Addendum to “Fake projective planes” Invent. Math. 168, 321–370 (2007)
نویسندگان
چکیده
منابع مشابه
Fake Projective Planes
1.1. A fake projective plane is a smooth compact complex surface which is not the complex projective plane but has the same Betti numbers as the complex projective plane. Such a surface is known to be projective algebraic and it is the quotient of the (open) unit ball B in C (B is the symmetric space of PU(2, 1)) by a torsion-free cocompact discrete subgroup of PU(2, 1) whose Euler-Poincaré cha...
متن کاملQuotients of Fake Projective Planes
Recently, Prasad and Yeung classified all possible fundamental groups of fake projective planes. According to their result, many fake projective planes admit a nontrivial group of automorphisms, and in that case it is isomorphic to Z/3Z, Z/7Z, 7 : 3, or (Z/3Z), where 7 : 3 is the unique non-abelian group of order 21. Let G be a group of automorphisms of a fake projective plane X. In this paper ...
متن کاملCyclic Quotients of Fake Projective Planes
Recently, Prasad and Yeung classified all possible fundamental groups of fake projective planes. According to their result, many fake projective planes admit an automorphism of prime order, and in that case the order must be 3 or 7. Let σ be an automorphism of prime order of a fake projective plane X. In this paper we classify all possible structures of the quotient surface X/σ and its minimal ...
متن کاملArithmetic Structure of Cmsz Fake Projective Planes
In [CMSZ2], Cartwright, Mantero, Steger, and Zappa discovered a unitary group in three variables with respect to the quadratic extension Q( √ −15)/Q whose integral model over the integer ring with the prime 2 inverted gives rise to a diadic discrete group acting transitively on vertices of Bruhat-Tits building over Q2. Inside the integral model are three subgroups to which the restricted action...
متن کاملExceptional Collection of Objects on Some Fake Projective Planes
The purpose of the article is to explain a new method to study existence of a sequence of exceptional collection of length three for fake projective planes M with large automorphism group. This provides more examples to a question in [GKMS].
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: Inventiones mathematicae
سال: 2010
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-010-0259-6