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DTSTART;TZID=Europe/Rome:20190703T143000
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DTSTAMP:20201029T105446Z
CREATED:20201029
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SUMMARY:Quasismooth hypersurfaces in toric varieties
DESCRIPTION:Paola Comparin (Universidad de La Frontera, Temuco)\nAula Beltrami – Mercoledì 3 Luglio 2019 h.14:30\n \nAbstract. According to Cox’s construction, any normal projective toric variety can be described as U//G, where U is an open subset in an affine space A^r and G an abelian group. Let Y be a hypersurface in X, defined as the zero set of a homogeneous polynomial in the Cox ring of X, with general coefficients. We call Y quasismooth if the intersection of its singular locus with U is empty, or equivalently, if the singular points of Y are in the irrelevant locus of X. In a joint work with M. Artebani and R. Guilbot, we study quasismoothness for hypersurfaces in toric variety and we give a characterization of it using combinatorial properties of the Newton polytope of the hypersurface, as well as relations with mirror constructions.\n
URL:https://matematica.unipv.it/events/quasismooth-hypersurfaces-in-toric-varieties/
CATEGORIES:Seminari di algebra e geometria
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