9 citations · 26 across the 9 of their papers we have counts for
9 papers
More on -flux and General Hodge Cycles on the Fermat Sextic
Andreas P. Braun, Hugo Fortin, Daniel Lopez Garcia +1
We study M-Theory solutions with -flux on the Fermat sextic Calabi-Yau fourfold, focussing on the relationship between the number of stabilized complex structure moduli and the…
Periods of join algebraic cycles
Jorge Duque Franco, Roberto Villaflor Loyola
We show, for all even and , that the moduli of smooth degree hypersurfaces of contains infinitely many different Hodge loci whos…
Toric differential forms and periods of complete intersections
Roberto Villaflor Loyola
Let be an even natural number. We compute the periods of any -dimensional complete intersection algebraic cycle inside an -dimensional non-degenerated intersect…
On a Torelli Principle for automorphisms of Klein hypersurfaces
Víctor González-Aguilera, Alvaro Liendo, Pedro Montero +1
Using a refinement of the differential method introduced by Oguiso and Yu, we provide effective conditions under which the automorphisms of a smooth degree hypersurface of $\ma…
On fake linear cycles inside Fermat varieties
Jorge Duque Franco, Roberto Villaflor Loyola
We introduce a new class of Hodge cycles with non-reduced associated Hodge loci, we call them fake linear cycles. We characterize them for all Fermat varieties and show that they e…
Gauss-Manin connection in disguise: Quasi Jacobi forms of index zero
Jin Cao, Hossein Movasati, Roberto Villaflor Loyola
We consider the moduli space of abelian varieties with two marked points and a frame of the relative de Rham cohomolgy with boundary at these points compatible with its mixed Hodge…
Small codimension components of the Hodge locus containing the Fermat variety
Roberto Villaflor Loyola
We characterize the smallest codimension components of the Hodge locus of smooth degree hypersurfaces of the projective space of even dimension , passing…
Integral Hodge conjecture for Fermat varieties
Enzo Aljovin, Hossein Movasati, Roberto Villaflor Loyola
We describe an algorithm which verifies whether linear algebraic cycles of the Fermat variety generate the lattice of Hodge cycles. A computer implementation of this confirms the i…
Periods of linear algebraic cycles
Hossein Movasati, Roberto Villaflor Loyola
In this article we use a theorem of Carlson and Griffiths and compute periods of linear algebraic cycles inside the Fermat variety of even dimension and degree . As an appli…