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4 papers · 2 filters
Cech cohomology over
Jaret Flores, Matt Szczesny, Oliver Lorscheid
In this text, we generalize Cech cohomology to sheaves with values in blue -modules where is a blueprint with . If is an object of the underlying site,…
Multiple point spaces of finite holomorphic maps
J. J. Nuño-Ballesteros, G. Peñafort-Sanchis
We show that there exists a unique possible definition, with certain natural properties, of the multiple point space of a holomorphic map between complex manifolds. Our constructio…
Explicit log Fano structures on blow-ups of projective spaces
Carolina Araujo, Alex Massarenti
In this paper we determine which blow-ups of at general points are log Fano, that is, when there exists an effective -divisor such that $-(K_X+Δ)…
Families of Calabi-Yau hypersurfaces in -Fano toric varieties
Michela Artebani, Paola Comparin, Robin Guilbot
We provide a sufficient condition for a general hypersurface in a -Fano toric variety to be a Calabi-Yau variety in terms of its Newton polytope. Moreover, we define a g…