Informazioni di Geometria Algebrica

Dipartimento: Scienze Matematiche, Fisiche E Naturali
Settore Ministeriale: MAT/03
Codice di verbalizzazione: 8065716
Metodi di insegnamento: Frontale
Metodi di valutazione: Orale
Prerequisiti: Geometria 1,2,3,4, Algebra 1,2 (se Algebra commutativa meglio)
Obiettivi: Our general scope is to present fundamental concepts related to the problem of solvings systems of polynomial equations. Algebraic Geometry studies these solutions from a global point of view, through the theory of Algebraic Varieties. We will define this important class of varieties and then we will study some of their most important properties and discuss key examples, which are fundamental for the whole theory. Learning aims are to give to students the following skills: 1) working knowledge of basic elements of affine/projective geometry, of homomorphisms, isomorphisms and rational maps among algebraic varieties; 2) familiarity with explicit examples, including Veronese and Segre varieties, quadric surfaces, plane curves, etc; 3) if time permits, familiarity with the rich geometry of the canonical curve in terms of special linear series.
Ricevimento: Anno accademico 2023-2024: inviare messaggio su teams qualche giorno prima per accordare appuntamento

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