1 citations · 1 across the 3 of their papers we have counts for
4 papers
An order-reversing embedding of Turing degrees into Arthur-Nimue-Merlin degrees
Jean Abou Samra, David Alexander Madore
The Arthur-Nimue-Merlin degrees are a generalization of the Turing degrees introduced by Kihara as a tangible description of the partially ordered set of Lawvere-Tierney topologies…
Anticanonical codes from del Pezzo surfaces with Picard rank one
Régis Blache, Alain Couvreur, Emmanuel Hallouin +4
We construct algebraic geometric codes from del Pezzo surfaces and focus on the ones having Picard rank one and the codes associated to the anticanonical class. We give explicit co…
The Hadwiger-Nelson problem over certain fields
David A. Madore
We compute the Hadwiger-Nelson numbers for certain number fields , that is, the smallest number of colors required to color the points in the plane with coordinates in~…
Surfaces de del Pezzo sans point rationnel sur un corps de dimension cohomologique un
Jean-Louis Colliot-Thelene, David A. Madore
For each integer d=2,3,4, there exists a field F with cohomological dimension 1 and a del Pezzo surface of degree d over F having no rational point. Proofs use the theorem of Merku…