Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Montoya, William D"'
We introduce a toric version of the sheaf of logarithmic vector fields along a divisor of a simplicial toric variety. The notion is also relevant for algebraically independent families of polynomials in the Cox ring. We provide a generalisation of th
Externí odkaz:
http://arxiv.org/abs/2408.10671
We study G-graded Artinian algebras having Poincar\'e duality and their Lefschetz properties. We prove the equivalence between the toric setup and the G-graded one, and a Hessian criterion in the G-graded setup. We provide an application to toric geo
Externí odkaz:
http://arxiv.org/abs/2407.17811
Autor:
Montoya, William D.
Firstly we show a generalization of the (1,1)-Lefschetz theorem for projective toric orbifolds and secondly we prove that on 2k-dimensional quasi-smooth hypersurfaces coming from quasi-smooth intersection surfaces, under the Cayley trick, every ratio
Externí odkaz:
http://arxiv.org/abs/2302.03803
Autor:
Bruzzo, Ugo, Montoya, William D.
We continue our study of the Noether-Lefschetz loci in toric varieties and investigate deformation of pairs (V,X) where V is a complete intersection subvariety and X a quasi-smooth hypersurface in a odd dimensional simplicial projective toric variety
Externí odkaz:
http://arxiv.org/abs/2203.00664
Autor:
Bruzzo, Ugo, Montoya, William D.
Publikováno v:
S\~ao Paulo J. Math. Sci. 15 (2021) 682-694
We establish the Hodge conjecture for some subvarieties of a class of toric varieties. First we study quasi-smooth intersections in a projective simplicial toric variety, which is a suitable notion to generalize smooth complete intersection subvariet
Externí odkaz:
http://arxiv.org/abs/2102.01050
Autor:
Bruzzo, Ugo, Montoya, William D.
Publikováno v:
Eur. J. Math. 11 (2022) 806--814
For a quasi-smooth hyper-surface $X$ in a projective simplicial toric variety $P$, the morphism $i:H^p(P) \to H^p(X)$ induced by the inclusion is injective for $p=d$ and an isomorphism for $p
Externí odkaz:
http://arxiv.org/abs/2001.01960
Autor:
Bruzzo, Ugo, Montoya, William D.
We extend the definition of Noether-Leschetz components to quasi-smooth hypersurfaces in a projective simplicial toric variety of dimension 2k+1, and prove that asymptotically the components whose codimension is upper bounded by a suitable effective
Externí odkaz:
http://arxiv.org/abs/1905.01570
Autor:
Bruzzo, Ugo, Montoya, William D.
Publikováno v:
European Journal of Mathematics; Dec2023, Vol. 9 Issue 4, p1-10, 10p
Autor:
Bruzzo, Ugo, Montoya, William D.
Publikováno v:
European Journal of Mathematics; Sep2022, Vol. 8 Issue 3, p806-814, 9p