000130142 001__ 130142 000130142 005__ 20241125101152.0 000130142 0247_ $$2doi$$a10.14492/hokmj/2020-422 000130142 0248_ $$2sideral$$a136448 000130142 037__ $$aART-2023-136448 000130142 041__ $$aeng 000130142 100__ $$0(orcid)0000-0002-8276-5116$$aArtal Bartolo, E.$$uUniversidad de Zaragoza 000130142 245__ $$aDifferential geometry of complex projective plane conics 000130142 260__ $$c2023 000130142 5060_ $$aAccess copy available to the general public$$fUnrestricted 000130142 5203_ $$aIn 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. 000130142 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-20R$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2016-76868-C2-2-P$$9info:eu-repo/grantAgreement/ES/MICINN/PID2020-114750GB-C31/AEI/10.13039/501100011033$$9info:eu-repo/grantAgreement/ES/MICINN/PID2020-118425GB-I00 000130142 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000130142 590__ $$a0.6$$b2023 000130142 592__ $$a0.246$$b2023 000130142 591__ $$aMATHEMATICS$$b264 / 490 = 0.539$$c2023$$dQ3$$eT2 000130142 593__ $$aMathematics (miscellaneous)$$c2023$$dQ3 000130142 594__ $$a1.0$$b2023 000130142 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000130142 700__ $$aMorón-Sanz, R. 000130142 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología 000130142 773__ $$g52, 1 (2023), 23-40$$pHokkaido math. j.$$tHOKKAIDO MATHEMATICAL JOURNAL$$x0385-4035 000130142 8564_ $$s480246$$uhttps://zaguan.unizar.es/record/130142/files/texto_completo.pdf$$yPostprint 000130142 8564_ $$s1676316$$uhttps://zaguan.unizar.es/record/130142/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000130142 909CO $$ooai:zaguan.unizar.es:130142$$particulos$$pdriver 000130142 951__ $$a2024-11-22-12:07:14 000130142 980__ $$aARTICLE