Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/144240
Title: On the classification of Togliatti systems
Author: Miró-Roig, Rosa M. (Rosa Maria)
Salat Moltó, Martí
Keywords: Geometria diferencial
Equacions en derivades parcials
Differential geometry
Partial differential equations
Issue Date: 2018
Publisher: Taylor and Francis
Abstract: In [MeMR], Mezzetti and Mir\'{o}-Roig proved that the minimal number of generators μ(I) of a minimal (smooth) monomial Togliatti system I⊂k[x0,¿,xn] satisfies 2n+1≤μ(I)≤(n+d−1n−1) and they classify all smooth minimal monomial Togliatti systems I⊂k[x0,¿,xn] with 2n+1≤μ(I)≤2n+2. In this paper, we address the first open case. We classify all smooth monomial Togliatti systems I⊂k[x0,¿,xn] of forms of degree d≥4 with μ(I)=2n+3 and n≥2 and all monomial Togliatti systems I⊂k[x0,x1,x2] of forms of degree d≥6 with μ(I)=7.
Note: Versió postprint del document publicat a: https://doi.org/10.1080/00927872.2017.1388813
It is part of: Communications in Algebra, 2018, vol. 46, num. 6, p. 2459-2475
URI: http://hdl.handle.net/2445/144240
Related resource: https://doi.org/10.1080/00927872.2017.1388813
ISSN: 0092-7872
Appears in Collections:Articles publicats en revistes (Matemàtiques i Informàtica)

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