The automorphism groups of enriques surfaces covered by symmetric quartic surfaces

S. Mukai; H. Ohashi

doi:10.1007/9781107416000.017

The automorphism groups of enriques surfaces covered by symmetric quartic surfaces

S. Mukai, H. Ohashi

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

8 Citations (Scopus)

Abstract

Let S be the (minimal) Enriques surface obtained from the symmetric quartic surface (∑_i<_jx_ix_j)² = kx₁x₂x₃x₄ in P³ with k ≠ 0, 4, 36 by taking a quotient of the Cremona action (x_i) → (1/x_i). The automorphism group of S is a semidirect product of a free product F of four involutions and the symmetric group S4. Up to action of F, there are exactly 29 elliptic pencils on S.Dedicated to Prof.

Original language	English
Title of host publication	Recent Advances in Algebraic Geometry
Subtitle of host publication	A Volume in Honor of Rob Lazarsfeld's 60th Birthday
Publisher	Cambridge University Press
Pages	307-320
Number of pages	14
ISBN (Electronic)	9781107416000
ISBN (Print)	9781107647558
DOIs	https://doi.org/10.1007/9781107416000.017
Publication status	Published - 1 Jan 2015

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The automorphism groups of enriques surfaces covered by symmetric quartic surfaces

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