Name of multistoried temple with eaves that turn up the corner?

You're describing a pagoda, a type of multi-storied temple with distinctive rooflines that feature eaves curving upward at the corners.

Pagodas are most commonly found in East and Southeast Asian cultures, with variations in design and construction across different regions. Some famous examples include:

* The Great Pagoda of Shwedagon in Yangon, Myanmar

* The Kiyomizu-dera Temple in Kyoto, Japan

* The Temple of Heaven in Beijing, China

Let me know if you have any other questions about pagodas!