Monomial transformations of the projective space
Debarre, Olivier · Lass, Bodo
Original · EN
We prove that, over any field, the dimension of the indeterminacy locus of a rational transformation f of Pⁿ which is defined by monomials of the same degree d with no common factors is at least (n-2)/2, provided that the degree of f as a map is not divisible by d. This implies upper bounds on the multidegree of f.
English translation
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