In this paper we investigate the image of the l-adic representation attached to the Tate module of an abelian variety over a number field with endomorphism algebra of type I or II in the Albert classification. We compute the image explicitly and verify the classical conjectures of Mumford-Tate, Hodge, Lang and Tate, for a large family of abelian varieties of type I and II. In addition, for this...

In this paper it is shown that any regular critical point of the Mumford-Shah functional, with positive definite second variation, is an isolated local minimizer with respect to competitors which are sufficiently close in the L1 -topology.

<p><strong>Abstract</strong></p><p>It can be observed that there was a quantitative increase in the films of female directors Turkey 2000s and these started to create their own cinematic language. These produce by being influenced patriarchal society they live deal with problems women experience society.</p>

the bagratian clan was the oldest and the most legitimate in georgia and safavid was confident about them. during the reign of shah safi, the credit of bagrati clan was increased due to their valuable service to the monarch and fining his reign. in the beginning of the accession, he wanted set up the tent of her reign based on the new columb and overthrow old elements that was independent on sh...