AbstractWe show that a polyhedral cone Γ in Rn with apex at 0 can be brought to the first quadrant by a finite sequence of monomial blowing-ups if and only if Γ∩(-R⩾n)={0}. The proof is non-trivially derived from the theorem of Farkas–Minkowski. Then, we apply this theorem to show how the Newton diagrams of the roots of any Weierstraß polynomialP(x,z)=zm+h1(x)zm-1+⋯+hm-1(x)z+hm(x),hi(x)∈k〚x1,…,xn〛[z], are contained in a polyhedral cone of this type
We compute the facets of the effective and movable cones of divisors on the blow-up of P^n at n+3 po...
. Let k be a field. Spivakovsky's theorem on the solution of Hironaka 's polyhedral game ...
In this report, we use Fourier analysis and Diophantine analysis to study functions associated to po...
AbstractWe show that a polyhedral cone Γ in Rn with apex at 0 can be brought to the first quadrant b...
AbstractProperties of zero polyhedral cones are studied by making use of Fourier-Motzkin elimination...
One can associate to any bivariate polynomial P (X,Y) its Newton polygon. This is the convex hull of...
AbstractLet k be a field. Spivakovsky's theorem on the solution of Hironaka's polyhedral game has be...
We prove that certain blow-ups of P1 × P2 and P1 × P3 are log Fano and develop a method which we use...
Abstract. Let k be a field. Spivakovsky’s theorem on the solution of Hiron-aka’s polyhedral game has...
AbstractWe consider pencils at infinity V=〈F,Zd〉 in the projective plane P2. There exists a minimal ...
There the combinative cones and polyhedrons are studied. The series of problems of polyhedral combin...
We construct projective toric surfaces whose blow-up at a general point has a non-polyhedral pseudo-...
We compute the facets of the effective and movable cones of divisors on the blow-up of Pn at n + 3 p...
According to the face-spiral conjecture, first made in connection with enumeration of fullerenes, a ...
We construct a characteristic polyhedral for idealistic exponents over arbitrary fields. From this w...
We compute the facets of the effective and movable cones of divisors on the blow-up of P^n at n+3 po...
. Let k be a field. Spivakovsky's theorem on the solution of Hironaka 's polyhedral game ...
In this report, we use Fourier analysis and Diophantine analysis to study functions associated to po...
AbstractWe show that a polyhedral cone Γ in Rn with apex at 0 can be brought to the first quadrant b...
AbstractProperties of zero polyhedral cones are studied by making use of Fourier-Motzkin elimination...
One can associate to any bivariate polynomial P (X,Y) its Newton polygon. This is the convex hull of...
AbstractLet k be a field. Spivakovsky's theorem on the solution of Hironaka's polyhedral game has be...
We prove that certain blow-ups of P1 × P2 and P1 × P3 are log Fano and develop a method which we use...
Abstract. Let k be a field. Spivakovsky’s theorem on the solution of Hiron-aka’s polyhedral game has...
AbstractWe consider pencils at infinity V=〈F,Zd〉 in the projective plane P2. There exists a minimal ...
There the combinative cones and polyhedrons are studied. The series of problems of polyhedral combin...
We construct projective toric surfaces whose blow-up at a general point has a non-polyhedral pseudo-...
We compute the facets of the effective and movable cones of divisors on the blow-up of Pn at n + 3 p...
According to the face-spiral conjecture, first made in connection with enumeration of fullerenes, a ...
We construct a characteristic polyhedral for idealistic exponents over arbitrary fields. From this w...
We compute the facets of the effective and movable cones of divisors on the blow-up of P^n at n+3 po...
. Let k be a field. Spivakovsky's theorem on the solution of Hironaka 's polyhedral game ...
In this report, we use Fourier analysis and Diophantine analysis to study functions associated to po...
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