Iterated blowups of two-dimensional regular local rings
Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 281-288.
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We explore sequences of iterated blowups of two-dimensional regular local rings. Classical results of Zariski and Abhyankar show that the directed union of blowups of this type is a valuation ring.We show that the value group of such a valuation ring is determined by the irrational number γ that is the value of an infinite continued fraction associated to the sequence of blowups.

Publié le :
DOI : 10.4171/rsmup/70
Classification : 13, 00 
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     author = {Wiegand, Roger and Wiegand, Sylvia},
     title = {Iterated blowups of two-dimensional regular local rings},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {281--288},
     volume = {144},
     year = {2020},
     doi = {10.4171/rsmup/70},
     mrnumber = {4186460},
     zbl = {1474.13010},
     language = {en},
     url = {http://www.numdam.org/articles/10.4171/rsmup/70/}
}
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Wiegand, Roger; Wiegand, Sylvia. Iterated blowups of two-dimensional regular local rings. Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 281-288. doi : 10.4171/rsmup/70. http://www.numdam.org/articles/10.4171/rsmup/70/

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