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    • The existence is proved of two new families of sextic threefolds in P^5, which are not quadratically normal. These threefolds arise naturally in the realm of first order congruences of lines as focal loci and in the study of the completely exceptional Monge–Ampère equations. One of these families comes from a smooth congruence of multidegree (1, 3, 3) which is a smooth Fano fourfold of index two and genus 9.


    Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11368/1705653

    Titolo: Congruences of lines in P^5, quadratic normality, and completely exceptional Monge-Ampère equations
    Autori interni: MEZZETTI, EMILIA
    Data di pubblicazione: 2008
    Rivista: GEOMETRIAE DEDICATA  
    Abstract: The existence is proved of two new families of sextic threefolds in P^5, which are not quadratically normal. These threefolds arise naturally in the realm of first order congruences of lines as focal loci and in the study of the completely exceptional Monge–Ampère equations. One of these families comes from a smooth congruence of multidegree (1, 3, 3) which is a smooth Fano fourfold of index two and genus 9.
    Handle: http://hdl.handle.net/11368/1705653
    Digital Object Identifier (DOI): 10.1007/s10711-007-9228-7
    URL: http://www.springerlink.com/content/d7358032652jp040/
    Appare nelle tipologie:1.1 Articolo in Rivista

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