Translator Disclaimer
2017 Isomorphic Quartic K3 Surfaces in the View of Cremona and Projective Transformations
Keiji Oguiso
Taiwanese J. Math. 21(3): 671-688 (2017). DOI: 10.11650/tjm/7833

Abstract

We show that there is a pair of smooth complex quartic K3 surfaces $S_1$ and $S_2$ in $\mathbb{P}^3$ such that $S_1$ and $S_2$ are isomorphic as abstract varieties but not Cremona isomorphic. We also show, in a geometrically explicit way, that there is a pair of smooth complex quartic K3 surfaces $S_1$ and $S_2$ in $\mathbb{P}^3$ such that $S_1$ and $S_2$ are Cremona isomorphic, but not projectively isomorphic. This work is much motivated by several e-mails from Professors Tuyen Truong and János Kollár.

Citation

Download Citation

Keiji Oguiso. "Isomorphic Quartic K3 Surfaces in the View of Cremona and Projective Transformations." Taiwanese J. Math. 21 (3) 671 - 688, 2017. https://doi.org/10.11650/tjm/7833

Information

Published: 2017
First available in Project Euclid: 1 July 2017

zbMATH: 06871338
MathSciNet: MR3661387
Digital Object Identifier: 10.11650/tjm/7833

Subjects:
Primary: 14J28, 14J50

Rights: Copyright © 2017 The Mathematical Society of the Republic of China

JOURNAL ARTICLE
18 PAGES


SHARE
Vol.21 • No. 3 • 2017
Back to Top