MSCI's broadest index of Asia-Pacific shares outside Japan inched down 0.1%. Japan's Nikkei stock average rose 0.3% on the back of a weaker yen.
Share markets in London, Paris and Frankfurt are closed for the Easter holiday.
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Chinese shares slipped on concerns towards potential new listings diluting the market after the securities regulator released draft prospectuses for new companies planning to list.
"The way the market sees the IPO news is that new shares will end up diluting capital, and what's more, this news is rather sudden," said Tian Weidong, head of research in Kaiyuan Securities in the city of Xi'an.
The CSI300 index of the largest Shanghai and Shenzhen A-share listings was down 0.4%, while the Shanghai Composite Index lost 0.3%.
The dollar edged up to a two-week high against the yen after data showed Japan posted its largest-ever trade deficit in the fiscal year through March 2014 due to a soaring energy import bill.
The greenback rose to 102.71 yen, its highest point since April 8, and remained well bid after upbeat US factory data and jobless claims late last week.
Analysts said signs that the US economy had shaken off disruptions caused by harsh winter weather would help the US currency in the longer run.
"With momentum building behind the US industrial cycle, tentative signs of wage-based pressure building, and further labour market improvements likely, falling US rates are unlikely to continue to be a major driver of dollar weakness," strategists at Barclays said in a note to clients.
The encouraging US data saw the 10-year US Treasury note yield spike on Friday to a 10-day peak of 2.726%, pulling back sharply from a six-week trough of 2.596% hit earlier last week.
UKRAINE TENSIONS
Support for the safe-haven Japanese currency also ebbed last week after the United States, Russia, Ukraine and the European Union called for an immediate halt to violence.
However, tensions in Ukraine are expected to underpin the yen in the short term, traders said.
At least three people were killed in a gunfight in the early hours of Sunday near a Ukrainian city controlled by pro-Russian separatists, shaking an already fragile international accord that was designed to avert a wider conflict.
The euro was at $1.3818, little changed from last week. It hit a 2-1/2-year high near $1.40 in the middle of March, but has since gone on the defensive after a number of European Central Bank officials expressed concerns about the common currency's strength.
In the commodity markets, gold initially edged higher as the Ukraine tensions sparked some safe-haven buying but fell to a 2-1/2-week low, hurt by sharp outflows from the world's biggest bullion-backed exchange-traded fund (ETF) and a stronger dollar.
Spot gold fell to $1,281.40 an ounce, lowest since April 3, amid thin trading volumes as Hong Kong and London were closed on Monday for Easter.
Geopolitical risks stemming from the former Soviet republic supported oil. Brent crude traded at $109.10 per barrel, near a six-week peak of $110.36 hit last week.
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