Enriques Surfaces Covered by Jacobian Kummer Surfaces
نویسندگان
چکیده
منابع مشابه
Enriques surfaces covered by Jacobian Kummer surfaces
This paper classifies Enriques surfaces whose K3-cover is a fixed Picard-general Jacobian Kummer surface. There are exactly 31 such surfaces. We describe the free involutions which give these Enriques surfaces explicitly. As a biproduct, we show that Aut(X) is generated by elements of order 2, which is an improvement of the theorem of S. Kondo.
متن کاملThe Automorphism Groups of Enriques Surfaces Covered by Symmetric Quartic Surfaces
Let S be the (minimal) Enriques surface obtained from the symmetric quartic surface ( P i<j xixj) 2 = kx1x2x3x4 in P with k 6= 0, 4, 36, by taking quotient of the Cremona action (xi) 7→ (1/xi). The automorphism group of S is a semi-direct 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. The automorphism g...
متن کاملAround real Enriques surfaces
We present a brief overview of the classiication of real Enriques surfaces completed recently and make an attempt to systemize the known clas-siication results for other special types of surfaces. Emphasis is also given to the particular tools used and to the general phenomena discovered; in particular , we prove two new congruence type prohibitions on the Euler characteristic of the real part ...
متن کاملHessian Quartic Surfaces That Are Kummer Surfaces
In 1899, Hutchinson [Hut99] presented a way to obtain a threeparameter family of Hessians of cubic surfaces as blowups of Kummer surfaces. We show that this family consists of those Hessians containing an extra class of conic curves. Based on this, we find the invariant of a cubic surface C in pentahedral form that vanishes if its Hessian is in Hutchinson’s family, and we give an explicit map b...
متن کاملEnriques Surfaces and Analytic Torsion
In a series of works [Bo3-5], Borcherds developed a theory of modular forms over domains of type IV which admits an infinite product expansion. Among such modular forms, Borcherds’s Φ-function ([Bo4]) has an interesting geometric background; It is a modular form on the moduli space of Enriques surfaces characterizing the discriminant locus. In his construction, Φ-function is obtained as the den...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 2009
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000009764