20 citations · 25 across the 5 of their papers we have counts for
6 papers
Cohomology of finite graded group varieties
Camil I. Aponte Román, Alberto Chiecchio
We prove that, if is a positively graded, graded commutative, local, finite Hopf algebra, its cohomology is finitely generated, thus unifying classical results of Wilkerson and…
Test ideals in rings with finitely generated anti-canonical algebras
Alberto Chiecchio, Florian Enescu, Lance Edward Miller +1
Many results are known about test ideals and -singularities for -Gorenstein rings. In this paper we generalize many of these results to the case when the symbolic Rees…
About a Minimal Model Program without flips
Alberto Chiecchio
We introduce a new vector space associated to projective variety, the Weil Neron-Severi space, which we show is finitely generated and contains the usual Neron-Severi space as a su…
Ample Weil divisors
Alberto Chiecchio, Stefano Urbinati
We define and study positivity (nefness, amplitude, bigness and pseudo-effectiveness) for Weil divisors on normal projective varieties. We prove various characterizations, vanishin…
Some properties and examples of log terminal+ singularities
Alberto Chiecchio
In "Singularities on Normal Varieties", de Fernex and Hacon started the study of singularities on non-Q-Gorenstein varieties using pullbacks of Weil divisors. In "Log Terminal Sing…
Log Terminal Singularities
Alberto Chiecchio, Stefano Urbinati
In this paper we give a new point of view for optimizing the definitions related to the study of singularities of normal varieties, introduced in [dFH09] and further studied in [Ur…