Lectures on Geometry

Lucian Silvestru Bădescu (deceased): Graduation from University of Bucharest, Department of Mathematics, (1967), Ph. D in Mathematics, University of Bucharest (1971) with the thesis “ Rational contractions of algebraic varieties”.  Permanent position: Full professor at University of Bucharest, Department of Mathematics, until 2002, full profesor at Università degli Studi di Genova, Dipartimento di Matematica, until 2014. Field of interest: Algebric Geometry (singularities, hyperplan section and classification of projective varieties, deformation theory of singularities, arithmetic rang of projective submanifolds, algebraic surfaces, projective and formal geometry).Ettore Carletti obtained a degree in Mathematics from the University of Genoa in 1976; he earned his Diploma di Perfezionamento in 1983. He has been a researcher in Algebra and Geometry at the University of Genoa from 1985 until 2018 when he retired. His main research focus has been zeta functions in number theory and geometry.

• 1 Linear Algebra.- 2 Bilinear and quadratic forms.- 3 Affine Spaces.- 4 Euclidean Spaces.- 5 Affine hyperquadrics.- 6 Projective Spaces.- 7 Desargues' Axiom.- 8 General Linear Projective Automorphisms.- 9 Affine Geometry and Projective Geometry.- 10 Projective hyperquadrics.- 11 Bezout's Theorem for Curves of P^2(K).- 12 Absolute plane geometry.- 13 Cayley-Klein Geometries