A note on projective normality

Normality, Projective Normality and Egz Theorem

In this note, we prove that the projective normality of (P(V )/G,L), the celebrated theorem of Erdös-Ginzburg-Ziv and normality of an affine semigroup are all equivalent, where V is a finite dimensional representation of a finite cyclic group G over C and L is the descent of the line bundle O(1)⊗|G|.

A Note on Projective Graphs

Projective Normality of Abelian Varieties

We show that ample line bundles L on a g-dimensional simple abelian variety A, satisfying h0(A,L) > 2g · g!, give projective normal embeddings, for all g ≥ 1.

A Note on Karmarkar's Projective Transformation

This note corrects a certain inaccuracy in the discussion of the projective transformation employed by Karmarkar in the reduction of a general linear programming to the form required for his algorithm In his famous paper Karmarkar proposes on page Step a reduction of a general problem to one on a subset of the unit simplex as follows Given a linear programming problemof the form Minimize cx sub...

Note on Normality in Qijasi-groups

An interesting problem in the theory of quasi-groups is to determine how strong an associative law must be assumed in order to obtain a theory of normal subquasi-groups similar to that of ordinary groups. The properties of normal subgroups which it is desirable to retain in the non-associative case are, first, that they form a Dedekind structure, and second, that each one gives rise to a quotie...