Ends of varieties

On trivial ends of Cayley graph of groups

‎In this paper, first we introduce the end of locally finite graphs as an equivalence class of infinite paths in the graph. Then we mention the ends of finitely generated groups using the Cayley graph. It was proved that the number of ends of groups are not depended on the Cayley graph and that the number of ends in the groups is equal to zero, one, two, or infinity. For ...

On Ends-to-Ends Encryption

In the past few years secure messaging has become mainstream, with over a billion active users of end-to-end encryption protocols through apps such as WhatsApp, Signal, Facebook Messenger, Google Allo, Wire and many more. While these users’ two-party communications now enjoy very strong security guarantees, it turns out that many of these apps provide, without notifying the users, a weaker prop...

Secant Varieties of Toric Varieties

If X is a smooth projective toric variety of dimension n we give explicit conditions on characters of the torus giving an embedding X →֒ Pr that guarantee dimSecX = 2n+ 1. We also give necessary and sufficient conditions for a general point of SecX to lie on a unique secant line when X is embedded into Pr using a complete linear system. For X of dimension 2 and 3 we give formulas for deg SecX in...

which case of gastroenteritis ends in convulsion?

objective gastroenteritis has a diverse etiology; many pathogens can cause this condition. of the extraintestinal manifestations, one is convulsions, which may be  attributable to fever, type of bacteria, or electrolyte imbalance. to assess the risk of occurrence of convulsions, in this study we investigated the association between the paraclinical and clinical findings of children with gastroe...

The Theory of Ends