AbstractWe show that the fake projective planes that are constructed from dyadic discrete subgroups discovered by Cartwright, Mantero, Steger, and Zappa are realized as connected components of certain unitary Shimura surfaces. As a corollary we show that these fake projective planes have models defined over the number field Q(−3,5)
A fake real projective space is a manifold homotopy equivalent to real projective space, but not dif...
Using results of S. D. Cohen and the author, we characterize certain infinite families of finite sem...
Abstract. We study configurations of 2-planes in P4 that are combinatorially described by the Peters...
Building upon the classification of Prasad and Yeung [Invent. Math. 168 (2007) 321–370], we have sho...
Fake projective planes are smooth complex surfaces of general type with Betti numbers equal to that ...
We study Dolgachev elliptic surfaces with a double and a triple fiber andfind explicit equations of ...
In a recent paper we have classified fake projective planes. Natural higher dimensional generalizati...
We study Dolgachev elliptic surfaces with a double and a triple fiber and find explicit equations of...
AbstractA fake projective plane is a compact complex surface (a compact complex manifold of dimensio...
We define variants of PEL type of the Shimura varieties that appear in the context of the arithmetic...
International audienceNaive discrete planes are well known to be functional on a coordinate plane. T...
A fake quadric is a smooth projective surface that has the same rational cohomology as a smooth quad...
NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in...
In [8], we define and partially classify fake real planes, that is, minimal complex surfaces with con...
This article examines the universal polytope P(of type {5, 3, 5}) whose facets are dodecahedra, and ...
A fake real projective space is a manifold homotopy equivalent to real projective space, but not dif...
Using results of S. D. Cohen and the author, we characterize certain infinite families of finite sem...
Abstract. We study configurations of 2-planes in P4 that are combinatorially described by the Peters...
Building upon the classification of Prasad and Yeung [Invent. Math. 168 (2007) 321–370], we have sho...
Fake projective planes are smooth complex surfaces of general type with Betti numbers equal to that ...
We study Dolgachev elliptic surfaces with a double and a triple fiber andfind explicit equations of ...
In a recent paper we have classified fake projective planes. Natural higher dimensional generalizati...
We study Dolgachev elliptic surfaces with a double and a triple fiber and find explicit equations of...
AbstractA fake projective plane is a compact complex surface (a compact complex manifold of dimensio...
We define variants of PEL type of the Shimura varieties that appear in the context of the arithmetic...
International audienceNaive discrete planes are well known to be functional on a coordinate plane. T...
A fake quadric is a smooth projective surface that has the same rational cohomology as a smooth quad...
NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in...
In [8], we define and partially classify fake real planes, that is, minimal complex surfaces with con...
This article examines the universal polytope P(of type {5, 3, 5}) whose facets are dodecahedra, and ...
A fake real projective space is a manifold homotopy equivalent to real projective space, but not dif...
Using results of S. D. Cohen and the author, we characterize certain infinite families of finite sem...
Abstract. We study configurations of 2-planes in P4 that are combinatorially described by the Peters...
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