Year: 2026
Type: article
Abstract: The aim of this paper is to provide an explicit basis of the miniversal deformation of a monomial curve defined by a free semigroup—these curves make up a notable family $$\mathscr {C}$$ C of complete intersection monomial curves. First, we dispense a general decomposition result of a basis B of the miniversal deformation of any complete intersection monomial curve. As a consequence, we explicitly calculate B in the particular case of a monomial curve defined from a free semigroup. This direct computation yields some estimates for the dimension of the moduli space of the family $$\mathscr {C}$$ C .
Source: Revista Matemática Complutense
Institutions: Universidad de Valladolid, Universitat Jaume I
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
Awards: G1462035462, G1561925909, G1622782223, G1953074864, G2262748287, G2317074901, G2904032687, G3480869486, G425668148, G451917667, G4526231891, G4583691590, G5080475149, G5404395142, G5635532810, G567365627, G590205457, G5967599077, G597010865, G6618235823, G6731524417, G675437911, G6998574964, G7084143925, G7167251299, G7413739749, G7805626310, G7863371703, G81526208, G8497050386, G8791878215
OpenAlex ID: W7126030011