In this paper, we study finite 0-dimensional schemes in product of multiprojective spaces and their ideals. In particular, we describe the set of generators of the ideal defining a 0-dimensional scheme in the case P-1 x ... x P-1 and in the case P-n1 x ... x P-nk with n(i) is an element of {1,2} for all i. We also check very ampleness for zero-dimensional schemes of general points in the multiprojective spaces.

Finite 0-dimensional multiprojective schemes and their ideals

Guardo E.
2022

Abstract

In this paper, we study finite 0-dimensional schemes in product of multiprojective spaces and their ideals. In particular, we describe the set of generators of the ideal defining a 0-dimensional scheme in the case P-1 x ... x P-1 and in the case P-n1 x ... x P-nk with n(i) is an element of {1,2} for all i. We also check very ampleness for zero-dimensional schemes of general points in the multiprojective spaces.
Multiprojective space
multigraded rings
0-dimensional schemes
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/539899
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