534SM - ADVANCED GEOMETRY 3 2020/21
Schema della sezione
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Prof.ssa Emilia Mezzetti
mezzette@units.it
Ufficio: ed. H2bis, via Valerio 12/1
stanza 227, II piano, tel. 040 5582650
Orario delle lezioni:
lunedì 9-11, aula 3B, ed. H2bis
mercoledì 10.30-12.30, giovedì 8.30-10.30, aula 3, ed. C9.
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Graded rings and homogeneous ideals. Projective varieties. Hypersurfaces.
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Intersection of a hypersurface with a line. Product of affine spaces and comparison between topologies. The Segre map and the Segre quadric P1xP1
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Embedding of the affine space in the projective space. Ideal of a subset of the affine or projective space and its properties.
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Statement of the Hilbert Nullstellensatz. Algebraic independence, trascendence bases. Integral elements over a ring.
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Projections, standard quadratic transformation, rational varieties.
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