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5 papers · 2 filters
Comparison Isomorphisms for Smooth Formal Schemes
Fabrizio Andreatta, Adrian Iovita
For a smooth proper scheme or formal scheme over an unramified, complete DVR of mixed characteristics we prove a comparison isomorphism relating etale cohomology of the generic fib…
P-Adic families of Siegel modular cuspforms
Fabrizio Andreatta, Adrain Iovita, Vincent Pilloni
Let p be an odd prime and g an integer greater or equal to 2. We prove that a finite slope Siegel cuspidal eigenform of genus g can be p-adically deformed over the g-dimensional we…
New examples of Calabi-Yau threefolds and genus zero surfaces
Gilberto Bini, Filippo F. Favale, Jorge Neves +1
We classify the subgroups of the automorphism group of the product of 4 projective lines admitting an invariant anticanonical smooth divisor on which the action is free. As a first…
Quotients of the Dwork Pencil
Gilberto Bini, Alice Garbagnati
In this paper we investigate the geometry of the Dwork pencil in any dimension. More specifically, we study the automorphism group G of the generic fiber of the pencil over the com…
Lines on the Dwork Pencil of Quintic Threefolds
Philip Candelas, Xenia de la Ossa, Bert van Geemen +1
We present an explicit parametrization of the families of lines of the Dwork pencil of quintic threefolds. This gives rise to isomorphic curves which parametrize the lines. These c…