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- Centre National de la Recherche ScientifiqueFR105 papers
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6 papers · 2 filters
Level- limit linear series
Eduardo Esteves, Antonio Nigro, Pedro Rizzo
We introduce the notion of level- limit linear series, which describe limits of linear series along families of smooth curves degenerating to a singular curve . We treat here…
Toward Effective Liouvillian Integration
Gaël Cousin, Alcides Lins Neto, Jorge Vitório Pereira
We prove that foliations on the projective plane admitting a Liouvillian first integral but not admitting a rational first integral always have invariant algebraic curves of degree…
Gauss-Manin Connection in Disguise: Dwork Family
Hossein Movasati, Younes Nikdelan
We study the moduli space of the Calabi-Yau -folds arising from the Dwork family and enhanced with bases of the -th de Rham cohomology with constant cup product…
Arithmetic of singular character varieties and their -polynomials
David Baraglia, Pedram Hekmati
We calculate the -polynomials of the and -character varieties of compact oriented surfaces of any genus and the -polynomials of the $SL_2…
Quasicoherent sheaves on projective schemes over F_1
Oliver Lorscheid, Matt Szczesny
Given a graded monoid A with 1, one can construct a projective monoid scheme MProj(A) analogous to Proj(R) of a graded ring R. This paper is concerned with the study of quasicohere…
Hopf surfaces in locally conformally Kahler manifolds with potential
Liviu Ornea, Misha Verbitsky
An LCK manifold with potential is a compact quotient M of a Kahler manifold X equipped with a positive plurisubharmonic function f, such that the monodromy group acts on by hol…