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JSC
2008
56views more  JSC 2008»
13 years 11 months ago
Indispensable monomials of toric ideals and Markov bases
Extending the notion of indispensable binomials of a toric ideal ((14), (7)), we define indispensable monomials of a toric ideal and establish some of their properties. They are u...
Satoshi Aoki, Akimichi Takemura, Ruriko Yoshida
JSC
2008
55views more  JSC 2008»
13 years 11 months ago
Algorithms for a class of infinite permutation groups
Motivated by the famous 3n + 1 conjecture, we call a mapping from Z to Z residue-class-wise affine if there is a positive integer m such that it is affine on residue classes (mod m...
Stefan Kohl
JSC
2008
85views more  JSC 2008»
13 years 11 months ago
Descent via isogeny on elliptic curves with large rational torsion subgroups
We outline PARI programs which assist with various algorithms related to descent via isogeny on elliptic curves. We describe, in this context, variations of standard inequalities w...
E. Victor Flynn, C. Grattoni
JSC
2008
40views more  JSC 2008»
13 years 11 months ago
Stable border bases for ideals of points
John Abbott, Claudia Fassino, Maria-Laura Torrente
JSC
2008
58views more  JSC 2008»
13 years 11 months ago
A Groebner basis approach to solve a Conjecture of Nowicki
Let k be a field of characteristic zero, n any positive integer and let n be the derivation n i=1 Xi Yi of the polynomial ring k[X1, . . . , Xn, Y1, . . . , Yn] in 2n variables o...
Joseph Khoury
JSC
2008
73views more  JSC 2008»
13 years 11 months ago
Standard bases in K
In this paper we study standard bases for submodules of K[[t1, . . . , tm]][x1, . . . , xn]s respectively of their localisation with respect to a t-local monomial ordering. The mai...
Thomas Markwig