CODE 66453 ACADEMIC YEAR 2016/2017 CREDITS 7 cfu anno 3 MATEMATICA 8760 (L-35) - 7 cfu anno 1 MATEMATICA 9011 (LM-40) - SCIENTIFIC DISCIPLINARY SECTOR MAT/03 LANGUAGE Italiano TEACHING LOCATION SEMESTER 2° Semester TEACHING MATERIALS AULAWEB OVERVIEW Language: Italian AIMS AND CONTENT TEACHING METHODS Teaching style: In presence SYLLABUS/CONTENT Affine and projective algebraic sets. Non-singular points and tangent space. Dimension and degree of a projective variety. Hypersurfaces in projective space. Linear systems of hypersurfaces. The Jacobian group of a linear system on a line. Algebraic correspondences between lines. Birational plane model of a projective curve. Plane curves. Cusps, flexes and ordinary multiple points. Bézout’s theorem. The genus of a plane curve (according to Riemann). Rational curves. Rational normal curves. Elliptic normal curves. Plane cubic curves. Modulus of a plane cubic. Structure of abelian group on such curves. Modulus of a plane cubic. Classification of degree 3 projective curves. TEACHERS AND EXAM BOARD MAURO CARLO BELTRAMETTI Exam Board MAURO CARLO BELTRAMETTI (President) ETTORE GIOVANNI CARLETTI MATTEO PENEGINI LESSONS LESSONS START February 27, 2017 Class schedule BASIC PROJECTIVE ALGEBRAIC GEOMETRY EXAMS Exam schedule Data appello Orario Luogo Degree type Note 05/06/2017 09:00 GENOVA Orale 23/06/2017 09:00 GENOVA Orale 12/07/2017 09:00 GENOVA Orale 04/09/2017 09:00 GENOVA Orale
