130142 20241125101152.0 doi 10.14492/hokmj/2020-422 sideral 136448 ART-2023-136448 eng Artal Bartolo, E. Universidad de Zaragoza (orcid)0000-0002-8276-5116 Differential geometry of complex projective plane conics 2023 Access copy available to the general public Unrestricted In this paper we study properties of complex plane projective curves from a geometric point of view. We focus our attention on properties of conics. We find that Gauss curvature determines a conic up to a hermitian transformation preserving the Fubini-Study metric of the complex projective plane and we discuss some other geometric properties of the conics. Finally we study the deformation of smooth conics onto pair of lines and the classification of cubics up to hermitian transformations. info:eu-repo/grantAgreement/ES/DGA/E22-20R info:eu-repo/grantAgreement/ES/MICINN/MTM2016-76868-C2-2-P info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C31/AEI/10.13039/501100011033 info:eu-repo/grantAgreement/ES/MICINN/PID2020-118425GB-I00 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.6 2023 MATHEMATICS 264 / 490 = 0.539 2023 Q3 T2 0.246 2023 Mathematics (miscellaneous) 2023 Q3 1.0 2023 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Morón-Sanz, R. 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 52, 1 (2023), 23-40 Hokkaido math. j. HOKKAIDO MATHEMATICAL JOURNAL 0385-4035 480246 http://zaguan.unizar.es/record/130142/files/texto_completo.pdf Postprint 1676316 http://zaguan.unizar.es/record/130142/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:130142 articulos driver 2024-11-22-12:07:14 ARTICLE