Hotaka (穂高町, Hotaka-machi) was a town located in Minamiazumi District, Nagano Prefecture, Japan.
As of 2003, the town had an estimated population of 31,980 and a density of 219.91 persons per km². The total area was 145.42 km².
On October 1, 2005, Hotaka, along with the town of Akashina (from Higashichikuma District), the town of Toyoshina, and the villages of Horigane and Misato (all from Minamiazumi District), was merged to create the city of Azumino.
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Matsumoto is a city located in Nagano Prefecture, Japan. Matsumoto is designated as a core city since 1 April 2021. As of 1 March 2019, the city had a population of 239,466 in 105,207 households and a population density of 240 persons per km2. The total area of the city is 978.47 square kilometres (377.79 sq mi).
Sangō is a town located in Ikoma District, Nara Prefecture, Japan.
Akashina was a town located in Higashichikuma District, Nagano Prefecture, Japan.
Higashichikuma is a district located in Nagano Prefecture, Japan.
Toyoshina was a town located in Minamiazumi District, Nagano Prefecture, Japan.
Azumi was a village located in Minamiazumi District, Nagano Prefecture, Japan.
Azusagawa was a village located in Minamiazumi District, Nagano Prefecture, Japan.
Misato was a village located in Minamiazumi District, Nagano Prefecture, Japan.
Horigane was a village located in Minamiazumi District, Nagano Prefecture, Japan.
Minamiazumi was a district located in Nagano Prefecture, Japan.
Katashina is a village located in Gunma Prefecture, Japan. As of 31 October 2020, the village had an estimated population of 4,314 in 1694 households, and a population density of 11 persons per km². The total area of the village is 391.76 square kilometres (151.26 sq mi). m². Much of the village is within the borders of Oze National Park.
Azumino is a city located in Nagano Prefecture, Japan. As of 1 March 2019, the city had an estimated population of 97,761 in 39744 households. and a population density of 290 persons per km2. Its total area is 331.78 square kilometres (128.10 sq mi).
National Route 19 is a national highway connecting Nagoya and Nagano in Japan.
Ueda Station is a railway station in the city of Ueda, Nagano, Japan, jointly operated by the East Japan Railway Company, the third-sector operator Shinano Railway, and the private railway operator Ueda Electric Railway.
Shio no Michi was an old kaidō, or road, in ancient Japan and was used to transport salt from the ocean to the inland central Honshū. In the Middle Ages, salt was brought both from the Sea of Japan and the Pacific Ocean to Shinano Province for processing. The road leading from the Sea of Japan to Shinano Province was called the Chikuni Kaidō (千国街道), whereas the road leading from the Pacific Ocean was called the Sanshū Kaidō (三州街道).
Hotaka Station is a train station in the city of Azumino, Nagano Prefecture, Japan, operated by East Japan Railway Company.
Rokuzan Ogiwara was a sculptor active in Meiji period Japan. His real name was Morie Ogiwara. He is regarded as one of the pioneers of modern western-style bronze sculpture in Japan.
The Azumi Basin is part of the Matsumoto Basin in Nagano Prefecture, Japan. It covers approximately the municipalities of Azumino, Ikeda and Matsukawa, and some parts of Matsumoto and Ōmachi. Formerly called Azumidaira, it stretches from the west banks of the Azusa and Sai rivers to the foot of the Hida Mountains in the west, and towards the southernmost watershed of the Takase River. It is known for its natural environment, museums and art galleries.
In mathematics, Hodge–Arakelov theory of elliptic curves is an analogue of classical and p-adic Hodge theory for elliptic curves carried out in the framework of Arakelov theory. It was introduced by Mochizuki (1999). It bears the name of two mathematicians, Suren Arakelov and W. V. D. Hodge. The main comparison in his theory remains unpublished as of 2019.
