A surface of maximal canonical degree

On the Maximal Degree of the K-Step Obrechkoff’s Method

Canonical Formalism for Lagrangians of Maximal Nonlocality

A canonical formalism for Lagrangians of maximal nonlocality is established. The method is based on the familiar Legendre transformation to a new function which can be derived from the maximally nonlocal Lagrangian. The corresponding canonical equations are derived through the standard procedure in local theory and appear much like those local ones, though the implication of the equations is la...

Strict Partitions of Maximal Projective Degree

The projective degrees of strict partitions of n were computed for all n ≤ 100 and the partitions with maximal projective degree were found for each n. It was observed that maximizing partitions for successive values of n “lie close to each other” in a certain sense. Conjecturing that this holds for larger values of n, the partitions of maximal degree were computed for all n ≤ 220. The results ...

Surfaces of Low Degree Containing a Canonical Curve

In this paper, we generalize a classical theorem of del Pezzo [D] and Fujita [F1] and a recent theorem of Casnati [Ca] about low degree surfaces containing a canonical curve Ccan. Every canonical curve of genus g is contained in a surface of degree less than or equal to 2g− 3. We study canonical curves that are contained in a surface of degree smaller than 2g−3. Fix an integer κ ≥ −1. Our main ...

on the maximal degree of the k-step obrechkoff’s method