.) et al., Geometric group theory down under. Proceedings of a special year in geometric group theory, Canberra, Australia, July 14-19, 1996. Berlin: de Gruyter. 1-8 (1999). MSC: 14E07 14F35 14J50 20G15 × Cite Format Result Cite Review PDF
Keum, Jonghae Automorphisms of a generic Jacobian Kummer surface. (English) Zbl 0940.14008 Geom. Dedicata 76, No. 2, 177-181 (1999). Reviewer: L.Chiantini (Siena) MSC: 14E07 14J28 14J50 14H40 × Cite Format Result Cite Review PDF Full Text: DOI
Čižmár, J. Birational transformations 1860–1960. (Slovak) Zbl 1072.01507 Bečvář, Jindřich (ed.) et al., Mathematics throughout the ages. I. Prague: Prometheus (ISBN 80-7196-107-8). Děj. Mat. / Hist. Math. 11, 79-98 (1998). Reviewer: Karel Mačák (Liberec) MSC: 01A55 01A60 × Cite Format Result Cite Review PDF
Chamberland, Marc; Meisters, Gary A mountain pass to the Jacobian conjecture. (English) Zbl 0947.14030 Can. Math. Bull. 41, No. 4, 442-451 (1998). Reviewer: G.Pfister (Kaiserslautern) MSC: 14R15 13F20 14E07 58E05 26B10 × Cite Format Result Cite Review PDF Full Text: DOI
Benz, W. Translation equation and some new geometries. (English) Zbl 0912.39009 Publ. Math. Debr. 52, No. 3-4, 299-308 (1998). Reviewer: Zoltán Boros (Debrecen) MSC: 39B12 39B52 51M10 × Cite Format Result Cite Review PDF
Vologodskij, V. N. On factorization of some classic three-dimensional Cremona transformations in the framework of the Sarkisov program. (English. Russian original) Zbl 0926.51025 Mosc. Univ. Math. Bull. 52, No. 3, 30-32 (1997); translation from Vestn. Mosk. Univ., Ser. I 1997, No. 3, 29-31 (1997). Reviewer: A.Yu.Obolenskij (Kyïv) MSC: 51M99 × Cite Format Result Cite Review PDF
Viallet, Claude M. On some rational Coxeter groups. (English) Zbl 0863.20016 Levi, Decio (ed.) et al., Symmetries and integrability of difference equations. Papers from the workshop, May 22–29, 1994, Estérel, Canada. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 9, 377-388 (1996). Reviewer: A.A.Bogush (Minsk) MSC: 20F55 14E07 39B12 81R05 × Cite Format Result Cite Review PDF