* Merkel's CDU enjoys rare win in most populous state
* Bunds outperform euro zone peers
* Austria on course for snap election
* Oil prices jump 3 pct, pressure broader bond markets
* Euro zone periphery govt bond yields tmsnrt.rs/2ii2Bqr (Updates prices)
By Dhara Ranasinghe
LONDON, May 15 (Reuters) - German bonds had a slight edge over euro zone peers on Monday after Chancellor Angela Merkel's conservatives defeated the ruling Social Democrats in a key state election, lifting their hopes of retaining power in September's national vote.
Euro zone government bond were broadly under pressure as a jump in oil prices and a Chinese plan to ramp up infrastructure spending stoked inflation expectations and pushed up yields.
But German debt held firmer than most, drawing support from Sunday's state election in Germany's most populous state of North Rhine-Westphalia - home to one in five German voters and often an indicator of national electoral trends.
According to projections, Merkel's Christian Democrats (CDU) won 33 percent of the vote, up from 26.3 percent in 2012. The third win for the conservatives in state elections since the end of March over rival Social Democrats (SPD) has boosted Merkel's chances of securing a fourth term as chancellor later this year.
Merkel's more fiscally conservative stance bodes well for German bonds, analysts said.
"We're still a long way from national elections, but the impression we've had from recent polls is that support for the CDU is rising and support for the SPD is weakening," said Antoine Bouvet, rates strategist at Mizuho.
The SPD had surged ahead of the CDU in the polls after it named former European Parliament President Martin Schulz as leader and candidate for chancellor in January. But his impact has faded in recent months.
"Quite importantly for Bunds, Merkel is seen as a lot less likely to give in on subjects such as a euro zone budget and domestically, she is also less keen on using the budget surplus to kick start the economy," said Bouvet.
Germany's 10-year Bund yield stood at 0.42 percent , up around 2 basis points on the day and tucked well below seven-week highs hit last week at 0.46 percent. Equivalents in France, Austria and Ireland were up as much as 4 basis points on the day.
Political stability in Germany contrasted with the prospect of uncertainty in neighbouring Austria, where a snap election is on the cards.
On Sunday, Austria's foreign minister took over as leader of the country's main conservative party and called for a snap parliamentary election that centre-left Chancellor Christian Kern admitted he could not prevent.
An early election would give the far-right Freedom Party, currently leading in opinion polls, a good chance of entering national government less than a year after its candidate lost a presidential runoff.
That could renew concerns about the grip of anti-establishment parties in Europe just as the election of centrist Emmanuel Macron as France's president bought some relief to markets.
Macron appointed a conservative prime minister on Monday in a move to broaden his political appeal and weaken his opponents before a parliamentary election in June.
"We've had some noise in recent days in Austria, which could become the next political theme in the euro area," said Commerzbank rates strategist Rainer Guntermann.
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Reporting by Dhara Ranasinghe; Editing by Alison Williams